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16 pages, 4734 KiB  
Article
Multi-Objective Spatial Optimization of Protective Forests Based on the Non-Dominated Sorting Genetic Algorithm-II Algorithm and Future Land Use Simulation Model: A Case Study of Alaer City, China
by Mingrui Ding, Xiaojun Yin, Shaoliang Pan and Pengshuai Liu
Forests 2025, 16(3), 452; https://doi.org/10.3390/f16030452 - 3 Mar 2025
Viewed by 119
Abstract
Protective forests are vital to ecological security in arid desert regions, but their spatial distribution is often inefficient. This study aims to optimize the spatial distribution of protective forests in Alaer City using a combination of the Non-dominated Sorting Genetic Algorithm-II (NSGA-II) and [...] Read more.
Protective forests are vital to ecological security in arid desert regions, but their spatial distribution is often inefficient. This study aims to optimize the spatial distribution of protective forests in Alaer City using a combination of the Non-dominated Sorting Genetic Algorithm-II (NSGA-II) and the Future Land Use Simulation (FLUS) model. The optimization focuses on three objectives: economic benefits, ecological benefits, and food security. A neural network model is applied to analyze forest distribution suitability based on spatial factors. The results show that the optimized distribution significantly enhances GDP, carbon sequestration, water yield, and food production, while reducing soil erosion. The forest area is mainly concentrated along rivers, agricultural fields, and desert edges, with increased coverage at the Taklamakan Desert’s periphery improving wind and sand resistance. The FLUS model is validated with high accuracy (90.73%). This study provides a theoretical foundation for the sustainable development of protective forests, balancing ecological and economic goals in Alaer City. Full article
(This article belongs to the Section Forest Inventory, Modeling and Remote Sensing)
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<p>Location map of the research area. This map is based on the standard map with the approval number GS (2019) 1822 downloaded from the Ministry of Natural Resources Standard Map Service website.</p>
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<p>The technical roadmap.</p>
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<p>NSGA-II algorithm flow.</p>
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<p>Probability distribution map of suitability of protective forests in Alaer city.</p>
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<p>Spatial distribution map of protective forests before and after optimization. (<b>a</b>) represents the spatial distribution map of protective forests before optimization; (<b>b</b>) represents the spatial distribution map of protective forests after optimization.</p>
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34 pages, 20706 KiB  
Article
Long-Term Stochastic Co-Scheduling of Hydro–Wind–PV Systems Using Enhanced Evolutionary Multi-Objective Optimization
by Bin Ji, Haiyang Huang, Yu Gao, Fangliang Zhu, Jie Gao, Chen Chen, Samson S. Yu and Zenghai Zhao
Sustainability 2025, 17(5), 2181; https://doi.org/10.3390/su17052181 - 3 Mar 2025
Viewed by 202
Abstract
With the increasing presence of large-scale new energy sources, such as wind and photovoltaic (PV) systems, integrating traditional hydropower with wind and PV power into a hydro–wind–PV complementary system in economic dispatch can effectively mitigate wind and PV fluctuations. In this study, Markov [...] Read more.
With the increasing presence of large-scale new energy sources, such as wind and photovoltaic (PV) systems, integrating traditional hydropower with wind and PV power into a hydro–wind–PV complementary system in economic dispatch can effectively mitigate wind and PV fluctuations. In this study, Markov chains and the Copula joint distribution function were adopted to quantize the spatiotemporal relationships among hydro, wind and PV, whereby runoff, wind, and PV output scenarios were generated to simulate their uncertainties. A dual-objective optimization model is proposed for the long-term hydro–wind–PV co-scheduling (LHWP-CS) problem. To solve the model, a well-tailored evolutionary multi-objective optimization method was developed, which combines multiple recombination operators and two different dominance rules for basic and elite populations. The proposed model and algorithm were tested on three annual reservoirs with large wind and PV farms in the Hongshui River Basin. The proposed algorithm demonstrates superior performance, with average improvements of 2.90% and 2.63% in total power generation, and 1.23% and 0.96% in minimum output expectation compared to BORG and NSGA-II, respectively. The results also infer that the number of scenarios is a key parameter in achieving a tradeoff between economics and risk. Full article
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<p>Flowchart of the optimized algorithm for LHWP-CS.</p>
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<p>Illustration of the proposed rule: (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>ϵ</mi> <mo>−</mo> <mi>b</mi> <mi>o</mi> <mi>x</mi> </mrow> </semantics></math> dominance rule and (<b>b</b>) process of using the improved strategy (Red circles and blue circles represent the solution sets of different levels after sorting, and the stars represent new solutions.).</p>
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<p>Illustration of the short-term correction mechanism.</p>
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<p>Schematic diagram of the hydro–wind–PV joint power generation system in the hongshui river basin.</p>
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<p>Transition probability matrix for runoff: (<b>a</b>) February and March; (<b>b</b>) May and June; (<b>c</b>) August and September; (<b>d</b>) November and December.</p>
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<p>Cumulative transition frequency matrix for runoff: (<b>a</b>) February and March; (<b>b</b>) May and June; (<b>c</b>) August and September; (<b>d</b>) November and December.</p>
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<p>Marginal cumulative probability distribution function: (<b>a</b>) runoff; (<b>b</b>) wind; (<b>c</b>) PV.</p>
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<p>Probability density function for Copula function: (<b>a</b>) wind–PV; (<b>b</b>) wind–runoff; (<b>c</b>) wind–runoff–PV.</p>
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<p>Uncertainty scenarios: (<b>a</b>) runoff; (<b>b</b>) wind output; (<b>c</b>) PV output.</p>
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<p>Input of each power station in a single scenario: (<b>a</b>) runoff, (<b>b</b>) wind power and (<b>c</b>) PV output.</p>
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<p>Pareto front solutions obtained in a single scenario.</p>
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<p>Discharge flows of each power station obtained under a single scenario.</p>
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<p>Water level, and power output of each power station obtained under a single scenario: (<b>a</b>) water level variation curves, (<b>b</b>) power output variation curves.</p>
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<p>Short-term corrected hydro–wind–PV stacked power output chart for TianshengqiaoI in a single scenario: (<b>a</b>) stack plot shown by month and (<b>b</b>) local enlarged hourly stacking diagram.</p>
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<p>Runoff input of each power station in multiple scenarios.</p>
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<p>Wind power input of each power station in multiple scenarios: (<b>a</b>) line chart displayed by month and (<b>b</b>) partial magnification of first week.</p>
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<p>PV output of each power station in multiple scenarios: (<b>a</b>) line chart displayed by month and (<b>b</b>) partial magnification of first week.</p>
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<p>Pareto front solutions obtained in different scenarios.</p>
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<p>Discharge flow of each power station in multiple scenarios.</p>
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<p>Water level, and power output of each power station in multiple scenarios: (<b>a</b>) water level variation curves and (<b>b</b>) power output variation curves.</p>
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<p>Short-term corrected hydro–wind–PV stacked power output chart for Yantan in a certain scenario: (<b>a</b>) stack plot shown by month and (<b>b</b>) local enlarged hourly stacking diagram.</p>
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<p>Short-term corrected hydro–wind–PV box plot for stations in multiple scenarios: (<b>a</b>) TianshengqiaoI, (<b>b</b>) Longtan and (<b>c</b>) Yantan.</p>
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<p>Comparison of execution times for different algorithms (<b>a</b>) and comparison of Pareto fronts obtained from different algorithms (<b>b</b>).</p>
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<p>Effects of different operators and dominance rules on the resulting Pareto front.</p>
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27 pages, 4500 KiB  
Article
Low Capillary Elastic Flow Model Optimization Using the Lattice Boltzmann Method and Non-Dominated Sorting Genetic Algorithm
by Yaqi Hou, Wei Zhang, Jiahua Hu, Feiyu Gao and Xuexue Zong
Micromachines 2025, 16(3), 298; https://doi.org/10.3390/mi16030298 - 28 Feb 2025
Viewed by 257
Abstract
In simulations of elastic flow using the lattice Boltzmann method (LBM), the steady-state behavior of the flow at low capillary numbers is typically poor and prone to the formation of bubbles with inhomogeneous lengths. This phenomenon undermines the precise control of heat transfer, [...] Read more.
In simulations of elastic flow using the lattice Boltzmann method (LBM), the steady-state behavior of the flow at low capillary numbers is typically poor and prone to the formation of bubbles with inhomogeneous lengths. This phenomenon undermines the precise control of heat transfer, mass transfer, and reactions within microchannels and microreactors. This paper establishes an LBM multiphase flow model enhanced by machine learning. The hyperparameters of the machine learning model are optimized using the particle swarm algorithm. In contrast, the non-dominated sorting genetic algorithm (NSGA-II) is incorporated to optimize bubble lengths and stability. This results in a coupled multiphase flow numerical simulation model that integrates LBM, machine learning, and the particle swarm algorithm. Using this model, we investigate the influence of elastic flow parameters on bubble length and stability in a T-shaped microchannel. The simulation results demonstrate that the proposed LBM multiphase flow model can effectively predict bubble elongation rates under complex conditions. Furthermore, multi-objective optimization determines the optimal gas–liquid two-phase inlet flow rate relationship, significantly mitigating elastic flow instability at low capillary numbers. This approach enhances the controllability of the elastic flow process and improves the efficiency of mass and heat transfer. Full article
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<p>Microchannel model.</p>
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<p>Pressure distribution along the droplet centerline.</p>
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<p>Verification of Laplace’s law.</p>
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<p>Contact angle verification.</p>
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<p>Verification of thermodynamic consistency.</p>
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<p>Bubble formation process, red represents the liquid phase and blue represents the gas phase, (<b>a</b>–<b>c</b>) are the gradual expansion of the gas phase, (<b>d</b>–<b>f</b>) are the collapse of the bubble within the main channel, (<b>g</b>,<b>h</b>) are the bubble break-up at the junction.</p>
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<p>Machine learning modeling flowchart.</p>
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<p>Schematic diagram of the length of the bubbles, red represents the liquid phase and blue represents the gas phase.</p>
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<p>Algorithm flowchart.</p>
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<p>Correlation between predicted and true values of the training set using three different models. (<b>a</b>) PSO-SVR model Coefficient of determination R<sup>2</sup> = 0.62, (<b>b</b>) PSO-BP model Coefficient of determination R<sup>2</sup> = 0.80, (<b>c</b>) PSO-RF model Coefficient of determination R2 = 0.85.</p>
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<p>Correlation between predicted and true values of the test set using three different models. (<b>a</b>) PSO-SVR model coefficient of determination R<sup>2</sup> = 0.61, (<b>b</b>) PSO-BP model coefficient of determination R2 = 0.81, (<b>c</b>) PSO-RF model coefficient of determination R2 = 0.84.</p>
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<p>Variation of bubble length with stochastic model parameters. (<b>a</b>) The first set of simulation results. (<b>b</b>) The second set of simulation results. (<b>c</b>) The third set of simulation results. Red represents the liquid phase and blue represents the gas phase.</p>
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<p>Comparison of the performance of the three machine learning models.</p>
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<p>Pareto frontier curve.</p>
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<p>Optimal solution set validation. (<b>a</b>) Fourth set of simulation results. (<b>b</b>) Group V simulation results. (<b>c</b>) Non-optimized results. (<b>d</b>) Non-optimized results. Red represents the liquid phase and blue represents the gas phase.</p>
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<p>Variation of bubble length with stochastic model parameters. Red represents the liquid phase and blue represents the gas phase.</p>
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25 pages, 9993 KiB  
Article
Comprehensive Performance-Oriented Multi-Objective Optimization of Hemispherical Resonator Structural Parameters
by Xiaohao Liu, Xin Jin, Chaojiang Li, Yumeng Ma, Deshan Xu and Simin Guo
Micromachines 2025, 16(3), 287; https://doi.org/10.3390/mi16030287 - 28 Feb 2025
Viewed by 192
Abstract
The hemispherical resonant gyroscope is the highest-precision solid-state vibration gyroscope, widely applied in aviation, aerospace, marine, and other navigation fields. As the core component of the hemispherical resonant gyroscope, the design of its structural parameters directly influences the key performance parameters of the [...] Read more.
The hemispherical resonant gyroscope is the highest-precision solid-state vibration gyroscope, widely applied in aviation, aerospace, marine, and other navigation fields. As the core component of the hemispherical resonant gyroscope, the design of its structural parameters directly influences the key performance parameters of the resonator—specifically, the thermoelastic damping quality factor and the minimum frequency difference from interference modes—affecting the operational accuracy and lifespan of the gyroscope. However, existing research, both domestic and international, has not clarified the effect of structural parameters on performance laws. Thus, studying the mapping relationship between the resonator’s performance and structural parameters is essential for optimization. In this study, a hemispherical resonator with a midplane radius of 10 mm serves as the research object. Based on a high-precision finite element simulation model of an ideal hemispherical resonator, the mechanism of thermoelastic damping and the influence of structural parameters on performance are analyzed. A PSO-BP neural network mapping model is then developed to relate the resonator’s structural and performance parameters. Subsequently, the NSGA-II algorithm is applied to perform multi-objective mapping of these parameters, achieving an optimized resonator with a 4.61% increase in the minimum frequency difference from interference modes and a substantial improvement in thermoelastic damping of approximately 70.41%. The comprehensive, performance-oriented multi-objective optimization method for the structural parameters of hemispherical resonators proposed in this paper offers a cost-effective approach to high-performance design and optimization, and it can also be applied to other manufacturing processes under specific conditions. Full article
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<p>Schematic structure and uniform finite element meshing of hemispherical resonator. (<b>a</b>) physical diagram. (<b>b</b>) geometric structure schematic. (<b>c</b>) uniform division of the hemispherical resonator mesh.</p>
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<p>Temperature field distribution and heat conduction path in the operating mode of hemispherical resonator. (<b>a</b>) Temperature field distribution in operating mode. (<b>b</b>) Heat transfer paths in operating modes.</p>
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<p>Plot of elastic strain energy analysis of hemispherical resonator. (<b>a</b>) Cloud diagram of elastic strain energy distribution. (<b>b</b>) Elastic strain energy distribution ratio.</p>
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<p>Comparison of the finite element model presented in this paper with the model from the literature [<a href="#B21-micromachines-16-00287" class="html-bibr">21</a>].</p>
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<p>Influence of <span class="html-italic">R</span> on <span class="html-italic">f</span>, ∆<span class="html-italic">f<sub>min</sub></span>, and <span class="html-italic">Q<sub>TED</sub></span>. (<b>a</b>) <span class="html-italic">t</span> = 0.5 mm. (<b>b</b>) <span class="html-italic">t</span> = 1 mm. (<b>c</b>) <span class="html-italic">t</span> = 1.25 mm. (<b>d</b>) <span class="html-italic">t</span> = 1.5 mm.</p>
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<p>Influence of <span class="html-italic">t</span> on <span class="html-italic">f</span>, ∆<span class="html-italic">f<sub>min</sub></span>, and <span class="html-italic">Q<sub>TED</sub></span>. (<b>a</b>) <span class="html-italic">R</span> = 10 mm. (<b>b</b>) <span class="html-italic">R</span> = 14 mm. (<b>c</b>) <span class="html-italic">R</span> = 16 mm. (<b>d</b>) <span class="html-italic">R</span> = 18 mm.</p>
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<p>Influence of <span class="html-italic">r</span> on <span class="html-italic">f</span>, ∆<span class="html-italic">f<sub>min</sub></span>, and <span class="html-italic">Q<sub>TED</sub></span>. (<b>a</b>) <span class="html-italic">a</span> = 2.5 mm. (<b>b</b>) <span class="html-italic">a</span> = 3 mm. (<b>c</b>) <span class="html-italic">a</span> = 4 mm. (<b>d</b>) <span class="html-italic">a</span> = 5 mm.</p>
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<p>Influence of <span class="html-italic">a</span> on <span class="html-italic">f</span>, ∆<span class="html-italic">f<sub>min</sub></span>, and <span class="html-italic">Q<sub>TED</sub></span>. (<b>a</b>) <span class="html-italic">r</span> = 1.6 mm. (<b>b</b>) <span class="html-italic">r</span> = 2 mm. (<b>c</b>) <span class="html-italic">r</span> = 2.4 mm. (<b>d</b>) <span class="html-italic">r</span> = 2.8 mm.</p>
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<p>Influence of <span class="html-italic">L</span><sub>1</sub> on <span class="html-italic">f</span>, ∆<span class="html-italic">f<sub>min</sub></span>, and <span class="html-italic">Q<sub>TED</sub></span>. (<b>a</b>) <span class="html-italic">L</span><sub>2</sub> = 3 mm. (<b>b</b>) <span class="html-italic">L</span><sub>2</sub> = 5 mm. (<b>c</b>) <span class="html-italic">L</span><sub>2</sub> = 8 mm. (<b>d</b>) <span class="html-italic">L</span><sub>2</sub> = 10 mm.</p>
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<p>Effect of multivariate nonlinear regression model of <span class="html-italic">f</span>. (<b>a</b>) Comparison of true and predicted values of training set. (<b>b</b>) Comparison of true and predicted values for testing set. (<b>c</b>) Percentage error between true and predicted values of training set. (<b>d</b>) Percentage error between true and predicted values of testing set.</p>
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<p>Effect of multivariate nonlinear regression model of ∆<span class="html-italic">f<sub>min</sub></span>. (<b>a</b>) Comparison of true and predicted values of training set. (<b>b</b>) Comparison of true and predicted values for testing set. (<b>c</b>) Percentage error between true and predicted values of training set. (<b>d</b>) Percentage error between true and predicted values of testing set.</p>
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<p>Effect of multivariate nonlinear regression model of <span class="html-italic">Q<sub>TED</sub></span>. (<b>a</b>) Comparison of true and predicted values of training set. (<b>b</b>) Comparison of true and predicted values for testing set. (<b>c</b>) Percentage error between true and predicted values of training set. (<b>d</b>) Percentage error between true and predicted values of testing set.</p>
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<p>Structure of BP neural network.</p>
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<p>Structure of PSO-BP neural network.</p>
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<p>Particle swarm optimal fitness change curve. (<b>a</b>) Phase 1. (<b>b</b>) Phase 2.</p>
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<p>Effectiveness of the PSO-BP prediction model of <span class="html-italic">f</span>. (<b>a</b>) Comparison of true and predicted values of the training set. (<b>b</b>) Comparison of true and predicted values for the testing set. (<b>c</b>) Percentage error between true and predicted values of the training set. (<b>d</b>) Percentage error between true and predicted values of the testing set.</p>
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<p>Effectiveness of the PSO-BP prediction model of ∆<span class="html-italic">f<sub>min</sub></span>. (<b>a</b>) Comparison of true and predicted values of the training set. (<b>b</b>) Comparison of true and predicted values for the testing set. (<b>c</b>) Percentage error between true and predicted values of the training set. (<b>d</b>) Percentage error between true and predicted values of the testing set.</p>
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<p>Effectiveness of PSO-BP prediction model of <span class="html-italic">Q<sub>TED</sub></span>. (<b>a</b>) Comparison of true and predicted values of the training set. (<b>b</b>) Comparison of true and predicted values for the testing set. (<b>c</b>) Percentage error between true and predicted values of the training set. (<b>d</b>) Percentage error between true and predicted values of the testing set.</p>
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<p>Flowchart of NSGA-II algorithm.</p>
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<p>Pareto solution set for NSGA-II algorithm.</p>
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25 pages, 3082 KiB  
Article
Double Deep Q-Network-Based Solution to a Dynamic, Energy-Efficient Hybrid Flow Shop Scheduling System with the Transport Process
by Qinglei Zhang, Huaqiang Si, Jiyun Qin, Jianguo Duan, Ying Zhou, Huaixia Shi and Liang Nie
Systems 2025, 13(3), 170; https://doi.org/10.3390/systems13030170 - 28 Feb 2025
Viewed by 213
Abstract
In this paper, a dynamic energy-efficient hybrid flow shop (TDEHFSP) scheduling model is proposed, considering random arrivals of new jobs and transport by transfer vehicles. To simultaneously optimise the maximum completion time and the total energy consumption, a co-evolutionary approach (DDQCE) using a [...] Read more.
In this paper, a dynamic energy-efficient hybrid flow shop (TDEHFSP) scheduling model is proposed, considering random arrivals of new jobs and transport by transfer vehicles. To simultaneously optimise the maximum completion time and the total energy consumption, a co-evolutionary approach (DDQCE) using a double deep Q-network (DDQN) is introduced, where global and local search tasks are assigned to different populations to optimise the use of computational resources. In addition, a multi-objective NEW heuristic strategy is implemented to generate an initial population with enhanced convergence and diversity. The DDQCE incorporates an energy-efficient strategy based on time interval ‘left shift’ and turn-on/off mechanisms, alongside a rescheduling model to manage dynamic disturbances. In addition, 36 test instances of varying sizes, simplified from the excavator boom manufacturing process, are designed for comparative experiments with traditional algorithms. The experimental results demonstrate that DDQCE achieves 40% more Pareto-optimal solutions compared to NSGA-II and MOEA/D while requiring 10% less computational time, confirming that this algorithm efficiently solves the TDEHFSP problem. Full article
(This article belongs to the Section Supply Chain Management)
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<p>The dynamic rescheduling system framework.</p>
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<p>Results without turn-on/off mechanisms; Gantt chart.</p>
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<p>Results with turn-on/off mechanisms; Gantt chart.</p>
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<p>Two-point order crossover.</p>
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<p>Swap sequence mutation.</p>
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<p>Local search operators: CSwap, CInsr, and CInv.</p>
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<p>Main effect plot of parameter tuning.</p>
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<p>The Pareto solution results of 10-5-3-3.</p>
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<p>The Pareto solution results of 20-5-3-3.</p>
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<p>The Pareto solution results of 50-5-3-3.</p>
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<p>Sensitivity results plot for <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>T</mi> <mi>E</mi> <mi>C</mi> </mrow> </semantics></math>. (Assuming the values of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>C</mi> </mrow> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>T</mi> <mi>E</mi> <mi>C</mi> </mrow> </semantics></math> are 1 when <math display="inline"><semantics> <mrow> <mi mathvariant="normal">q</mi> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math>).</p>
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19 pages, 8849 KiB  
Article
A Bi-Level Programming-Based Method for Service Composition Optimization of Collaborative Manufacturing of Sewing Machine Cases
by Gan Shi, Shanhui Liu, Keqiang Shi, Langze Zhu, Zhenjie Gao and Jiayue Zhang
Machines 2025, 13(3), 195; https://doi.org/10.3390/machines13030195 - 28 Feb 2025
Viewed by 176
Abstract
Aiming at the problem of optimizing the composition of manufacturing resources in part-level outsourcing of sewing machine case manufacturing, this paper proposes a service composition optimization method based on bi-level programming. We analyze the structure and production process of sewing machine cases, determine [...] Read more.
Aiming at the problem of optimizing the composition of manufacturing resources in part-level outsourcing of sewing machine case manufacturing, this paper proposes a service composition optimization method based on bi-level programming. We analyze the structure and production process of sewing machine cases, determine the required service composition of manufacturing resources, and establish the evaluation indicator system of manufacturing service composition in line with the interests of multiple parties. We also introduce the idea of bi-level programming, construct the optimization model of manufacturing service composition of sewing machine cases based on bi-level planning, analyze the characteristics of NSGA-Ⅱ (Non-dominated Sorting Genetic Algorithm II) algorithm and the improvement strategy, and complete the solution of the optimization model of manufacturing service composition of sewing machine cases. The experimental results show that the composition optimization method and the algorithm improvement strategy can well solve the bi-level programming model of sewing machine cases in the case of complex feature information and avoid falling into the local optimal solution. Full article
(This article belongs to the Special Issue Smart Machining and Machine Tools)
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<p>Sewing machine case structure and production process flow.</p>
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<p>Process of manufacturing resource service composition optimization.</p>
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<p>Decision-making process for evaluating the service composition of case manufacturing resources.</p>
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<p>Evaluation indicator system for case manufacturing resource service composition optimization.</p>
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<p>Case manufacturing resource composition optimization bi-level programming models.</p>
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<p>NSGA-II process for solving bi-level programming models.</p>
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<p>Average fitness statistics and computational time consumption statistics on the composition optimization problem for manufacturing sewing machine case heads.</p>
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<p>Distribution of optimal QoS solutions on the composition optimization problem of sewing machine case heads manufacturing.</p>
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<p>Distribution of solutions to the problem of optimization of the composition optimization of the manufacturing of sewing machine case heads.</p>
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18 pages, 3047 KiB  
Article
Drilling Parameter Control Based on Online Identification of Drillability and Multi-Objective Optimization
by Jianbo Dai, Xilu Yin, Yan Zhang, Lei Si, Dong Wei, Zhongbin Wang and Longmei Zhao
Machines 2025, 13(3), 191; https://doi.org/10.3390/machines13030191 - 27 Feb 2025
Viewed by 136
Abstract
Aiming at the problem that drilling parameters are difficult to adjust in time for the driller due to the complex geological environment in underground coal mines, a drilling parameter control method based on online identification of drillability and multi-objective optimization of drilling parameters [...] Read more.
Aiming at the problem that drilling parameters are difficult to adjust in time for the driller due to the complex geological environment in underground coal mines, a drilling parameter control method based on online identification of drillability and multi-objective optimization of drilling parameters is proposed. A drillability grade identification model is established, with rotational speed and torque as input parameters, which can accurately identify the current drilling state. A multi-objective optimization model of the optimal drilling parameters is established with the mechanical specific energy and drilling speed prediction model as the objective functions, and the NSGA-II algorithm and TOPSIS algorithm are used for solutions and decision-making. A fuzzy PID controller is established. For the control of rotational speed parameters and drilling pressure parameters, the advantages and disadvantages of the fuzzy PID control method and the traditional PID control method are compared through simulation and experiments. A control method based on the drillability identification model and the multi-objective optimization model is established. According to the different drillability grades, the drilling parameters are adjusted in time to ensure the normal drilling state. By constantly approaching the optimal parameters through the drilling parameters, the drilling efficiency is improved. Through experimental verification, this control method effectively prevents the occurrence of drilling speed reduction and intermittent sticking and can adjust the drilling parameters to continuously optimize. Full article
(This article belongs to the Special Issue Advanced Methodology of Intelligent Control and Measurement)
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<p>Micro-drilling test system.</p>
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<p>Comparison of torque and drilling speed values under different operating conditions.</p>
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<p>Experimental results of Pareto solution set.</p>
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<p>Fuzzy PID control stepper motor speed system simulation diagram.</p>
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<p>Response curves of speed control for PID and fuzzy PID.</p>
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<p>PID control servo motor drilling pressure system simulation diagram.</p>
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<p>Experimental response curves of speed control for PID and fuzzy PID.</p>
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<p>Adaptive optimization and control process.</p>
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<p>Adaptive optimization control curve of slow drilling state.</p>
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<p>Adaptive optimization control variation curve of intermittent stuck state.</p>
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51 pages, 17385 KiB  
Article
Simulation-Based Multi-Objective Optimization for Building Retrofits in Iran: Addressing Energy Consumption, Emissions, Comfort, and Indoor Air Quality Considering Climate Change
by Farshid Dehghan and César Porras Amores
Sustainability 2025, 17(5), 2056; https://doi.org/10.3390/su17052056 - 27 Feb 2025
Viewed by 251
Abstract
Climate change poses significant challenges to energy efficiency and occupant comfort in residential buildings. This study introduces a simulation-based multi-objective optimization approach for architectural design, aimed at addressing these challenges and enhancing environmental sustainability. Utilizing EnergyPlus for energy simulations and jEPlus to identify [...] Read more.
Climate change poses significant challenges to energy efficiency and occupant comfort in residential buildings. This study introduces a simulation-based multi-objective optimization approach for architectural design, aimed at addressing these challenges and enhancing environmental sustainability. Utilizing EnergyPlus for energy simulations and jEPlus to identify objective functions and design parameters, the research employed the NSGA-II algorithm through jEPlus + EA for multi-objective optimization. A Morris sensitivity analysis assessed the impact of 25 design variables—including heating and cooling setpoints, air infiltration rates, insulation types, window selections, airflow rates, and HVAC systems—on key objective functions. Applied to a residential building in Sari, Iran, the study analyzed various climate change scenarios to minimize five main objectives: primary energy consumption, greenhouse gas emissions, indoor air quality, predicted percentage of dissatisfied, and visual discomfort hours. The weighted sum method was used to select optimal solutions from the Pareto front. Results demonstrated that the recommended energy retrofit strategies could reduce primary energy consumption by up to 60%, greenhouse gas emissions by 60%, predicted thermal dissatisfaction by 65%, and visual discomfort hours by 83%, while also achieving indoor air quality levels that meet ASHRAE recommended standards. However, the implementation of these energy-efficient solutions may require careful consideration of trade-offs in design decisions when addressing climate change challenges. Full article
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<p>Methodology framework.</p>
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<p>Methodology framework.</p>
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<p>Greenhouse gas emissions [<a href="#B31-sustainability-17-02056" class="html-bibr">31</a>].</p>
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<p>The predicted percentage of dissatisfied individuals (<span class="html-italic">PPD</span>) based on the predicted mean vote (<span class="html-italic">PMV</span>) [<a href="#B41-sustainability-17-02056" class="html-bibr">41</a>].</p>
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<p>Monthly ranges of dry-bulb, wet-bulb temperatures, and relative humidity in Sari, Iran.</p>
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<p>Comparison of actual building electricity consumption with simulated results.</p>
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<p>Comparison of actual building natural gas consumption with simulated results.</p>
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<p>Identifying weaknesses of the model by annual building sensible heat gain components.</p>
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<p>Schematic of a packaged terminal air conditioner featuring a draw-through fan placement [<a href="#B43-sustainability-17-02056" class="html-bibr">43</a>].</p>
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<p>Psychrometric chart: ASHRAE standard 55-2004 using <span class="html-italic">PMV</span>.</p>
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<p>Sensitivity analysis using the Morris method.</p>
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<p>Case study building.</p>
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<p>Baseline building model.</p>
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<p>Rendering by thermal zones.</p>
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<p>Rendering by construction.</p>
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<p>Rendering by boundary conditions.</p>
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<p>Solar panel.</p>
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<p>Pareto front of Scenario 1—present climate condition.</p>
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<p>Scatter with categories of primary energy consumption and IAQ (Scenario 1).</p>
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<p>Scatter with categories of primary energy consumption and <span class="html-italic">PPD</span> (Scenario 1).</p>
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<p>Output metrics boxplot of HVAC systems (Scenario 1).</p>
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<p>Bubble chart of HVAC systems.</p>
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<p>All parallel coordinates.</p>
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<p>Selected ERMs for optimal solutions of Scenario 1—present climate.</p>
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<p>The distribution of HVAC systems in the Pareto front in the Scenario 1—present climate.</p>
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<p>Pareto front of Scenario 2—climate change (2050).</p>
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<p>Selected ERMs for optimal solutions of Scenario 2—climate change (2050).</p>
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<p>Scatter with categories of primary energy consumption and IAQ (Scenario 2 considering climate change in 2050).</p>
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<p>Scatter with categories of primary energy consumption and <span class="html-italic">PPD</span> (Scenario 2 considering climate change in 2050).</p>
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<p>Output metrics boxplot of HVAC systems (Scenario 2 considering climate change in 2050).</p>
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<p>Bubble chart of HVAC systems related to Scenario 2 (2050).</p>
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<p>The distribution of HVAC systems in the Pareto front in the second scenario (2050).</p>
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<p>Pareto front of Scenario 2—climate change (2080).</p>
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<p>Chosen energy retrofit measures (ERMs) for the optimal solutions of Scenario 2—climate change (2080).</p>
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<p>Scatter with categories of primary energy consumption and IAQ (Scenario 2 considering climate change in 2080).</p>
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<p>Scatter with categories of primary energy consumption and <span class="html-italic">PPD</span> (Scenario 2 considering climate change in 2080).</p>
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<p>Output metrics boxplot of HVAC systems (Scenario 2 considering climate change in 2080).</p>
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<p>Bubble chart of HVAC systems related to Scenario 2 (2080).</p>
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<p>The distribution of HVAC systems in the Pareto front in the second scenario (2080).</p>
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<p>EP-Compare: comparison of total site energy, net site energy, total source energy, and net source energy across both scenarios relative to baseline values.</p>
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<p>Total energy [kWh]-net source energy (primary energy consumption).</p>
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<p>Energy Use Intensity (EUI)-energy per total building area [kWh/m<sup>2</sup>].</p>
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16 pages, 4173 KiB  
Article
Stiffness Optimization for Hybrid Electric Vehicle Powertrain Mounting System in the Context of NSGA II for Vibration Decoupling and Dynamic Reaction Minimization
by Zhanpeng Fang, Qihang Li, Lei Yao and Xiaojuan Hu
World Electr. Veh. J. 2025, 16(3), 131; https://doi.org/10.3390/wevj16030131 - 27 Feb 2025
Viewed by 68
Abstract
In order to solve the problem of the insufficient vibration isolation performance of passenger cars in the suspension matching process, the six-degree-of-freedom (6-DOF) model, including three translational (x, y, z) and three rotational (roll, pitch, yaw) degrees of freedom, [...] Read more.
In order to solve the problem of the insufficient vibration isolation performance of passenger cars in the suspension matching process, the six-degree-of-freedom (6-DOF) model, including three translational (x, y, z) and three rotational (roll, pitch, yaw) degrees of freedom, is established to comprehensively analyze the dynamic behavior of the powertrain mounting system. A 6-DOF dynamic model was established to analyze the decoupling rate and frequency distribution in its inherent characteristics, calculate the dynamic reaction of the suspension system, set the decoupling rate and the dynamic reaction of the suspension as optimization objectives, and use the NSGA II (Non-dominated Sorting Genetic Algorithm II) optimization algorithm to optimize the stiffness of the suspension. The 6-DOF decoupling of the whole suspension system is optimized and the dynamic reaction transmitted to the body is minimized. At the same time, this ensures that each suspension has enough static load support stiffness, and that its static deformation and amplitude are within the limit allowed under various working conditions, avoiding premature fatigue damage. The vibration isolation capability of the optimized system has been significantly improved, and the centroid acceleration has been significantly reduced under start–stop and road excitation conditions. The optimization method was effectively verified. Compared with existing studies focusing on single-objective optimization, the proposed NSGA II-based approach achieves a 93.4% decoupling rate in the critical Rx direction (vs. 59% pre-optimization) and reduces dynamic reaction forces by 8.3% (from 193 N to 177 N), demonstrating superior engineering applicability compared with traditional methods. Finally, the robustness analysis of the optimized stiffness met the requirements of production and manufacturing, indicating that the improvement of the decoupling rate of the suspension system and the optimization of the dynamic reaction force can effectively improve the vibration isolation performance, thereby improving the ride comfort of the vehicle. Full article
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<p>Dynamics model of powertrain mounting system.</p>
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<p>NSGAII optimization algorithm flow.</p>
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<p>Pareto solution set.</p>
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<p>Optimized front and rear powertrain centroid translational acceleration under start–stop excitation.</p>
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<p>Optimized front and rear powertrain centroid rotation acceleration under start–stop excitation.</p>
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17 pages, 1710 KiB  
Article
Research on Emergency Rescue Scheme Based on Multi-Objective Material Dispatching of Heavy-Haul Railway
by Xiaolei Zhang, Kaigong Zhao, Xingkai Zhang, Shang Gao and Ting Meng
Sustainability 2025, 17(5), 2009; https://doi.org/10.3390/su17052009 - 26 Feb 2025
Viewed by 204
Abstract
It is particularly important to improve the emergency rescue response ability of heavy-haul railways to ensure the safety of personnel and the efficiency of material transportation. The current research has achieved some results for multi-objective material dispatching, but it does not consider the [...] Read more.
It is particularly important to improve the emergency rescue response ability of heavy-haul railways to ensure the safety of personnel and the efficiency of material transportation. The current research has achieved some results for multi-objective material dispatching, but it does not consider the impact of accident response level and material type on material dispatching scheme. In this study, a heavy-haul railway in China was selected as the research object. By designing a dual-objective material scheduling model, an optimal material scheduling scheme was obtained, and the optimal solution was solved by a non-dominated sorting genetic algorithm (NSGA-II). Under the condition of keeping the station unchanged and ensuring that the total amount of materials remained unchanged, an optimization scheme of relief material reserves that match the risk characteristics of the line is proposed. The results show that, based on the utility theory, the minimum distance of the improved dual-objective material dispatching is reduced by 34.8% (single accident point) and 62.99% (multiple accident points), and the total distance of material dispatching is reduced by 37.92% and 70.57%, respectively, indicating that the optimized reserve scheme can effectively shorten the response time and improve the rescue efficiency. The material reserve optimization scheme for emergency rescue stations proposed in this study has important reference value for improving the emergency rescue efficiency of heavy-haul railways. Full article
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<p>Schematic diagram of the heavy-haul railway.</p>
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<p>The number and distance of rescue sites involved in the rescue.</p>
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<p>Comparison of the two distances before and after optimization.</p>
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<p>The number and distance of rescue sites involved in the rescue.</p>
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<p>Comparison of the two distances before and after optimization.</p>
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13 pages, 11388 KiB  
Article
Solar Spectrum Simulation Algorithms Considering AM0G and AM1.5G
by Junjie Yang, Guoyu Zhang, Bin Zhao, Dongpeng Yang, Ke Zhang, Yu Zhang, Jian Zhang, Zhengwei Ren, Jingrui Sun, Lu Wang, Xiaoxu Mo, Taiyang Ren, Dianwu Ren, Zeng Peng, Songzhou Yang and Jiabo Lv
Sensors 2025, 25(5), 1406; https://doi.org/10.3390/s25051406 - 25 Feb 2025
Viewed by 135
Abstract
LED solar simulators currently face limitations in their spectral simulation capabilities, especially in terms of accurately incorporating AM0G and AM1.5G solar spectra. To this end, this study introduced a framework for an LED solar spectrum simulation algorithm that considers both AM0G and AM1.5G. [...] Read more.
LED solar simulators currently face limitations in their spectral simulation capabilities, especially in terms of accurately incorporating AM0G and AM1.5G solar spectra. To this end, this study introduced a framework for an LED solar spectrum simulation algorithm that considers both AM0G and AM1.5G. This study examined the principle of solar spectrum discretization and reconstruction, established a foundation for analyzing the quality of solar spectrum reconstruction, and developed a non-dominated sorting genetic algorithm II (NSGA-II)-assisted long short-term memory (LSTM)-based solar spectrum simulation strategy. This strategy integrates a multi-objective genetic algorithm to generate training datasets and a neural network for solar spectrum simulation. A dataset generation method using the NSGA-II algorithm was implemented, which leveraged the 6500 K standard blackbody spectral curve, the spectral curve offset coefficients, and the spectral distributions of various narrowband LEDs. An LSTM-based neural network for solar spectrum simulation was developed, with the RMSE serving as the evaluation function. The analysis and selection of 29 narrowband LEDs produced 5000 solar spectrum simulation training datasets. The trained LSTM model achieved spectral matching accuracies within ±10.5% and ±9.3% for AM0G and AM1.5G, respectively, meeting the A+ level simulation standard for solar spectrum reconstruction considering AM0G and AM1.5G. These findings provide a theoretical foundation and technical advancements for high-precision solar spectrum reconstruction, which has practical implications for improving the efficiency and accuracy of solar energy systems, as well as supporting further research on solar spectrum utilization, and is expected to influence the development of more efficient solar simulators. Full article
(This article belongs to the Section Optical Sensors)
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<p>Different colors are used to distinguish between SD and SMSR. SD and SMSR after spectral reconstruction. (<b>a</b>–<b>d</b>) correspond to <math display="inline"><semantics> <mrow> <msub> <mi>ω</mi> <mn>1</mn> </msub> </mrow> </semantics></math> for 10 nm, 20 nm, 30 nm, and 40 nm, respectively, while <math display="inline"><semantics> <mrow> <msub> <mi>ω</mi> <mn>2</mn> </msub> </mrow> </semantics></math> represents the SD range from 10 nm to 40 nm, <math display="inline"><semantics> <mrow> <mstyle displaystyle="true"> <msubsup> <mo>∑</mo> <mrow> <mi>j</mi> <mo>=</mo> <mi>i</mi> </mrow> <mrow> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msubsup> <mrow> <msub> <mi>X</mi> <mrow> <mi>L</mi> <mi>E</mi> <msub> <mi>D</mi> <mi>i</mi> </msub> </mrow> </msub> <mo stretchy="false">(</mo> <mi>λ</mi> <mo stretchy="false">)</mo> </mrow> </mstyle> </mrow> </semantics></math>. (<b>e</b>–<b>h</b>) depict <math display="inline"><semantics> <mrow> <msub> <mi>ω</mi> <mn>1</mn> </msub> </mrow> </semantics></math> for 10 nm, 20 nm, 30 nm, and 40 nm, while <math display="inline"><semantics> <mrow> <msub> <mi>ω</mi> <mn>2</mn> </msub> </mrow> </semantics></math> indicates SMSR range from 10 nm to 40 nm.</p>
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<p>Different colors are used to distinguish between SD and SMSR. SD and SMSR after spectral reconstruction. (<b>a</b>–<b>d</b>) correspond to <math display="inline"><semantics> <mrow> <msub> <mi>ω</mi> <mn>1</mn> </msub> </mrow> </semantics></math> for 10 nm, 20 nm, 30 nm, and 40 nm, respectively, while <math display="inline"><semantics> <mrow> <msub> <mi>ω</mi> <mn>2</mn> </msub> </mrow> </semantics></math> represents the SD range from 10 nm to 40 nm, <math display="inline"><semantics> <mrow> <mstyle displaystyle="true"> <msubsup> <mo>∑</mo> <mrow> <mi>j</mi> <mo>=</mo> <mi>i</mi> </mrow> <mrow> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> </msubsup> <mrow> <msub> <mi>X</mi> <mrow> <mi>L</mi> <mi>E</mi> <msub> <mi>D</mi> <mi>i</mi> </msub> </mrow> </msub> <mo stretchy="false">(</mo> <mi>λ</mi> <mo stretchy="false">)</mo> </mrow> </mstyle> </mrow> </semantics></math>. (<b>e</b>–<b>h</b>) depict <math display="inline"><semantics> <mrow> <msub> <mi>ω</mi> <mn>1</mn> </msub> </mrow> </semantics></math> for 10 nm, 20 nm, 30 nm, and 40 nm, while <math display="inline"><semantics> <mrow> <msub> <mi>ω</mi> <mn>2</mn> </msub> </mrow> </semantics></math> indicates SMSR range from 10 nm to 40 nm.</p>
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<p>Spectral distributions of 6500 K standard blackbody, AM0G, and AM1.5G solar spectra.</p>
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<p>Schematic of structure of LSTM cell as function of applied field.</p>
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<p>Normalized spectral power distributions of 29 selected narrowband LEDs.</p>
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<p>RMSE values as a function of training iterations for simulated AM0G and AM1.5G solar spectra.</p>
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<p>Solar spectrum simulation for varying numbers of AM0G feature iterations.</p>
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<p>Solar spectrum simulation for varying numbers of AM1.5G feature iterations.</p>
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<p>Solar spectral matching performance as a function of feature iterations. (<b>a</b>) AM0G and (<b>b</b>) AM1.5G.</p>
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35 pages, 1155 KiB  
Article
Multi-Objective Scheduling Optimization of Prefabricated Components Production Using Improved Non-Dominated Sorting Generic Algorithm II
by Yishi Zhao, Shaokang Du, Ming Tu, Haichuan Ma, Jianga Shang and Xiuqiao Xiang
Buildings 2025, 15(5), 742; https://doi.org/10.3390/buildings15050742 - 25 Feb 2025
Viewed by 216
Abstract
The traditional construction industry is characterized by high energy consumption and significant carbon emissions, primarily due to its reliance on on-site manual labor and wet operations, which are not only low in mechanization but also result in low material efficiency and substantial construction [...] Read more.
The traditional construction industry is characterized by high energy consumption and significant carbon emissions, primarily due to its reliance on on-site manual labor and wet operations, which are not only low in mechanization but also result in low material efficiency and substantial construction waste. Prefabricated construction offers a new solution with its efficient production methods, significantly enhancing material utilization and construction efficiency. This paper focuses on the production scheduling optimization of prefabricated components. The production scheduling directly affects the construction speed and cost of prefabricated buildings. Given the complex modeling and numerous constraints faced by the production of prefabricated components, we propose an improved Non-dominated Sorting Genetic Algorithm II (NSGA-II) for multi-objective optimization. The algorithm incorporates adaptive operators and greedy concepts for local search, enhancing solution exploration and diversity. We segment the production of prefabricated components into six stages, analyzing dependencies and constraints, and form a comprehensive scheduling model with objectives of minimizing contract penalties, storage costs, and production time. Extensive experiments demonstrate that the improved NSGA-II provides a more balanced and larger set of solutions compared to baseline algorithms, offering manufacturers a wider range of options. This research contributes to the optimization of production scheduling in the prefabricated construction industry, supporting coordinated, sustainable, automated, and transparent production environments. Full article
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<p>Definition of production scheduling problem for prefabricated components.</p>
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<p>Production process of prefabricated components.</p>
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<p>Relationship between mold and mold table ratio.</p>
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<p>Mold type and number constraints.</p>
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<p>Constraints synthesized.</p>
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<p>Relationship between optimization objectives.</p>
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<p>The standard NSGA-II flow, referencing Deb’s paper [<a href="#B33-buildings-15-00742" class="html-bibr">33</a>].</p>
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<p>Improved NSGA-II flow.</p>
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<p>The Pareto dominance relationship between improved NSGA-II and standard NSGA-II solutions.</p>
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<p>The Pareto dominance relationship between improved NSGA-II and MOEA/D.</p>
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<p>The impact of mold quantity on optimization objectives.</p>
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<p>The impact of curing kiln capacity on optimization objectives.</p>
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<p>Set covering metric.</p>
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<p>The relationship between convergence iterations and the number of runs.</p>
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<p>The relationship between convergence rate and number of runs.</p>
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34 pages, 8603 KiB  
Article
Multi-Objective Trade-Offs for Construction Projects with Dual Constraints of Schedule Risk and Resources Under a Risk-Driven Perspective
by Jun Zhou, Yanjuan Tang and Yong Tian
Sustainability 2025, 17(5), 1926; https://doi.org/10.3390/su17051926 - 24 Feb 2025
Viewed by 208
Abstract
Project schedules are typically the primary concern for most clients, yet the corresponding schedule risks have not received sufficient attention from project managers during multi-objective trade-offs. Therefore, to select the most valuable schedule plan in a complex risk environment, reveal the objective impact [...] Read more.
Project schedules are typically the primary concern for most clients, yet the corresponding schedule risks have not received sufficient attention from project managers during multi-objective trade-offs. Therefore, to select the most valuable schedule plan in a complex risk environment, reveal the objective impact of schedule risks on multi-objective trade-offs, and reflect the decision-maker’s risk mitigation behaviour, this study aims to develop a Time–Cost–Quality Trade-off (TCQT) model constrained by both schedule risks and resources based on risk-driven principles. Furthermore, sensitivity analysis steps for identifying key risk factors are proposed. The Non-dominated Sorting Genetic Algorithm II (NSGA-II) and Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) methods are introduced to solve the TCQT model and make optimal solution decisions. Case study results demonstrate that the optimal scheduling plan derived from the model improves the total project time, cost, and quality by 11.48%, 4.52%, and 7.05%, respectively, compared to the initial plan formulated by the project team. Additionally, the model identifies the main risk factors affecting the achievement of each objective within the TCQT decision framework, providing crucial insights for decision-makers in formulating effective mitigation strategies. Full article
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<p>A simple risk chain model.</p>
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<p>Illustration of the multi-layer risk–activity mapping network (RAMN).</p>
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<p>Evolutionary structure of multi-dimensional uncertainty risk states.</p>
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<p>Schedule risk inference process based on risk-driven principles.</p>
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<p>Multi-objective optimisation system based on the dual constraints of actual risk environment and resource supply level.</p>
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<p>Cost variation curve with schedule risk level and resource allocation intensity. (<b>a</b>) Direct cost rate—Resource intensity; (<b>b</b>) Risk protection cost—Risk time.</p>
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<p>The complete processing flow of the model in this paper.</p>
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<p>Construction schedule network. (The work contents of A~N activities are as follows: earth excavation, foundation works, earthwork backfilling, main work, roofing, masonry works, ceiling and fire protection works, installation of door and window railings, interior paintwork, floor and ground works, exterior wall decoration, rainwater pipework, outdoor incidental works).</p>
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<p>The schedule risk network present in this project.</p>
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<p>Histogram of risk time distribution and schedule risk curve for Activity B.</p>
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<p>The fitted surface of Activity B’s quality model.</p>
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<p>Distribution of Pareto solution sets for the TCQT problem in this case.</p>
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<p>The relationship curves between the time, cost, and quality in pairs. (<b>a</b>) Total time and cost; (<b>b</b>) Total time and overall quality; (<b>c</b>) Total cost and overall quality.</p>
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<p>The distribution of the top 10 decision solutions under the four methods. (<b>a</b>) TOPSIS method; (<b>b</b>) SPOTIS/PROMTHEE-II method; (<b>c</b>) VIKOR method.</p>
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<p>The sensitivity analysis results of various risk factors in the TCQT problem. (<b>a</b>) Total time and total cost; (<b>b</b>) Overall quality level.</p>
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<p>The independent impact of each risk factor on the single time objective.</p>
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<p>Tornado diagram of schedule sensitivity analysis for Activities B and D (Top 10). (<b>a</b>) Activity B; (<b>b</b>) Activity D.</p>
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<p>Histogram of total project time distribution and schedule risk curve.</p>
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<p>Distribution of the Pareto solution sets for the TCT problem under the application of two models. (<b>a</b>) This paper’s model; (<b>b</b>) The comparative model.</p>
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<p>Pareto solution distribution and running time under different population size and iteration number combinations.</p>
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21 pages, 3116 KiB  
Article
Optimal Allocation and Sizing of BESS in a Distribution Network with High PV Production Using NSGA-II and LP Optimization Methods
by Biljana Trivić and Aleksandar Savić
Energies 2025, 18(5), 1076; https://doi.org/10.3390/en18051076 - 23 Feb 2025
Viewed by 277
Abstract
Battery energy storage systems (BESSs) can play a significant role in overcoming the challenges in Distribution Systems (DSs) with a high level of penetration from renewable energy sources (RESs). In this paper, the goal is to determine the optimal location, size, and charging/discharging [...] Read more.
Battery energy storage systems (BESSs) can play a significant role in overcoming the challenges in Distribution Systems (DSs) with a high level of penetration from renewable energy sources (RESs). In this paper, the goal is to determine the optimal location, size, and charging/discharging dispatches of BESSs in DSs with a high level of photovoltaic (PV) installations. The problem of the location and size of BESSs is solved with multi-criteria optimization using Non-dominated Sorting Genetic Algorithm-II (NSGA-II). The criteria of the multi-criteria optimization are minimal investment costs for BESS and improvement of the network performance index. The network performance index includes the reduction in annual losses of active energy in DSs and the minimization of voltage deviations. The dispatch of a BESS is determined using auxiliary optimization. Linear Programming (LP) is used for auxiliary optimization, with the aim of dispatching the BESS to smooth the load profile in DS. The proposed optimization method differs from previous studies because it takes in its calculations all days of the year. This was performed using the K-means clustering technique. The days of one year are classified by the level of consumption and PV production. The optimization was performed for five different levels of PV penetration (60%, 70%, 80%, 90%, and 100%) and for two scenarios: the first with one BESS and the second with two BESSs. The proposed methodology is applied to the IEEE 33 bus balanced radial distribution system. The results demonstrate that with an optimal choice of location and parameters of the BESS, significant improvement in network performance is achieved. This refers to a reduction in losses of active power, improvement of voltage profile, smoothing the load diagram, and reducing the peak load. For the scenario with one BESS and PV penetration of 100%, the reduction in daily energy losses reaches a value of up to 10% compared to the base case (case without a BESS). The reduction in peak load goes to 20%. Further, the highest voltage during the day is significantly lower in all buses compared to the base case. Similarly, the lowest voltage during the day is considerably higher. The methodology from this paper can be applied to any radial distribution network with a variable number of BESSs. The testing results confirm the effectiveness of the proposed method. Full article
(This article belongs to the Section A2: Solar Energy and Photovoltaic Systems)
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<p>The structure of chromosomes.</p>
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<p>Flowchart of optimization process.</p>
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<p>The scheme of the IEEE 33 bus balanced radial distribution system.</p>
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<p>Nine clusters that represent all days in one year.</p>
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<p>The results of optimization for with 1 BESS.</p>
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<p>The results of optimization for with 2 BESS.</p>
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<p>Final solution and initial population.</p>
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<p>Comparative results for Pareto using NSGA-II and MOPSO optimization technique.</p>
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<p>DS load profile with and without BESSs for selected cases.</p>
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<p>DS network voltage profiles with and without BESS.</p>
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<p>Losses in the distribution network with and without a BESS.</p>
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<p>The power of BESS during the day.</p>
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<p>Energy in BESS during the day.</p>
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<p>Results for scenario with clusters and with average day.</p>
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27 pages, 15528 KiB  
Article
An Improved NSGA-II-Based Method for Cutting Trajectory Planning of Boom-Type Roadheader
by Chao Zhang, Xuhui Zhang, Wenjuan Yang, Jicheng Wan, Guangming Zhang, Yuyang Du, Sihao Tian and Zeyao Wang
Appl. Sci. 2025, 15(4), 2126; https://doi.org/10.3390/app15042126 - 17 Feb 2025
Viewed by 275
Abstract
This paper proposes a cutting trajectory planning method for boom-type roadheaders using an improved Nondominated Sorting Genetic Algorithm II (NSGA-II) with an elitist strategy. Existing methods often overlook constraints related to cutterhead dimensions and target sections, affecting section formation quality. We develop a [...] Read more.
This paper proposes a cutting trajectory planning method for boom-type roadheaders using an improved Nondominated Sorting Genetic Algorithm II (NSGA-II) with an elitist strategy. Existing methods often overlook constraints related to cutterhead dimensions and target sections, affecting section formation quality. We develop a kinematic model for coordinate transformations and design a simplified cutterhead and constraint model to generate feasible cutting points. Bi-objective functions—minimizing cutting trajectory length and turning angle—are formulated as a bi-objective traveling salesman problem (BO-TSP) with adjacency constraints. NSGA-II is adapted with enhancements in adjacency constraint handling, population initialization, and genetic operations. Simulations and experiments demonstrate significant improvements in convergence speed and computation time. Virtual cutting experiments confirm trajectory feasibility under varying postures, achieving high formation quality. A comparison of planned and tracked trajectories shows a maximum deviation of 23.879 mm, supporting autonomous cutting control. This method advances cutting trajectory planning for roadway section formation and autonomous roadheader control. Full article
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<p>Framework of cutting trajectory planning based on improved NSGA-II for boom-type roadheader.</p>
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<p>Kinematic model of roadheader.</p>
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<p>Projection model of cutterhead.</p>
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<p>Schematic diagram of cross-sectional model.</p>
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<p>Design of cutting trajectory space under target cross-section constraints.</p>
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<p>Crowding distance calculation.</p>
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<p>Elite strategy execution steps.</p>
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<p>Flowchart of improved NSGA-II algorithm with adjacency constraints.</p>
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<p>Model of adjacency constraints in joint space.</p>
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<p>Representation of path points on grid and generation of adjacency list and matrix.</p>
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<p>Comparison of initialization with adjacent constraints and random initialization.</p>
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<p>Path sets and their corresponding joint space coordinates.</p>
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<p>Improved NSGA-II trajectory point optimization results. (<b>a</b>) Pareto frontier solution; (<b>b</b>) Convergence of the total distance; (<b>c</b>) Convergence of total Angle.</p>
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<p>Ablation experiment results.</p>
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<p>Comparative analysis of optimization results: improved NSGA-II versus PSO and ACO algorithms.</p>
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<p>Virtual simulation platform for forming.</p>
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<p>Comparison of cutting path planning results for three different poses. (<b>a</b>) Operational space. (<b>b</b>) Cutting path. (<b>c</b>) Joint variables for left section cutting path. (<b>d</b>) Joint variables for right section cutting path.</p>
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<p>Evaluation of trajectory tracking and virtual shaping quality.</p>
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<p>Assessment of sectional shaping quality.</p>
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<p>Comparison of planned and virtual simulation trajectories.</p>
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<p>Verification platform for sectional shaping and cutting path planning.</p>
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<p>Comparison of cutting paths.</p>
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<p>Comparative analysis and error of tracking paths in various directions. (<b>a</b>) Trajectory comparison and deviation in <span class="html-italic">x</span>-axis. (<b>b</b>) Trajectory comparison and deviation in <span class="html-italic">y</span>-axis. (<b>c</b>) Trajectory comparison and deviation in <span class="html-italic">z</span>-axis.</p>
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<p>Comparative analysis and error of tracking paths in various directions. (<b>a</b>) Trajectory comparison and deviation in <span class="html-italic">x</span>-axis. (<b>b</b>) Trajectory comparison and deviation in <span class="html-italic">y</span>-axis. (<b>c</b>) Trajectory comparison and deviation in <span class="html-italic">z</span>-axis.</p>
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