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Search Results (4,190)

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11 pages, 377 KiB  
Article
Confidence Regions for Steady-State Probabilities and Additive Functionals Based on a Single Sample Path of an Ergodic Markov Chain
by Yann Vestring and Javad Tavakoli
Mathematics 2024, 12(23), 3641; https://doi.org/10.3390/math12233641 - 21 Nov 2024
Viewed by 209
Abstract
Discrete, finite-state Markov chains are applied in many different fields. When a system is modeled as a discrete, finite-state Markov chain, the asymptotic properties of the system, such as the steady-state distribution, are often estimated based on a single, empirically observable sample path [...] Read more.
Discrete, finite-state Markov chains are applied in many different fields. When a system is modeled as a discrete, finite-state Markov chain, the asymptotic properties of the system, such as the steady-state distribution, are often estimated based on a single, empirically observable sample path of the system, whereas the actual steady-state distribution is unknown. A question that arises is: how close is the empirically estimated steady-state distribution to the actual steady-state distribution? In this paper, we propose a method to numerically determine asymptotically exact confidence regions for the steady-state probabilities and confidence intervals for additive functionals of an ergodic Markov chain based on a single sample path. Full article
(This article belongs to the Special Issue Markov Chain Models and Applications: Latest Advances and Prospects)
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<p>Confidence regions for <math display="inline"><semantics> <mi>π</mi> </semantics></math> obtained from sequence matrix <math display="inline"><semantics> <msub> <mi>M</mi> <mi>n</mi> </msub> </semantics></math> at confidence level <math display="inline"><semantics> <mrow> <mn>1</mn> <mo>−</mo> <mi>α</mi> <mo>=</mo> <mn>0.9</mn> </mrow> </semantics></math> for 3 different values of <span class="html-italic">n</span>.</p>
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<p>Convergence of <math display="inline"><semantics> <mrow> <mi>N</mi> <msup> <mover accent="true"> <mi>σ</mi> <mo stretchy="false">^</mo> </mover> <mn>2</mn> </msup> </mrow> </semantics></math> as <span class="html-italic">N</span> increases for 25 different randomly generated sample paths.</p>
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20 pages, 1628 KiB  
Review
Energy Efficiency for 5G and Beyond 5G: Potential, Limitations, and Future Directions
by Adrian Ichimescu, Nirvana Popescu, Eduard C. Popovici and Antonela Toma
Sensors 2024, 24(22), 7402; https://doi.org/10.3390/s24227402 - 20 Nov 2024
Viewed by 263
Abstract
Energy efficiency constitutes a pivotal performance indicator for 5G New Radio (NR) networks and beyond, and achieving optimal efficiency necessitates the meticulous consideration of trade-offs against other performance parameters, including latency, throughput, connection densities, and reliability. Energy efficiency assumes it is of paramount [...] Read more.
Energy efficiency constitutes a pivotal performance indicator for 5G New Radio (NR) networks and beyond, and achieving optimal efficiency necessitates the meticulous consideration of trade-offs against other performance parameters, including latency, throughput, connection densities, and reliability. Energy efficiency assumes it is of paramount importance for both User Equipment (UE) to achieve battery prologue and base stations to achieve savings in power and operation cost. This paper presents an exhaustive review of power-saving research conducted for 5G and beyond 5G networks in recent years, elucidating the advantages, disadvantages, and key characteristics of each technique. Reinforcement learning, heuristic algorithms, genetic algorithms, Markov Decision Processes, and the hybridization of various standard algorithms inherent to 5G and 5G NR represent a subset of the available solutions that shall undergo scrutiny. In the final chapters, this work identifies key limitations, namely, computational expense, deployment complexity, and scalability constraints, and proposes a future research direction by theoretically exploring online learning, the clustering of the network base station, and hard HO to lower the consumption of networks like 2G or 4G. In lowering carbon emissions and lowering OPEX, these three additional features could help mobile network operators achieve their targets. Full article
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<p>5G network.</p>
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<p>System model of the considered STIN.</p>
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<p>System model of ITAN with multi-layer RIS.</p>
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<p>Proposed theoretical solution.</p>
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14 pages, 2302 KiB  
Article
Predictive Model of Pedestrian Crashes Using Markov Chains in the City of Badajoz
by Alejandro Moreno-Sanfélix, F. Consuelo Gragera-Peña and Miguel A. Jaramillo-Morán
Sustainability 2024, 16(22), 10115; https://doi.org/10.3390/su162210115 - 20 Nov 2024
Viewed by 262
Abstract
Driving a vehicle, whether motorized or not, is a risky activity that can lead to a traffic accident and directly or indirectly affect all road users. In particular, road crashes involving pedestrians have caused the highest number of deaths and serious injuries in [...] Read more.
Driving a vehicle, whether motorized or not, is a risky activity that can lead to a traffic accident and directly or indirectly affect all road users. In particular, road crashes involving pedestrians have caused the highest number of deaths and serious injuries in recent years. In order to prevent and reduce the occurrence of these types of traffic accidents and to optimize the use of the available resources of the administrations in charge of road safety, an updatable predictive model using Markov chains is proposed in this work. Markov chains are used in fields as diverse as hospital management or electronic engineering, but their application in the field of road safety is considered innovative. They are prediction and decision techniques that allow the estimation of the state of a given system by simulating its stochastic risk level. To carry out this study, the available information on traffic accidents involving pedestrians in the database of the Local Police of Badajoz (a medium-sized city in the southwest of Spain) in the period 2016 to 2023 were analyzed. These data were used to train a predictive model that was subsequently used to estimate the probability of occurrence of a traffic crash involving pedestrians in different areas of this city, information that could be used by the authorities to focus their efforts in those areas with the highest probability of a road crash occurring. This model can improve the identification of high-risk locations, and urban planners can optimize decision making in designing appropriate preventive measures and increase efficiency to reduce pedestrian crashes. Full article
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<p>Sectors of the city of Badajoz for the Local Police. Source: Muñoz Garrido R., 2021 [<a href="#B24-sustainability-16-10115" class="html-bibr">24</a>].</p>
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<p>Results obtained of the predictive model for each sector in the city of Badajoz.</p>
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<p>Results obtained from the analysis of the Markov model for each sector in the city of Badajoz in percent (%).</p>
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<p>Victims in pedestrian crashes in each sector of the city of Badajoz in the first six months of 2024 (January–June).</p>
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<p>Victims in pedestrian crashes in each sector of the city of Badajoz in July, August and September, after preventive measures were applied in Sector 2.</p>
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13 pages, 337 KiB  
Article
A Spatial–Temporal Bayesian Model for a Case-Crossover Design with Application to Extreme Heat and Claims Data
by Menglu Liang, Zheng Li, Lijun Zhang and Ming Wang
Stats 2024, 7(4), 1379-1391; https://doi.org/10.3390/stats7040080 - 19 Nov 2024
Viewed by 222
Abstract
Epidemiological approaches for examining human health responses to environmental exposures in observational studies frequently address confounding by employing advanced matching techniques and statistical methods grounded in conditional likelihood. This study incorporates a recently developed Bayesian hierarchical spatiotemporal model within a conditional logistic regression [...] Read more.
Epidemiological approaches for examining human health responses to environmental exposures in observational studies frequently address confounding by employing advanced matching techniques and statistical methods grounded in conditional likelihood. This study incorporates a recently developed Bayesian hierarchical spatiotemporal model within a conditional logistic regression framework to capture the heterogeneous effects of environmental exposures in a case-crossover (CCO) design. Spatial and temporal dependencies are modeled through random effects incorporating multivariate conditional autoregressive priors. Flexible frailty structures are introduced to explore strategies for managing temporal variables. Parameter estimation and inference are conducted using a Monte Carlo Markov chain method within a Bayesian framework. Model fit and optimal model selection are evaluated using the deviance information criterion. Simulations assess and compare model performance across various scenarios. Finally, the approach is illustrated with workers’ compensation claims data from New York and Florida to examine spatiotemporal heterogeneity in hospitalization rates related to heat prostration. Full article
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<p>Case-crossover (CCO) design in our study.</p>
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29 pages, 27816 KiB  
Article
Trajectory Aware Deep Reinforcement Learning Navigation Using Multichannel Cost Maps
by Tareq A. Fahmy, Omar M. Shehata and Shady A. Maged
Robotics 2024, 13(11), 166; https://doi.org/10.3390/robotics13110166 - 17 Nov 2024
Viewed by 341
Abstract
Deep reinforcement learning (DRL)-based navigation in an environment with dynamic obstacles is a challenging task due to the partially observable nature of the problem. While DRL algorithms are built around the Markov property (assumption that all the necessary information for making a decision [...] Read more.
Deep reinforcement learning (DRL)-based navigation in an environment with dynamic obstacles is a challenging task due to the partially observable nature of the problem. While DRL algorithms are built around the Markov property (assumption that all the necessary information for making a decision is contained in a single observation of the current state) for structuring the learning process; the partially observable Markov property in the DRL navigation problem is significantly amplified when dealing with dynamic obstacles. A single observation or measurement of the environment is often insufficient for capturing the dynamic behavior of obstacles, thereby hindering the agent’s decision-making. This study addresses this challenge by using an environment-specific heuristic approach to augment the dynamic obstacles’ temporal information in observation to guide the agent’s decision-making. We proposed Multichannel Cost Map Observation for Spatial and Temporal Information (M-COST) to mitigate these limitations. Our results show that the M-COST approach more than doubles the convergence rate in concentrated tunnel situations, where successful navigation is only possible if the agent learns to avoid dynamic obstacles. Additionally, navigation efficiency improved by 35% in tunnel scenarios and by 12% in dense-environment navigation compared to standard methods that rely on raw sensor data or frame stacking. Full article
(This article belongs to the Section AI in Robotics)
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<p>M-COST observation approach. This Diagram illustrates the overall architecture of the proposed technique, detailing each module and the sequential process flow.</p>
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<p>This is an example view from the simulated dynamic environment, where the blue lines represent the rays of the robot’s 2D LIDAR. The white obstacles represent the dynamic obstacles, and the grey obstacles represent the static obstacles, which are randomized in each episode.</p>
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<p>Example of the obstacle cost map with inflation corresponding to the view shown in <a href="#robotics-13-00166-f001" class="html-fig">Figure 1</a>. The blue cells represent cost, the magenta regions represent the highest cost, and the green polygon represents the robot. The coordinates on top of the obstacles represent the tracked dynamic obstacles. Both the robot’s green polygon and the coordinates of the dynamic obstacles are for demonstration purposes only and are not included in the agent’s observations.</p>
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<p>(<b>a</b>) Obstacle trajectory cost map channel, where the robot is marked as a green polygon. The predicted dynamic obstacle trajectories are shown, where the magenta area represents a higher probability distribution of the dynamic obstacles’ future positions in the next time steps, and the blue represents a lower probability for the positions that the dynamic obstacles might take in the near future. (<b>b</b>) A 3D representation of Figure (<b>a</b>) where the <span class="html-italic">z</span>-axis represents the probability of the dynamic obstacles’ position in the next time steps (lighter colors represent higher probabilities).</p>
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<p>Gazebo tunnel simulation environment: Boxes represent obstacles that can be static or dynamic, moving at varying speeds from one side to the other. The humanoids are dynamic actors that also move at varying speeds from one side to the other.</p>
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<p>(<b>a</b>) Gazebo simulation for point-to-point navigation: white obstacles are dynamic, grey obstacles represent static randomized obstacles, and blue rays represent the LIDAR rays. (<b>b</b>) The complex environment with 12 dynamic actors.</p>
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<p>SAC learning process.</p>
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<p>Fully connected neural network architecture of the policy.</p>
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<p>Policy architecture uses CNN as a feature extractor for the cost map and FNN for the extracted features and other scalar data.</p>
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<p>(<b>a</b>) Obstacle cost map as observation, (<b>b</b>) Stacked previous cost maps, and (<b>c</b>) M-COST observation of two channels: obstacles cost map channel and predicted trajectory of the dynamic obstacles in the temporal channel.</p>
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<p>Training reward vs. training steps in the tunnel scenario. Solid lines represent mean training reward, while shaded areas indicate variation or distribution of scores over different steps.</p>
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<p>Evaluation scores vs. training steps in the tunnel scenario. Solid lines represent mean evaluation scores, while shaded areas indicate variation or distribution of scores over different steps.</p>
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<p>Navigation performance metrics for the tunnel environment.</p>
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<p>Training reward vs. training steps in the point-to-point simple scenario. Solid lines represent mean training reward, while shaded areas indicate score distributions over different steps.</p>
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<p>Evaluation scores vs. training steps in the point-to-point simple scenario. Solid lines represent mean evaluation scores, while shaded areas indicate score distributions over different steps.</p>
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<p>Training reward vs. training steps in the point-to-point complex scenario. Solid lines represent mean training reward, while shaded areas indicate score distributions over different steps.</p>
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<p>Evaluation scores vs. training steps in the point-to-point complex scenario. Solid lines represent mean evaluation scores, while shaded areas indicate score distributions over different steps.</p>
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<p>Navigation performance metrics for the point-to-point navigation test with 12 dynamic actors and complex structure environment.</p>
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20 pages, 3039 KiB  
Article
Bayesian and Non-Bayesian Inference to Bivariate Alpha Power Burr-XII Distribution with Engineering Application
by Dina A. Ramadan, Mustafa M. Hasaballah, Nada K. Abd-Elwaha, Arwa M. Alshangiti, Mahmoud I. Kamel, Oluwafemi Samson Balogun and Mahmoud M. El-Awady
Axioms 2024, 13(11), 796; https://doi.org/10.3390/axioms13110796 - 17 Nov 2024
Viewed by 301
Abstract
In this research, we present a new distribution, which is the bivariate alpha power Burr-XII distribution, based on the alpha power Burr-XII distribution. We thoroughly examine the key features of our newly developed bivariate model. We introduce a new class of bivariate models, [...] Read more.
In this research, we present a new distribution, which is the bivariate alpha power Burr-XII distribution, based on the alpha power Burr-XII distribution. We thoroughly examine the key features of our newly developed bivariate model. We introduce a new class of bivariate models, which are built with the copula function. The statistical properties of the proposed distribution, such as conditional distributions, conditional expectations, marginal distributions, moment-generating functions, and product moments were studied. This was accomplished with two datasets of real data that came from two distinct devices. We employed Bayesian, maximum likelihood estimation, and least squares estimation strategies to obtain estimated points and intervals. Additionally, we generated bootstrap confidence intervals and conducted numerical analyses using the Markov chain Monte Carlo method. Lastly, we compared this novel bivariate distribution’s performance to earlier bivariate models, to determine how well it fit the real data. Full article
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<p>Surface and contour plot of joint density of <span class="html-italic">BAPB-XII</span> distribution.</p>
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<p>Estimated pdfs, survival curves, and <math display="inline"><semantics> <mrow> <mi>p</mi> <mi>p</mi> </mrow> </semantics></math> plot for the marginal distributions of <math display="inline"><semantics> <mrow> <mi>X</mi> <mo>.</mo> </mrow> </semantics></math></p>
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<p>Estimated pdfs, survival curves, and <math display="inline"><semantics> <mrow> <mi>p</mi> <mi>p</mi> </mrow> </semantics></math> plot for the marginal distributions of <math display="inline"><semantics> <mrow> <mi>Y</mi> <mo>.</mo> </mrow> </semantics></math></p>
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<p>Posterior densities for parameters obtained from MCMC chain.</p>
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<p>Trace plots for parameters obtained from MCMC chain.</p>
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<p>First 100 lags of autocorrelation values obtained from MCMC algorithm.</p>
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23 pages, 463 KiB  
Article
Semantic Categories: Uncertainty and Similarity
by Ares Fabregat-Hernández, Javier Palanca and Vicent Botti
Math. Comput. Appl. 2024, 29(6), 106; https://doi.org/10.3390/mca29060106 - 16 Nov 2024
Viewed by 248
Abstract
This paper addresses understanding and categorizing language by using Markov categories to establish a mathematical framework for semantic concepts. This framework enables us to measure the semantic similarity between linguistic expressions within a given text. Furthermore, this approach enables the measurement and control [...] Read more.
This paper addresses understanding and categorizing language by using Markov categories to establish a mathematical framework for semantic concepts. This framework enables us to measure the semantic similarity between linguistic expressions within a given text. Furthermore, this approach enables the measurement and control of uncertainty in language categorization and the creation of metrics for evaluating semantic similarity. We provide use cases to demonstrate how the proposed methods can be applied and computed, focusing on their interpretability and the universality of categorical constructions. This work contributes to the field by offering a novel perspective on semantic similarity and uncertainty metrics in language processing, generating criteria to automate their computation. Full article
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<p>Cone representing <math display="inline"><semantics> <msub> <mi mathvariant="script">L</mi> <mi>T</mi> </msub> </semantics></math>.</p>
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<p>Representation of <math display="inline"><semantics> <msub> <mi mathvariant="script">P</mi> <mi>T</mi> </msub> </semantics></math>.</p>
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<p>Depiction of <math display="inline"><semantics> <msub> <mi>F</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> </semantics></math>.</p>
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20 pages, 9833 KiB  
Article
Reconstruction of Hourly Gap-Free Sea Surface Skin Temperature from Multi-Sensors
by Qianguang Tu, Zengzhou Hao, Dong Liu, Bangyi Tao, Liangliang Shi and Yunwei Yan
Remote Sens. 2024, 16(22), 4268; https://doi.org/10.3390/rs16224268 - 15 Nov 2024
Viewed by 303
Abstract
The sea surface skin temperature (SSTskin) is of critical importance with regard to air–sea interactions and marine carbon circulation. At present, no single remote sensor is capable of providing a gap-free SSTskin. The use of data fusion techniques is [...] Read more.
The sea surface skin temperature (SSTskin) is of critical importance with regard to air–sea interactions and marine carbon circulation. At present, no single remote sensor is capable of providing a gap-free SSTskin. The use of data fusion techniques is therefore essential for the purpose of filling these gaps. The extant fusion methodologies frequently fail to account for the influence of depth disparities and the diurnal variability of sea surface temperatures (SSTs) retrieved from multi-sensors. We have developed a novel approach that integrates depth and diurnal corrections and employs advanced data fusion techniques to generate hourly gap-free SST datasets. The General Ocean Turbulence Model (GOTM) is employed to model the diurnal variability of the SST profile, incorporating depth and diurnal corrections. Subsequently, the corrected SSTs at the same observed time and depth are blended using the Markov method and the remaining data gaps are filled with optimal interpolation. The overall precision of the hourly gap-free SSTskin generated demonstrates a mean bias of −0.14 °C and a root mean square error of 0.57 °C, which is comparable to the precision of satellite observations. The hourly gap-free SSTskin is vital for improving our comprehension of air–sea interactions and monitoring critical oceanographic processes with high-frequency variability. Full article
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Graphical abstract
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<p>The overall flowchart of multi-sensors fusion for SST<sub>skin</sub>.</p>
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<p>The DV of SST<sub>skin</sub> modeled by GOTM on 8 May 2007.</p>
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<p>Histogram of the difference between MTSAT-observed DV and GOTM DV on 8 May 2007.</p>
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<p>GOTM of the SST at 2 p.m. on 8 May 2007. (<b>a</b>) The SST profile at 122°E and 35.25°N; (<b>b</b>) the difference in the spatial distributions between SST<sub>skin</sub> and SST<sub>subskin</sub>.</p>
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<p>(<b>a</b>) The original hourly MTSAT SST on 8 May 2007. (<b>b</b>) The diurnal variation-corrected (normalized) hourly MTSAT SST on 8 May 2007.</p>
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<p>(<b>a</b>) The original hourly MTSAT SST on 8 May 2007. (<b>b</b>) The diurnal variation-corrected (normalized) hourly MTSAT SST on 8 May 2007.</p>
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<p>(<b>a</b>) Number of sensors available on 8 May 2007; (<b>b</b>) the fusion SST at 10:30 a.m. using Markov estimation.</p>
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<p>Covariance structure function of the East China Sea estimated from MTSAT in 2007. The spatial covariance functions at (<b>a</b>) zonal and (<b>b</b>) meridional directions for the SST variations. Temporal correlation with time lags computed using hourly SST (<b>c</b>). Red line is the fitting function. Vertical bars represent ±1 standard deviation.</p>
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<p>The hourly gap-free SST<sub>skin</sub> on 8 May 2007.</p>
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<p>The diurnal variation of SST<sub>skin</sub> at 124°E and 28°N on 8 May 2007.</p>
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<p>(<b>a</b>) Scatter plot between in situ SST<sub>skin</sub> and fusion SST<sub>skin</sub>. (<b>b</b>) The hourly mean bias and standard deviation during 2007.</p>
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23 pages, 5062 KiB  
Article
Audio-Based Engine Fault Diagnosis with Wavelet, Markov Blanket, ROCKET, and Optimized Machine Learning Classifiers
by Bernardo Luis Tuleski, Cristina Keiko Yamaguchi, Stefano Frizzo Stefenon, Leandro dos Santos Coelho and Viviana Cocco Mariani
Sensors 2024, 24(22), 7316; https://doi.org/10.3390/s24227316 - 15 Nov 2024
Viewed by 373
Abstract
Engine fault diagnosis is a critical task in automotive aftermarket management. Developing appropriate fault-labeled datasets can be challenging due to nonlinearity variations and divergence in feature distribution among different engine kinds or operating scenarios. To solve this task, this study experimentally measures audio [...] Read more.
Engine fault diagnosis is a critical task in automotive aftermarket management. Developing appropriate fault-labeled datasets can be challenging due to nonlinearity variations and divergence in feature distribution among different engine kinds or operating scenarios. To solve this task, this study experimentally measures audio emission signals from compression ignition engines in different vehicles, simulating injector failures, intake hose failures, and absence of failures. Based on these faults, a hybrid approach is applied to classify different conditions that help the planning and decision-making of the automobile industry. The proposed hybrid approach combines the wavelet packet transform (WPT), Markov blanket feature selection, random convolutional kernel transform (ROCKET), tree-structured Parzen estimator (TPE) for hyperparameters tuning, and ten machine learning (ML) classifiers, such as ridge regression, quadratic discriminant analysis (QDA), naive Bayes, k-nearest neighbors (k-NN), support vector machine (SVM), multilayer perceptron (MLP), random forest (RF), extra trees (ET), gradient boosting machine (GBM), and LightGBM. The audio data are broken down into sub-time series with various frequencies and resolutions using the WPT. These data are subsequently utilized as input for obtaining an informative feature subset using a Markov blanket-based selection method. This feature subset is then fed into the ROCKET method, which is paired with ML classifiers, and tuned using Optuna using the TPE approach. The generalization performance applying the proposed hybrid approach outperforms other standard ML classifiers. Full article
(This article belongs to the Section Fault Diagnosis & Sensors)
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<p>Example of simulated failures in the vehicles: (<b>a</b>) connected injector, (<b>b</b>) injector disconnected, (<b>c</b>) intake hose connected, and (<b>d</b>) intake hose disconnected.</p>
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<p>Audio data collection position of the vehicles.</p>
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<p>Original audio signal: (<b>A</b>) normal condition; (<b>B</b>) injector off; (<b>C</b>) air intake hose off.</p>
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<p>Flowchart of the proposed classification approach.</p>
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<p>ROCKET architecture.</p>
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20 pages, 2952 KiB  
Article
Deep Q-Network-Enhanced Self-Tuning Control of Particle Swarm Optimization
by Oussama Aoun
Modelling 2024, 5(4), 1709-1728; https://doi.org/10.3390/modelling5040089 - 15 Nov 2024
Viewed by 297
Abstract
Particle Swarm Optimization (PSO) is a widespread evolutionary technique that has successfully solved diverse optimization problems across various application fields. However, when dealing with more complex optimization problems, PSO can suffer from premature convergence and may become stuck in local optima. The primary [...] Read more.
Particle Swarm Optimization (PSO) is a widespread evolutionary technique that has successfully solved diverse optimization problems across various application fields. However, when dealing with more complex optimization problems, PSO can suffer from premature convergence and may become stuck in local optima. The primary goal is accelerating convergence and preventing solutions from falling into these local optima. This paper introduces a new approach to address these shortcomings and improve overall performance: utilizing a reinforcement deep learning method to carry out online adjustments of parameters in a homogeneous Particle Swarm Optimization, where all particles exhibit identical search behaviors inspired by models of social influence among uniform individuals. The present method utilizes an online parameter control to analyze and adjust each primary PSO parameter, particularly the acceleration factors and the inertia weight. Initially, a partially observed Markov decision process model at the PSO level is used to model the online parameter adaptation. Subsequently, a Hidden Markov Model classification, combined with a Deep Q-Network, is implemented to create a novel Particle Swarm Optimization named DPQ-PSO, and its parameters are adjusted according to deep reinforcement learning. Experiments on different benchmark unimodal and multimodal functions demonstrate superior results over most state-of-the-art methods regarding solution accuracy and convergence speed. Full article
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<p>Improvement methods to enhance PSO.</p>
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<p>Diagram of PSO iterations.</p>
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<p>Markov chain on PSO states.</p>
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<p>Comparison of execution time in seconds across different PSO variants. Grey dots represent individual execution times, blue boxes show the interquartile range, and red lines indicate mean execution times.</p>
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<p>Comparison of convergence speed on benchmark functions for (<b>a</b>) Elliptic; (<b>b</b>) Step; (<b>c</b>) Sphere; (<b>d</b>) Tablet; (<b>e</b>) Quadric; (<b>f</b>) Rastrigrin; (<b>g</b>) Ackley; (<b>h</b>) Griewang; (<b>i</b>) Schewefel; and (<b>j</b>) Drop wave.</p>
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<p>Comparison of convergence speed on benchmark functions for (<b>a</b>) Elliptic; (<b>b</b>) Step; (<b>c</b>) Sphere; (<b>d</b>) Tablet; (<b>e</b>) Quadric; (<b>f</b>) Rastrigrin; (<b>g</b>) Ackley; (<b>h</b>) Griewang; (<b>i</b>) Schewefel; and (<b>j</b>) Drop wave.</p>
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<p>Comparison of convergence speed on benchmark functions for (<b>a</b>) Elliptic; (<b>b</b>) Step; (<b>c</b>) Sphere; (<b>d</b>) Tablet; (<b>e</b>) Quadric; (<b>f</b>) Rastrigrin; (<b>g</b>) Ackley; (<b>h</b>) Griewang; (<b>i</b>) Schewefel; and (<b>j</b>) Drop wave.</p>
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19 pages, 4383 KiB  
Article
Classification of Ship Type from Combination of HMM–DNN–CNN Models Based on Ship Trajectory Features
by Dae-Woon Shin and Chan-Su Yang
Remote Sens. 2024, 16(22), 4245; https://doi.org/10.3390/rs16224245 - 14 Nov 2024
Viewed by 283
Abstract
This study proposes an enhanced ship-type classification model that employs a sequential processing methodology integrating hidden Markov model (HMM), deep neural network (DNN), and convolutional neural network (CNN) techniques. Four different ship types—fishing boat, passenger, container, and other ship—were classified using multiple ship [...] Read more.
This study proposes an enhanced ship-type classification model that employs a sequential processing methodology integrating hidden Markov model (HMM), deep neural network (DNN), and convolutional neural network (CNN) techniques. Four different ship types—fishing boat, passenger, container, and other ship—were classified using multiple ship trajectory features extracted from the automatic identification system (AIS) and small fishing vessel tracking system. For model optimization, both ship datasets were transformed into various formats corresponding to multiple models, incorporating data enhancement and augmentation approaches. Speed over ground, course over ground, rate of turn, rate of turn in speed, berth distance, latitude/longitude, and heading were used as input parameters. The HMM–DNN–CNN combination was obtained as the optimal model (average F-1 score: 97.54%), achieving individual classification performances of 99.03%, 97.46%, and 95.83% for fishing boats, passenger ships, and container ships, respectively. The proposed approach outperformed previous approaches in prediction accuracy, with further improvements anticipated when implemented on a large-scale real-time data collection system. Full article
(This article belongs to the Special Issue Artificial Intelligence and Big Data for Oceanography)
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<p>Study area (red box) and trajectories of ships from 6 to 10 February 2021. The red dot indicates the location of the Korea Institute of Ocean Science and Technology, operating a monitoring station for merchant and fishing vessels. Blue and green lines depict the ship trajectories obtained from the AIS and V-Pass, respectively. Here, AIS = automatic identification system, and V-Pass = small fishing vessel tracking system.</p>
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<p>Trajectories of different ship types from the training dataset shown in <a href="#remotesensing-16-04245-t001" class="html-table">Table 1</a>. (<b>a</b>) Fishing boat, (<b>b</b>) passenger ship, (<b>c</b>) container ship, and (<b>d</b>) other ship.</p>
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<p>Overall workflow for ship type classification through combining of multiple models. Here, SOG = speed over ground, ROT = rate of turn, ROTS = rate of turn in speed, and COG = course over ground.</p>
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<p>Structure of hierarchical HMM model for classifying fishing boat. (<b>a</b>) The position-based probability of fishing activity was derived from two observational parameters, SOG and ROT, at each time step. (<b>b</b>) Fishing/non-fishing state estimated by the stochastic method based on SOG (<b>top</b>) and ROT (<b>bottom</b>).</p>
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<p>Flowchart for estimating the probability of the DNN model input values through filtering for passenger ship classification.</p>
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<p>Flowchart for estimating the probability of the CNN model input values by thresholding and filtering for container ship classification. Here, CP = container pier, PM = pier masking, and NCP = non-container pier.</p>
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<p>Case application of the HMM model and fishing boat trajectory feature analysis from the training dataset. (<b>a</b>) Labeling of classified trajectory into fishing (red circle) and non-fishing (blue circle). (<b>b</b>) Comparison of SOG and ROT distributions between fishing and non-fishing states.</p>
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<p>Analysis of passenger ship trajectory features from the training dataset. (<b>a</b>) Example of a passenger ship trajectory on 10 February 2021. (<b>b</b>) Comparative analysis between passenger and other ship types based on the probability of parameters: berth distance, ROTS, and heading.</p>
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<p>Pier masking area to classify container ships from the training dataset. Red and blue polygons display CP and NCP, respectively (left figure). A sample container ship berthed at CP on 10 February 2021 (green circle), intersecting the CP polygon and container ship trajectory points (right figure). Here, CP = container pier, and NCP = non-container pier.</p>
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<p>Analysis of container ship trajectory features from the training dataset. (<b>a</b>) Container ship density map in log scale and main navigating direction (black arrows). (<b>b</b>) Comparative analysis between container ships and other ship types using the three RGB inputs, composed of ship trajectories (b-1,b-2), SOG (b-3,b-4), and COG (b-5,b-6), respectively.</p>
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<p>Comparison of ground truth and model classification results for fishing boat (blue circle), passenger ship (green circle), and container ship (red circle).</p>
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<p>Confusion matrices of HMM, DNN, and CNN models applied to the test dataset. (<b>a</b>) Fishing boats and other ships. (<b>b</b>) Passenger ships and other ships. (<b>c</b>) Container ships and other ships.</p>
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20 pages, 4970 KiB  
Article
Revealing the Next Word and Character in Arabic: An Effective Blend of Long Short-Term Memory Networks and ARABERT
by Fawaz S. Al-Anzi and S. T. Bibin Shalini
Appl. Sci. 2024, 14(22), 10498; https://doi.org/10.3390/app142210498 - 14 Nov 2024
Viewed by 376
Abstract
Arabic raw audio datasets were initially gathered to produce a corresponding signal spectrum, which was further used to extract the Mel-Frequency Cepstral Coefficients (MFCCs). The pronunciation dictionary, language model, and acoustic model were further derived from the MFCCs’ features. These output data were [...] Read more.
Arabic raw audio datasets were initially gathered to produce a corresponding signal spectrum, which was further used to extract the Mel-Frequency Cepstral Coefficients (MFCCs). The pronunciation dictionary, language model, and acoustic model were further derived from the MFCCs’ features. These output data were processed into Baidu’s Deep Speech model (ASR system) to attain the text corpus. Baidu’s Deep Speech model was implemented to precisely identify the global optimal value rapidly while preserving a low word and character discrepancy rate by attaining an excellent performance in isolated and end-to-end speech recognition. The desired outcome in this work is to forecast the next word and character in a sequential and systematic order that applies under natural language processing (NLP). This work combines the trained Arabic language model ARABERT with the potential of Long Short-Term Memory (LSTM) networks to predict the next word and character in an Arabic text. We used the pre-trained ARABERT embedding to improve the model’s capacity and, to capture semantic relationships within the language, we educated LSTM + CNN and Markov models on Arabic text data to assess the efficacy of this model. Python libraries such as TensorFlow, Pickle, Keras, and NumPy were used to effectively design our development model. We extensively assessed the model’s performance using new Arabic text, focusing on evaluation metrics like accuracy, word error rate, character error rate, BLEU score, and perplexity. The results show how well the combined LSTM + ARABERT and Markov models have outperformed the baseline models in envisaging the next word or character in the Arabic text. The accuracy rates of 64.9% for LSTM, 74.6% for ARABERT + LSTM, and 78% for Markov chain models were achieved in predicting the next word, and the accuracy rates of 72% for LSTM, 72.22% for LSTM + CNN, and 73% for ARABERET + LSTM models were achieved for the next-character prediction. This work unveils a novelty in Arabic natural language processing tasks, estimating a potential future expansion in deriving a precise next-word and next-character forecasting, which can be an efficient utility for text generation and machine translation applications. Full article
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<p>Baidu’s Deep Speech Arabic representation.</p>
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<p>Block diagram representation.</p>
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<p>LSTM architecture.</p>
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<p>Block diagram representation—next-character prediction.</p>
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<p>Case 1: Word-based prediction.</p>
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<p>Case 2: character-based prediction.</p>
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24 pages, 19788 KiB  
Article
Spatiotemporal Changes and Influencing Factors of the Coupled Production–Living–Ecological Functions in the Yellow River Basin, China
by Zidao Lu, Maomao Zhang, Chunguang Hu, Lianlong Ma, Enqing Chen, Cheng Zhang and Guozhen Xia
Land 2024, 13(11), 1909; https://doi.org/10.3390/land13111909 - 14 Nov 2024
Viewed by 325
Abstract
The imbalance in the “production–living–ecology” function (PLEF) has become a major issue for global cities due to the rapid advancement of urbanization and industrialization worldwide. The realization of PLEF coupling and coordination is crucial for a region’s sustainable development. Existing research has defined [...] Read more.
The imbalance in the “production–living–ecology” function (PLEF) has become a major issue for global cities due to the rapid advancement of urbanization and industrialization worldwide. The realization of PLEF coupling and coordination is crucial for a region’s sustainable development. Existing research has defined the concept of PLEF from the perspective of land function and measured its coupling coordination level using relevant models. However, there is still room for improvement in the indicator system, research methods, and other aspects. This work builds a PLEF coupling coordination evaluation-index system based on the perspective of human habitat using multi-source data in order to examine the spatial differences in PLEF coupling coordination level and the influencing factors in the Yellow River Basin (YRB). Using the modified coupling coordination model, the Moran index, spatial Markov chain model, and geographically weighted random forest model were introduced to analyze its spatial and temporal differentiation and influencing factors. The results found that (a) the level of PLEF coupling coordination in the YRB from 2010 to 2022 has been improving, and the number of severely imbalanced cities has been reduced from 23 to 15, but the level of downstream cities’ coupling coordination is significantly higher than that of upstream cities. The probability of cities maintaining their own level is greater than 50%, and there is basically no cross-level transfer. (b) The Moran index of the PLEF coupling coordination level has risen from 0.137 to 0.229, which shows a significant positive clustering phenomenon and is continually strengthening. The intercity polarization effect is being continually enhanced as seen in the LISA clustering diagram. (c) There is significant heterogeneity between the influencing factors in time and space. In terms of importance level, the series is per capita disposable income (0.416) > nighttime lighting index (0.370) > local general public budget expenditure (0.332) > number of beds per 1000 people (0.191) > NO2 content in the air (0.110). This study systematically investigates the dynamic evolution of the coupled coordination level of PLEF in the YRB and its influencing mechanism, which is of great practical use. Full article
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<p>Research framework. P represents the transition probability.</p>
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<p>Connotation of the “production–living–ecology” function(PLEF) from the perspective of the human settlement environment.</p>
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<p>Overview of the research area.</p>
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<p>Spatial distributions of the production, living, and ecological function levels in the YRB.</p>
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<p>Spatial distribution of the PLEF coupling coordination level in the Yellow River Basin (YRB) from 2010 to 2022.</p>
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<p>LISA of the PLEF coupling coordination level in the YRB.</p>
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<p>Markov transition matrix of the PLEF coupling coordination level space in the YRB.</p>
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<p>Spatial distribution of the PLEF coupling coordination horizontal transfer characteristics of the YRB.</p>
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<p>Relative importance levels of the factors influencing the PLEF coupling coordination level in the YRB.</p>
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<p>Importance level of the factors influencing the PLEF coupling coordination level in the YRB from 2010 to 2022 under the economic level criterion layer.</p>
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<p>Importance level of the factors influencing the PLEF coupling coordination level in the YRB from 2010 to 2022 under the social development criterion layer.</p>
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<p>Importance level of the factors influencing the PLEF coupling coordination level in the YRB from 2010 to 2022 under the terrain environment criterion layer.</p>
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<p>Impact mechanism of the PLEF coupling coordination level in the Yellow River Basin.</p>
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22 pages, 7608 KiB  
Article
Analysis of the Wangping Brownfield Using a Two-Step Urban Brownfield Redevelopment Model
by Zhiping Liu, Yingxue Feng, Jing Li, Haoyu Tao, Zhen Liu, Xiaodan Li and Yue Hu
Land 2024, 13(11), 1880; https://doi.org/10.3390/land13111880 - 10 Nov 2024
Viewed by 594
Abstract
With societal progress, urban brownfields have become restrictive, and redevelopment studies have become an important part of urban renewal. In this work, we developed a two-step model for urban brownfield redevelopment, while considering the Wangping brownfield as the study area. Site suitability evaluation [...] Read more.
With societal progress, urban brownfields have become restrictive, and redevelopment studies have become an important part of urban renewal. In this work, we developed a two-step model for urban brownfield redevelopment, while considering the Wangping brownfield as the study area. Site suitability evaluation models for brownfield parks, agricultural picking gardens, and creative industrial centers were developed based on the elevation, slope, and surface runoff, and the evaluation results were categorized into five levels. The redevelopment plan was formulated based on these evaluation results. To study the effect of the plan, a transition matrix of land use was assessed using satellite images and the cellular automata (CA)–Markov model; based on the analysis, we predicted the land use situation of the Wangping brownfield, with respect to natural development, for 2030. A comparison of the redevelopment planning with the forecasted results revealed that the proportions of grassland, construction, and unused land decreased by 25.68, 3.12, and 2.38% and those of plowland and forest land increased by 6.61 and 24.57%. This confirms the advantages of redevelopment planning for restoring plowland and increasing biological carbon sinks. Notably, our two-step urban brownfield redevelopment model can enrich the current research on urban brownfields and guide similar urban renewal projects. Full article
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<p>Study framework. Abbreviations: analytic hierarchy process (AHP), cellular automata (CA), and geographic information system (GIS).</p>
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<p>Basic information on the current situation of the Wangping brownfield. (<b>A</b>) Surface information for Wangping: (<b>a</b>) satellite image of the current status of the surface; (<b>b</b>) function partition diagram; and (<b>c</b>) detailed plan. (<b>B</b>). Damage to the ecological environment in Wangping: (<b>a</b>) ground depression; (<b>b</b>) mountain collapse; (<b>c</b>) ground cracks; (<b>d</b>) water pollution; (<b>e</b>) landslides; and (<b>f</b>) coal gangue.</p>
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<p>Flow chart of the prediction model of the advantages of the redevelopment planning.</p>
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<p>Wangping brownfield redevelopment: (<b>a</b>) redevelopment suitability of the brownfield park; (<b>b</b>) redevelopment suitability of the agricultural picking garden; and (<b>c</b>) overall plan for the redevelopment of the area.</p>
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<p>Design of the Wangping brownfield redevelopment plan: (<b>a</b>) brownfield park; and (<b>b</b>) agricultural picking garden.</p>
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<p>Design of creative industry center: (<b>a</b>) landscape node; (<b>b</b>) functional area; and (<b>c</b>) personnel flow line designs for the study area.</p>
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<p>Land use change in Mentougou district during 2000–2020: (<b>a</b>) land use; and (<b>b</b>) transition trend.</p>
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<p>Land use prediction for the Wangping brownfield for 2030.</p>
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13 pages, 819 KiB  
Article
Optimal Inspection and Maintenance Policy: Integrating a Continuous-Time Markov Chain into a Homing Problem
by Mario Lefebvre and Roozbeh Yaghoubi
Machines 2024, 12(11), 795; https://doi.org/10.3390/machines12110795 - 10 Nov 2024
Viewed by 311
Abstract
The state of a machine is modeled as a controlled continuous-time Markov chain. Moreover, the machine is being serviced at random times. The aim is to maximize the time until the machine must be repaired, while taking the maintenance costs into account. The [...] Read more.
The state of a machine is modeled as a controlled continuous-time Markov chain. Moreover, the machine is being serviced at random times. The aim is to maximize the time until the machine must be repaired, while taking the maintenance costs into account. The dynamic programming equation satisfied by the value function is derived, enabling optimal decision-making regarding inspection rates, and special problems are solved explicitly. This approach minimizes direct maintenance costs along with potential failure expenses, establishing a robust methodology for determining inspection frequencies in reliability-centered maintenance. The results contribute to the advancement of maintenance strategies and provide explicit solutions for particular cases, offering ideas for application in reliability engineering. Full article
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<p>Transition diagram of the Markov chain.</p>
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<p>Functions <math display="inline"><semantics> <mrow> <msub> <mi>F</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mn>0</mn> </msub> <mo>)</mo> </mrow> </mrow> </semantics></math> (solid line) and <math display="inline"><semantics> <mrow> <msub> <mi>F</mi> <mn>2</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mn>0</mn> </msub> <mo>)</mo> </mrow> </mrow> </semantics></math> defined respectively in Equation (<a href="#FD24-machines-12-00795" class="html-disp-formula">24</a>) and Equation (<a href="#FD25-machines-12-00795" class="html-disp-formula">25</a>) for <math display="inline"><semantics> <mrow> <mi>t</mi> <mo>∈</mo> <mo>[</mo> <mn>0</mn> <mo>,</mo> <mn>2</mn> <mo>]</mo> </mrow> </semantics></math>, when <math display="inline"><semantics> <mrow> <msub> <mi>t</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>2</mn> </mrow> </semantics></math>.</p>
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<p>Optimal control <math display="inline"><semantics> <msubsup> <mi>u</mi> <mn>0</mn> <mo>*</mo> </msubsup> </semantics></math> given in Equation (<a href="#FD34-machines-12-00795" class="html-disp-formula">34</a>) when <math display="inline"><semantics> <mrow> <mi>λ</mi> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>c</mi> <mo>∈</mo> <mo>[</mo> <mn>5</mn> <mo>,</mo> <mn>10</mn> <mo>]</mo> </mrow> </semantics></math>.</p>
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