Abstract
This paper suggests a novel robust formulation designed for optimizing the parameters of the turning process in an uncertain environment for the first time. The aim is to achieve the lowest energy consumption and highest precision. With this aim, the current paper considers uncertain parameters, objective functions, and constraints in the offered mathematical model. We proposed several uncertain models and validated the results in real-world case studies. In addition, several artificial intelligence-based solution techniques are designed to solve the complex nonlinear problem. We determined the most efficient solution approach by solving various test problems. Then, simulated several scenarios to demonstrate the robustness of our results. The results showed that the solutions provided by the offered model significantly reduce energy consumption in different setups. To ensure the reliability of the results, we carried out worst-case sensitivity analyses and found the most critical parameters. The results of the worst-case analyses indicated that the offered robust model is efficient and saves a significant amount of energy comparing to traditional models. It is shown that the provided solution by the presented robust formulation is reliable in all situations and results in the lowest energy and the best machining precision.
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Ahilan, C., Kumanan, S., Sivakumaran, N., & Dhas, J. E. R. (2013). Modeling and prediction of machining quality in CNC turning process using intelligent hybrid decision making tools. Applied Soft Computing, 13(3), 1543–1551.
Arif, M., Stroud, I. A., & Akten, O. (2014). A model to determine the optimal parameters for sustainable-energy machining in a multi-pass turning operation. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 228(6), 866–877. https://doi.org/10.1177/0954405413508945.
Chauhan, P., Pant, M., & Deep, K. (2015). Parameter optimization of multi-pass turning using chaotic PSO. International Journal of Machine Learning and Cybernetics, 6(2), 319–337. https://doi.org/10.1007/s13042-013-0221-1.
Chen, M. C. (2004). Optimizing machining economics models of turning operations using the scatter search approach. International Journal of Production Research, 42(13), 2611–2625. https://doi.org/10.1080/00207540410001666251.
Chen, M. C., & Tsai, D. M. (1996). A simulated annealing approach for optimization of multi-pass turning operations. International Journal of Production Research, 34(10), 2803–2825. https://doi.org/10.1080/00207549608905060.
De, A., Mogale, D. G., Zhang, M., Pratap, S., Kumar, S. K., & Huang, G. Q. (2020). Multi-period multi-echelon inventory transportation problem considering stakeholders behavioural tendencies. International Journal of Production Economics, 225, 107566.
Diyaley, S., & Chakraborty, S. (2019). Metaheuristics-based parametric optimization of multi-pass turning process: A comparative analysis. OPSEARCH, 57, 1–24.
Elishakoff, I., & Elettro, F. (2014). Interval, ellipsoidal, and super-ellipsoidal calculi for experimental and theoretical treatment of uncertainty: Which one ought to be preferred? International Journal of Solids and Structures, 51(7–8), 1576–1586.
Fang, K., Uhan, N., Zhao, F., & Sutherland, J. W. (2011). A new approach to scheduling in manufacturing for power consumption and carbon footprint reduction. Journal of Manufacturing Systems, 30(4), 234–240.
Farrokh, M., Azar, A., Jandaghi, G., & Ahmadi, E. (2018). A novel robust fuzzy stochastic programming for closed loop supply chain network design under hybrid uncertainty. Fuzzy Sets and Systems, 341, 69–91.
Fazli-Khalaf, M., Khalilpourazari, S., & Mohammadi, M. (2017). Mixed robust possibilistic flexible chance constraint optimization model for emergency blood supply chain network design. Annals of Operations Research. https://doi.org/10.1007/s10479-017-2729-3.
Hashemi Doulabi, H., Jaillet, P., Pesant, G., & Rousseau, L. M. (2020b). Exploiting the structure of two-stage robust optimization models with exponential scenarios. INFORMS Journal on Computing. https://doi.org/10.1287/ijoc.2019.0928.
Hashemi Doulabi, H., Pesant, G., & Rousseau, L. M. (2020a). Vehicle routing problems with synchronized visits and stochastic travel and service times: Applications in healthcare. Transportation Science, 54(4), 1053–1072.
Inuiguchi, M., & Ramık, J. (2000). Possibilistic linear programming: A brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem. Fuzzy Sets and Systems, 111(1), 3–28.
Jurkovic, Z., Cukor, G., Brezocnik, M., & Brajkovic, T. (2018). A comparison of machine learning methods for cutting parameters prediction in high speed turning process. Journal of Intelligent Manufacturing, 29(8), 1683–1693.
Khalilpourazari, S., & Khalilpourazary, S. (2017). A lexicographic weighted Tchebycheff approach for multi-constrained multi-objective optimization of the surface grinding process. Engineering Optimization, 49(5), 878–895. https://doi.org/10.1080/0305215X.2016.1214437.
Khalilpourazari, S., Mirzazadeh, A., Weber, G. W., & Pasandideh, S. H. R. (2020a). A robust fuzzy approach for constrained multi-product economic production quantity with imperfect items and rework process. Optimization, 69, 63–90.
Khalilpourazari, S., & Mohammadi, M. (2016, January). Optimization of closed-loop Supply chain network design: A Water Cycle Algorithm approach. In 2016 12th international conference on industrial engineering (ICIE) (pp. 41–45). IEEE.
Khalilpourazari, S., Naderi, B., & Khalilpourazary, S. (2020b). Multi-Objective Stochastic Fractal Search: A powerful algorithm for solving complex multi-objective optimization problems. Soft Computing, 24(4), 3037–3066.
Khalilpourazari, S., & Pasandideh, S. H. R. (2016, January). Bi-objective optimization of multi-product EPQ model with backorders, rework process and random defective rate. In 2016 12th international conference on industrial engineering (ICIE) (pp. 36–40). IEEE. https://doi.org/10.1109/induseng.2016.7519346
Khalilpourazari, S., & Pasandideh, S. H. R. (2020). Sine–cosine crow search algorithm: Theory and applications. Neural Computing and Applications, 32,32, 7725–7742.
Khalilpourazari, S., Pasandideh, S. H. R., & Niaki, S. T. A. (2019). Optimizing a multi-item economic order quantity problem with imperfect items, inspection errors, and backorders. Soft Computing, 23(22), 11671–11698.
Khalilpourazari, S., Soltanzadeh, S., Weber, G. W., & Roy, S. K. (2020c). Designing an efficient blood supply chain network in crisis: Neural learning, optimization and case study. Annals of Operations Research, 289, 1–30.
Khishtandar, S. (2019). Simulation based evolutionary algorithms for fuzzy chance-constrained biogas supply chain design. Applied Energy, 236, 183–195.
Kropat, E., Weber, G. W., Alparslan-Gök, S. Z., & Özmen, A. (2014). Inverse problems in complex multi-modal regulatory networks based on uncertain clustered data. In A. Pinto & D. Zilberman (Eds.), Modeling, dynamics, optimization and bioeconomics I (pp. 437–451). Cham: Springer.
Kumar, R., Bilga, P. S., & Singh, S. (2017). Multi objective optimization using different methods of assigning weights to energy consumption responses, surface roughness and material removal rate during rough turning operation. Journal of Cleaner Production, 164, 45–57.
Lalmazloumian, M., Wong, K. Y., Govindan, K., & Kannan, D. (2016). A robust optimization model for agile and build-to-order supply chain planning under uncertainties. Annals of Operations Research, 240(2), 435–470. https://doi.org/10.1007/s10479-013-1421-5.
Li, C., Cui, L., Liu, F., & Li, L. (2013). Multi-objective NC machining parameters optimization model for high efficiency and low carbon. Jixie Gongcheng Xuebao (Chinese Journal of Mechanical Engineering), 49(9), 87–96.
Liu, S., & Forrest, J. Y. L. (2010). Grey systems: Theory and applications. Berlin: Springer.
Liu, B., & Iwamura, K. (1998). Chance constrained programming with fuzzy parameters. Fuzzy Sets and Systems, 94(2), 227–237. https://doi.org/10.1016/S0165-0114(96)00236-9.
Liu, Z., Li, X., Wu, D., Qian, Z., Feng, P., & Rong, Y. (2019). The development of a hybrid firefly algorithm for multi-pass grinding process optimization. Journal of Intelligent Manufacturing, 30(6), 2457–2472.
Lu, C., Gao, L., Li, X., & Chen, P. (2016). Energy-efficient multi-pass turning operation using multi-objective backtracking search algorithm. Journal of Cleaner Production, 137, 1516–1531. https://doi.org/10.1016/j.jclepro.2016.07.029.
McParland, D., Baron, S., O’Rourke, S., Dowling, D., Ahearne, E., & Parnell, A. (2019). Prediction of tool-wear in turning of medical grade cobalt chromium molybdenum alloy (ASTM F75) using non-parametric Bayesian models. Journal of Intelligent Manufacturing, 30(3), 1259–1270.
Mogale, D. G., Cheikhrouhou, N., & Tiwari, M. K. (2020). Modelling of sustainable food grain supply chain distribution system: A bi-objective approach. International Journal of Production Research, 58(18), 5521–5544. https://doi.org/10.1080/00207543.2019.1669840.
Mogale, D. G., Ghadge, A., Kumar, S. K., & Tiwari, M. K. (2019). Modelling supply chain network for procurement of food grains in India. International Journal of Production Research. https://doi.org/10.1080/00207543.2019.1682707.
Mohammadi, M., & Khalilpourazari, S. (2017, February). Minimizing makespan in a single machine scheduling problem with deteriorating jobs and learning effects. In Proceedings of the 6th international conference on software and computer applications (pp. 310–315).
Onwubolu, G. C., & Kumalo, T. (2001). Optimization of multipass turning operations with genetic algorithms. International Journal of Production Research, 39(16), 3727–3745. https://doi.org/10.1080/00207540110056153.
Phuc, P. N. K., Vincent, F. Y., & Tsao, Y. C. (2017). Optimizing fuzzy reverse supply chain for end-of-life vehicles. Computers & Industrial Engineering, 113, 757–765. https://doi.org/10.1016/j.cie.2016.11.007.
Pishvaee, M. S., & Khalaf, M. F. (2016). Novel robust fuzzy mathematical programming methods. Applied Mathematical Modelling, 40(1), 407–418. https://doi.org/10.1016/j.apm.2015.04.054.
Pishvaee, M. S., Razmi, J., & Torabi, S. A. (2012). Robust possibilistic programming for socially responsible supply chain network design: A new approach. Fuzzy Sets and Systems, 206, 1–20. https://doi.org/10.1016/j.fss.2012.04.010.
Rabbani, M., Hosseini-Mokhallesun, S. A. A., Ordibazar, A. H., & Farrokhi-Asl, H. (2020). A hybrid robust possibilistic approach for a sustainable supply chain location-allocation network design. International Journal of Systems Science: Operations & Logistics, 7(1), 60–75.
Radovanović, M. (2019). Multi-objective optimization of multi-pass turning AISI 1064 steel. The International Journal of Advanced Manufacturing Technology, 100(1–4), 87–100.
Ramezani, M., Kimiagari, A. M., Karimi, B., & Hejazi, T. H. (2014). Closed-loop supply chain network design under a fuzzy environment. Knowledge-Based Systems, 59, 108–120. https://doi.org/10.1016/j.knosys.2014.01.016.
Rao, R. V., & Kalyankar, V. D. (2013). Multi-pass turning process parameter optimization using teaching–learning-based optimization algorithm. Scientia Iranica, 20(3), 967–974.
Rodić, D., Sekulić, M., Gostimirović, M., Pucovsky, V., & Kramar, D. (2020). Fuzzy logic and sub-clustering approaches to predict main cutting force in high-pressure jet assisted turning. Journal of Intelligent Manufacturing. https://doi.org/10.1007/s10845-020-01555-4.
Salehi, F., Mahootchi, M., & Husseini, S. M. M. (2017). Developing a robust stochastic model for designing a blood supply chain network in a crisis: A possible earthquake in Tehran. Annals of Operations Research. https://doi.org/10.1007/s10479-017-2533-0.
Savku, E., & Weber, G. W. (2018). A stochastic maximum principle for a markov regime-switching jump-diffusion model with delay and an application to finance. Journal of Optimization Theory and Applications, 179(2), 696–721.
Shin, Y. C., & Joo, Y. S. (1992). Optimization of machining conditions with practical constraints. The International Journal of Production Research, 30(12), 2907–2919. https://doi.org/10.1080/00207549208948198.
Srinivas, J., Giri, R., & Yang, S. H. (2009). Optimization of multi-pass turning using particle swarm intelligence. The International Journal of Advanced Manufacturing Technology, 40(1–2), 56–66. https://doi.org/10.1007/s00170-007-1320-5.
Torabi, S. A., & Hassini, E. (2008). An interactive possibilistic programming approach for multiple objective supply chain master planning. Fuzzy Sets and Systems, 159(2), 193–214. https://doi.org/10.1016/j.fss.2007.08.010.
Tosarkani, B. M., Amin, S. H., & Zolfagharinia, H. (2019). A scenario-based robust possibilistic model for a multi-objective electronic reverse logistics network. International Journal of Production Economics, 224, 107557.
Toufik, A. (2020). Multi-objective particle swarm algorithm for the posterior selection of machining parameters in multi-pass turning. Journal of King Saud University-Engineering Sciences. https://doi.org/10.1016/j.jksues.2020.05.001.
Tsao, Y. C., & Thanh, V. V. (2019). A multi-objective mixed robust possibilistic flexible programming approach for sustainable seaport-dry port network design under an uncertain environment. Transportation Research Part E: Logistics and Transportation Review, 124, 13–39.
Vijayakumar, K., Prabhaharan, G., Asokan, P., & Saravanan, R. (2003). Optimization of multi-pass turning operations using ant colony system. International Journal of Machine Tools and Manufacture, 43(15), 1633–1639. https://doi.org/10.1016/S0890-6955(03)00081-6.
Wang, X. K. (2006). Mechanical processing handbook. Beijing: China Machine Press.
Wang, Q., Liu, F., & Wang, X. (2014). Multi-objective optimization of machining parameters considering energy consumption. The International Journal of Advanced Manufacturing Technology, 71(5–8), 1133–1142. https://doi.org/10.1007/s00170-013-5547-z.
Wang, X., Tian, J., Wang, R., Xu, J., Chen, S., Wang, J., et al. (2019). Multi-objective economic dispatch of cogeneration unit with heat storage based on fuzzy chance constraint. Energies, 12(1), 103.
Weber, G. W., Gök, S. Z. A., & Kropat, E. (2011). Recent advances on ellipsoidal cooperative Games. In GAME THEORY AND MANAGEMENT. Collected abstracts of papers presented on the fifth international conference game theory and management/editors Leon A. Petrosyan and Nikolay A. Zenkevich.–SPb.: Graduate School of Management SPbU, 2011.–268 p. The collection contains abstracts of papers accepted for the fifth international (p. 255).
Weber, G. W., Kropat, E., & Alparslan Gök, S. Z. (2008, May). Semi-infinite and conic optimization in modern human life and financial sciences under uncertainty. In ISI proceedings of 20th mini-EURO conference (pp. 180–185). Neringa: Continuous Optimization and Knowledge-Based Technologies.
Weiss, E. B. (1992). United Nations conference on environment and development. International Legal Materials, 31(4), 814–817.
Xu, S., Wang, Y., & Huang, F. (2017). Optimization of multi-pass turning parameters through an improved flower pollination algorithm. The International Journal of Advanced Manufacturing Technology, 89(1–4), 503–514. https://doi.org/10.1007/s00170-016-9112-4.
Yang, S. H., & Natarajan, U. (2010). Multi-objective optimization of cutting parameters in turning process using differential evolution and non-dominated sorting genetic algorithm-II approaches. The International Journal of Advanced Manufacturing Technology, 49(5–8), 773–784.
Yıldırım, M. H., Özmen, A., Bayrak, Ö. T., & Weber, G. W. (2012). Electricity price modelling for Turkey. In D. Klatte, H. J. Lüthi, & K. Schmedders (Eds.), Operations research proceedings 2011 (pp. 39–44). Berlin: Springer.
Yildiz, A. R. (2012). A comparative study of population-based optimization algorithms for turning operations. Information Sciences, 210, 81–88. https://doi.org/10.1016/j.ins.2012.03.005.
Yildiz, A. R. (2013). Optimization of cutting parameters in multi-pass turning using artificial bee colony-based approach. Information Sciences, 220, 399–407. https://doi.org/10.1016/j.ins.2012.07.012.
Yuan, C., Zhai, Q., & Dornfeld, D. (2012). A three dimensional system approach for environmentally sustainable manufacturing. CIRP Annals-Manufacturing Technology, 61(1), 39–42. https://doi.org/10.1016/j.cirp.2012.03.105.
Zhao, G. Y., Liu, Z. Y., He, Y., Cao, H. J., & Guo, Y. B. (2017). Energy consumption in machining: Classification, prediction, and reduction strategy. Energy, 133, 142–157. https://doi.org/10.1016/j.energy.2017.05.110.
Zhong, Q., Tang, R., & Peng, T. (2017). Decision rules for energy consumption minimization during material removal process in turning. Journal of Cleaner Production, 140, 1819–1827.
Zhou, Y., Ahn, S., Chitturi, M., & Noyce, D. A. (2017). Rolling horizon stochastic optimal control strategy for ACC and CACC under uncertainty. Transportation Research Part C: Emerging Technologies, 83, 61–76.
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Khalilpourazari, S., Khalilpourazary, S., Özyüksel Çiftçioğlu, A. et al. Designing energy-efficient high-precision multi-pass turning processes via robust optimization and artificial intelligence. J Intell Manuf 32, 1621–1647 (2021). https://doi.org/10.1007/s10845-020-01648-0
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DOI: https://doi.org/10.1007/s10845-020-01648-0