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An adjusted robust optimization method to an integrated production-distribution planning problem in closed-loop supply chains under uncertainty. (English) Zbl 1455.90004
Summary: In the last decade, planning of closed-loop supply chains in different strategic, tactical, and operational levels has attracted many interests due to economic reasons, environmental challenges, and government legislations. This paper presents a novel linear programming model for the integrated production and distribution planning in closed-loop supply chains under uncertainty. The proposed model involves multi-product and multi-period which considers multiple transportation modes, direct or indirect shipments, advertising costs, and several customer zones for different types of products and also attempts to integrate production and distribution plans in the forward and reverse sides of the closed-loop supply chain, simultaneously. To deal with uncertain input data, a robust optimization counterpart based on polyhedral uncertainty set is developed to obtain optimal solutions immunizing the problem for any realization of uncertain parameters in the given polyhedral uncertainty set. Computation results for a numerical example under different scenarios are discussed to give insights about the features of the proposed robust optimization model in handling the uncertainty of parameters. Finally, some sensitivity analyses are performed to show the behaviour of the robust and deterministic models respect to changes of uncertainty levels of parameters as well as the amounts of important parameters such as demands and returns.
MSC:
90B05 Inventory, storage, reservoirs
90B50 Management decision making, including multiple objectives
90C17 Robustness in mathematical programming
90C05 Linear programming
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[1] Azaron, A., Brown, K. N., Tarim, S. A. and Modarres, M. (2008).A multi-objective stochastic programming approach for supply chain design considering risk, International Journal of Production Economics, Vol.116, 129-138.
[2] Ben-Tal, A., El-Ghaoui, L. and Nemirovski, A. (2009). Robust Optimization, Princeton University Press. · Zbl 1221.90001
[3] El-Sayed, M., Afia, N. and El-Kharbotly, A. (2010). A stochastic optimization model for integrated forward/reverse supply chain network design, Journal of Manufacturing Systems, Vol.28, 107-114.
[4] Easwaran, G. and ¨Uster, H. (2010).A closed-loop supply chain network design problem with integrated forward and reverse channel decisions, IIE Transactions, Vol.42, 779-792.
[5] Fleischmann, M., Beullens, P., Bloemhof-ruwaard, J. M. and Wassenhove, L. (2001).The impact of product recovery on logistics network design, Production and Operations Management, Vol.10, 156-73.
[6] Fahimnia, B., Luong, L. and Marian, R. (2012).Genetic algorithm optimization of an integrated aggregate production-distribution plan in supply chains, International Journal of Production Research, Vol.50, 81-96.
[7] Ghasemy Yaghin, R., Torabi, S. A. and Fatemi Ghomi, S. M. T. (2012).Integrated markdown pricing and aggregate production planning in a two echelon supply chain: A hybrid fuzzy multiple objective approach, Applied Mathematical Modelling, Vol.36, 6011-6030. · Zbl 1349.90295
[8] Hasani, A., Zegordi, S. H. and Nikbakhsh, H. (2012).Robust closed-loop supply chain network design for perishable goods in agile manufacturing under uncertainty, International Journal of Production Research, Vol.50, 4649-4669.
[9] Huang, G. Q., Lau, J. S. K. and Mak, K. L. (2003).The impacts of sharing production information on supply chain dynamics: a review of the literature, International Journal of Production Research, Vol.41, 1483-1517.
[10] Jamalnia, A. and Soukhakian, M. A. (2009).A hybrid fuzzy goal programming approach with different goal priorities to aggregate production planning, Computers and Industrial Engineering, Vol.56, 14741486.
[11] Kanyalkar, Atul, P. and Gajendra, K. Adil (2010).A robust optimisation model for aggregate and detailed planning of a multi-site procurement-production-distribution system, International Journal of Production Research, Vol.48, 635-656. · Zbl 1197.90144
[12] Kim, K., Song, I., Kim, J. and Jeong, B. (2006).Supply planning model for remanufacturing system in reverse logistics environment, Computers and Industrial Engineering, Vol.51, 279-287.
[13] Kenne, J. P., Dejax, P. and Gharbi, A. (2012).Production planning of a hybrid manufacturingremanufacturing system under uncertainty within a closed-loop supply chain, International Journal of Production Economics, Vol.135: 81-93.
[14] Kanyalkar, A. P. and Adil, G. K. (2007).Aggregate and detailed production planning integrating procurement and distribution plans in a multi-site environment, International Journal of Production Research, Vol.45, 5329-5353. · Zbl 1128.90393
[15] Leung, S. C. H., Tsang, S. O. S., Ng, W. L. and Wu, Y. (2007).A robust optimization model for multisite production planning problem in an uncertain environment, European Journal of Operational Research, Vol.181, 224-238. · Zbl 1121.90329
[16] Liu, S. and Papageorgiou, L. G. (2013).Multi objective optimisation of production, distribution and capacity planning of global supply chains in the process industry, Omega, Vol.41, 369-382.
[17] Li, Z., Ding, R., and Floudas, C. A. (2011).A Comparative Theoretical and Computational Study on Robust Counterpart Optimization: I. Robust Linear and Robust Mixed Integer Linear Optimization, Industrial & Engineering Chemistry Research, Vol.50, 10567-10603.
[18] Mula, J., Peidro, D., Dıaz-Madro˜nero, M., Vicens, E. (2010).Mathematical programming models for supply chain production and transport planning, European Journal of Operational Research, Vol.204: 377-390. · Zbl 1181.90001
[19] Meade, L., Sarkis, J. and Presley, A. (2007).The theory and practice of reverse logistics, International Journal of Logistics systems and Management, Vol.3, 56-84. · Zbl 1128.90427
[20] Noorul Haq, A., and Kannan, G., (2006).Design of an integrated supplier selection and multi-echelon distribution inventory model in a built-to-order supply chain environment, International Journal of Production Research, Vol.44, 1963-1985.
[21] Nam, S. and Logendran, R. (1992).Aggregate production planning - a survey of models and methodologies, European Journal of Operational Research, Vol.61: 255-272.
[22] Ozdamar, L., Bozyel, M. A., and Birbil, S. L. (1998).A hierarchical decision support system for production planning(with case study), European Journal of Operational Research, Vol.104, 403-422. · Zbl 0960.90505
[23] Pishvaee, M. S., Zanjirani Farahani, R. and Dullaert, W. (2010).A memetic algorithm for biobjective integrated forward/reverse logistics network design, Computers and Operations Research, Vol.37, 1100-1112. · Zbl 1178.90060
[24] Pishvaee, M. S., Jolai, F. and Razmi, J. (2009).A stochastic optimization model for integrated forward/reverse supply chain network design, Journal of Manufacturing Systems, Vol.28, 107-114.
[25] Pishvaee, M. S., Rabbani, M. and Torabi, S. A. (2011).A robust optimization approach to closed-loop supply chain network design under uncertainty, Applied Mathematical Modeling, Vol.35, 637-649. · Zbl 1205.90056
[26] Souza, G. C. (2013).Closed-Loop Supply Chains: A Critical Review, and Future Research, Decision Sciences, Vol.44, 7-38.
[27] Stadler, H. and Kilger, C. (2005). Supply Chain Management and Advanced Planning: Concepts Models, Software and Case Studies, Springer, Berlin, Germany.
[28] Shi, J., Zhang, G., and Sha, J. (2011).Optimal production planning for a multi-product closed loop system with uncertain demand and return, Computers and Operations Research, Vol.38, 641-650. · Zbl 1201.90037
[29] Torabi, S. A. and Moghaddam, M. (2012).Multi-site integrated production-distribution planning with trans-shipment: a fuzzy goal programming approach, International Journal of Production Research, Vol.50, 1726-1748.
[30] Torabi, S. A. and Hassini, E., (2008).An interactive possibilistic programming approach for multiple objective supply chain master planning, Fuzzy Sets and Systems, Vol.159, 193-214. · Zbl 1168.90352
[31] Torabi, S. A. and Hassini, E. (2009).Multi-site production planning integrating procurement and distribution plans in multi-echelon supply chains: an interactive fuzzy goal programming approach, International Journal of Production Research, Vol.47, 5475-5499. · Zbl 1198.90150
[32] Vahdani, B., Razmi, J. and Tavakkoli-Moghaddam (2012).Fuzzy Possibilistic Modeling for Closed Loop Recycling Collection Networks, Environmental Modeling & Assessment, Vol.17, 623-637.
[33] Wang, R. C. and Liang, T. F. (2004).Application of fuzzy multi-objective linear programming to aggregate production planning, Computers and Industrial Engineering, Vol.46, 17-41.
[34] Pibernik, R. and Sucky, E. (2006).Centralized and decentralized supply chain planning, International Journal of Integrated Supply Management, Vol.2, 6-27.
[35] Pereira Ramos, T. R., Gomes, M. I. and Barbosa-P´ovoa A. P. (2014).Planning a sustainable reverse logistics system: Balancing costs with environmental and social concerns, Omega, Vol.48, 60-74.
[36] Niknejad, A. and Petrovic, D. (2014).Optimisation of integrated reverse logistics networks with different product recovery routes, European Journal of Operational Research, Vol.238, 143-154. · Zbl 1338.90031
[37] Chuang, C.-H., Wang, C. X. and Zhao, Y. (2014).Closed-loop supply chain models for a high-tech product under alternative reverse channel and collection cost structures, International Journal of Production Economics, Vol.156, 108-123.
[38] Govindan, K., Soleimani, H. and Kannan, D. (2015).Reverse logistics and closed-loop supply chain: A comprehensive review to explore the future, European Journal of Operational Research, Vol.240, 603-626. · Zbl 1338.90006
[39] Niknamfar, A. H., Akhavan Niaki, S. T. and Pasandideh, S. H. R. (2015).Robust optimization approach for an aggregate production-distribution planning in a three-level supply chain, The International Journal of Advanced Manufacturing Technology, Vol.76, 623-634.
[40] Cheng, B., Leung, J. Y. T. and Li, K. (2015).Integrated scheduling of production and distribution to minimize total cost using an improved ant colony optimization method, Computers & Industrial Engineering, Vol.83, 217-225.
[41] Ma, Y., Yan, F., Kang, K. and Wei, X. (2016).A novel integrated production-distribution planning model with conflict and coordination in a supply chain network, Knowledge-Based Systems, Vol.105, 119-133.
[42] Camacho-Vallejo, J.
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