Robust Model for Designing a Dynamic Closed-loop Supply Chain with Adjustable Capacity

Document Type : Research Paper

Authors

1 Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran

2 Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran

Abstract

In this paper, firstly by using a mixed linear programming a new model of locating facilities with limited capacity is presented to design a closed-loop supply chain in a multi-product and multi-period mode. Then, using a robust optimization approach, the proposed model decreases in non-deterministic expansion. The results show that the proposed model can handle facility capacity in a closed loop logistics network. In addition, the results showed that the cost and time of test problems for the robust model is higher than the deterministic model.

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Main Subjects


1. Lee, D. and Dong, M. (2008). “A heuristic approach to logistics network design for end-of-lease computer products recovery”, Transportations Research,  Vol. 44, No. 3, PP. 455– 474.
2. Chopra, S. and Meindel, P. (2004). Supply chain management: Strategy planning and operations, Chapter 11, Prentice- Hall Inc.
3. Fleischmann, M., Beullens, P., Bloemhof-Ruwaard, J., Van Wassenhove, L. (2001). “The impact of product recovery on logistics network design”, Production and Operations Management, Vol. 10, No. 2, PP. 156– 173.
4. Salema, M. I. G., Barbosa-Pavoa, A. P. and Navais, A. Q. (2007). “An optimization model  for the design of a capacitated multi- ptoduct revers logistics network with uncertaintiv”, Eur. J. Res., Vol. 179, No. 3, PP. 1063- 1077.
5. Üster, H., Easwaran, G., Akçali, E. and Çetinkaya, S. (2007). “Benders decomposition with alternative multiple cuts for a multi-product closed-loop supply chain network design model”, Naval Research. Logistics, Vol. 54, No. 8, PP. 890– 907.
6. Pishvaee, M. R., Farahani, R. Z. and Dullaert, W. (2010). “A memetic algorithm for bi-objective integrated forward/reverse logistics network design”, Computer Operational Research, Vol. 37, No. 6, PP. 1100– 1112.
7. 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, No. 2, PP. 637– 649.
8. Hasanzadeh, Amin., S. and Zhang, G. (2012). “An integrated model for closed-loop supply chain configuration and supplier selection: Multi-objective approach”, Expert Systems with Applications, Vol. 39, No. 8, PP. 6782– 6791.
9. Ramezani, M., Bashiri, M. and Tavdkoli Moghaddam, R. (2012). “A new  multi-objective stochastic model for a forward/ reverse logistic network design with responsiveness and quality level”, Applied Mathematical Modeling, Vol. 37, No. 1, PP. 328– 344.
10. Hasanzadeh Amin, S. and  Zhang, G. (2013). “A multi-objective facility location model for closed-loop supply chain network under uncertain demand and return”, Applied Mathematical Modeling, Vol. 37, No. 6, PP. 4165– 4176.
11. Ramezani, M., Bashiri, M. and Tavakkoli-Moghaddam, R. (2013). “A robust design for a closed-loop supply chain network under an uncertain environment”, International Journal of Advanced Manufacturing Technology, Vol. 66, No. 5- 8, PP. 825- 843.
12. Ko, H. J. and Evans, G. W. (2007). “A genetic-based heuristic for the dynamic integrated forward/reverse logistics network for 3PLs”, Computer Operational Research, Vol. 34, No. 2,  PP. 346– 366.
13. Min, H. and Ko, H. J. (2008). “The dynamic design of a reverse logisticsnetwork from the perspective of third-party logistics service providers”, Int J Prod Econ, Vol. 113, No. 1, PP. 176– 192.
14. Lee, D. H. and Dong, M. (2009). “Dynamic network design for reverse logistics operations under uncertainty”, Transportation Research, Vol. 45, No. 1,  PP. 61– 71.
15. El-Sayed, M., Afia, N. and El-Kharbotly, A. (2010). “A stochastic model for forward–reverse logistics network design under risk”, Computer Industrial Engineering, Vol. 58, No. 3,  PP. 423– 431.
16. Vahdani, B. (2014). “Vehicle positioning in cell manufacturing systems via robust optimization”, Applied Soft Computing, Vol. 24, No. 1, PP. 78- 85.
17. Ben-Tal, A. and Nemirovski, A. (1998). “Robust convex optimization”, Mathematics of Operations Research, Vol. 23, No. 4, PP. 769– 805.
18. Ben-Tal, A. and Nemirovski, A. (2000). “Robust solutions of linear programming problems contaminated with uncertain data”, Mathematical Programming, Vol. 88, No. 3, PP. 411– 424.
19. Ben-Tal, A., Golany, B., Nemirovski, A. and Vial, J. P. (20005). “Retailer-supplier flexible commitments contracts: A robust optimization approach”, Manufacturing and Service Operations Management,  Vol. 7, No. 3,  PP. 248– 271.
20. Ben-Tal, A., El-Ghaoui, L. and Nemirovski, A. (2009). Robust Optimization, Princeton University Press.