multi-item multi-objective optimization-location dynamic model with reliability

Document Type : Research Paper




One of the major factors of supply chain is distribution network and the problem of locating distribution centers is considered as one of the important decisions in supply chain. Also, one of the most important goals of the supply chain is customer satisfaction. So, Reliability can also be effective in delivering adequate productions to customers. A new multi-item multi-period multi-objective nonlinear mixed integer programming model is developed which aims minimizing total cost, warehouse space of distribution centers, tardiness and earliness times and maximizing distribution center’s reliability. The model is developed for a four-echelon supply chain. E-constraint and BOM methods are used to solve the model. Finally, some numerical examples are generated in different dimensions and solved to evaluate the performance of proposed model and solution methods and the results are compared together.


Main Subjects

1.Clark, A., and Scarf, H. (1960). “Optimal Policies for a Multi-Echelon Inventory Problem”, Management Sciences, Vol. 6, No. 4, PP. 475-490.
2.Hsiao, J. M., Lin,C., (2005). “A Buyer-Vendor EOQ Model with Changeable Lead Time in Supply Chain”, International Journal of Advanced Manufacturing and Technology, Vol. 26, No. 7-8, PP. 917–921.
3.Joglekar, P., and Tharthare, S., (1990). “The Individually Responsible and Rational Decision Approach to Economic Lot Sizes for One Vendor and Many Purchasers”, Decision Sciences, Vol. 21, No. 3, PP. 492-506.
4.Banerjee, A., J. Burton, S., (1994). “Coordinated Vs. Independent Inventory Replenishment Policies for a Vendor and Multiple Buyers”, International Journal of Production Economics, Vol. 35, No. 1-3, PP. 215–222.
5.Ben Daya, M., and Hariga, M., (2004). “Integrated Single Vendor Single Buyer Model with Stochastic Demand and Variable Lead Time”, International Journal of Production Economics, Vol. 92, No. 1, PP. 75–80.
6.Siajadi, H., Ibrahim, R. N., and Lochert, P. B., (2006). “Joint Economic Lot Size in Distribution System with Multiple Shipment Policy”, International Journal of Production Economics, Vol. 102, No. 2, PP. 302–316.
7.Hoque, M. A., (2008). “Synchronization in the Single-Manufacturer Multi-Buyer Integrated Inventory Supply Chain”, European Journal of Operational Research, Vol. 188, No. 3, PP. 811–825.
8.Taleizadeh, A. A., Niaki, S. T. A., and Barzinpour, F., (2011). “Multiple-Buyer Multiple-Vendor Multi-Product Multi-Constraint Supply Chain Problem with Stochastic Demand and Variable Lead-Time: A Harmony Search Algorithm”, Applied Mathematics and Computers, Vol. 217, No. 22, PP. 9234-9253.
9.Routroy, S., and Kodali, R., (2005). “Differential Evolution Algorithm for Supply Chain Inventory Planning”, Journal of Manufacturing Technology and Management, Vol. 16, No. 1, PP. 7–17.
10.Azaron, A. et al (2008). “A Multi-Objective Stochastic Programming Approach for Supply Chain Design Considering Risk”, International Journal of Production Economics, Vol. 116, No. 1, PP. 129–138.
11.El Sayed, M., Afia, N., and El Kharbotly, A., (2010). “A Stochastic Model for Forward Reverse Logistics Network Design Under Risk”, Computer and Industrial Engineering, Vol. 58, No. 3, PP. 423–431.
12.Zhou, W. Q., Chen, L., and Ge, H. M., (2013). “A Multi-Product Multi-Echelon Inventory Control Model with Joint Replenishment Strategy”, Applied Mathematical Modeling, Vol. 37, No.14, PP. 2039-2050.
13.Altiparmak, M.  et al. (2006), “A Genetic Algorithm Approach for Multi-Objective Optimization of the Supply Chain”, Networking, Computing and Engineering, Vol. 51, No. 1, PP. 197-216
14.Jafari, A., Sharif Yazdi, M., and Jafarian, M., (2010). “A New Multi-Objective Approach in Distribution Centers Location Problem in Fuzzy Environment”, Journal of Uncertain Systems, Vol. 4, No. 2, PP. 133-146.
15.Yazdian, A., and Shahanaghi, K., (2011). “A Multi-Objective Possibilistic Programming Approach for Locating Distribution Centers and Allocating Customers’ Demands in Supply Chains”, International Journal of Industrial Engineering Computations, Vol. 2, No. 1, PP. 193-202.
16.Pourroosta, A., Tvakoli Moghadam, R., and Ebrahimnezhad, S., (2011), “Multi-Product Multi-Period Manufacturing-Distribution Programming Model with Considering Fuzzy Parameters”, Journal of Industrial Engineering, Vol. 46, No. 2, PP. 147-158.
17.Razmi, J., Zahedi Anaraki, A., and Zakerinia, M., (2013). “A Bi-Objective Stochastic Optimization Model for Reliable Warehouse Network Redesign”, Mathematical and Computer Modelling, Vol. 58, No. 11-12, PP.1804–1813.
18.Arabzad, S. M., Ghorbani, M., and Tavakkoli Moghaddam, R., (2014). “An Evolutionary Algorithm for a New Multi Objective Location-Inventory Model in a Distribution Network with Transportation Modes and Third-Party Logistics Providers”, International Journal of Production Research, Vol. 53, No. 4, PP. 1038-1050.
19.Jiang, L., and Cui, Y., (2014). “Study on Multi-Resolution and Multi- Objective Site Selection Model for Logistics Distribution Centre”, Proceedings of the 17th International Symposium on Advancement of Construction Management and Real Estate, Springer, PP. 869-876.
20.Ahmadi Javid, A., and Hoseinpour, P., (2015). “Incorporating Location, Inventory and Price Decisions Into a Supply Chain Distribution Network Design Problem”, Computers and Operations Research, Vol. 56, PP. 110–119.
21.Mortezaei, N., Zulkifli, N., and Nilashi, M., (2015). “Trade-Off Analysis for Multi-Objective Aggregate Production Planning”, Journal of Soft Computing and Decision Support System, Vol. 2, No. 2, PP. 1-4.
22.Pasandideh, S. H. R., Niaki, S. T. A., and Asadi, K., (2015). “Optimizing a Bi-Objective Multi-Product Multi-Period Three Echelon Supply Chain Network with Warehouse Reliability”, Expert Systems with Applications Vol. 42, No. 5, PP. 2615-2623.
23.Yu, M. C., and Goh, M., (2014). “A Multi-Objective Approach to Supply Chain Visibility and Risk”, European Journal of Operational Research, Vol. 233, No. 1, PP. 125-130.
24.Kamali, A., Fatemi Ghomi, S. M. T., and Jolai, F., (2011). “A Multi-Objective Quantity Discount and Joint Optimization Model for Coordination of a Single-Buyer Multi-Vendor Supply Chain”, Computers and Mathematics with Applications, Vol. 62, No. 8, PP. 3251-3262.
25.Ozgen, D., and Gulsun, B., (2014). “Combining Possibilistic Linear Programming and Fuzzy AHP for Solving the Multi-Objective Capacitated Multi-Facility Location Problem”, Information Science, Vol. 268, No. 1, PP. 185-201
26.Sarrafha, K. et al. (2015). “Bi-Objective Integrated Procurement, Production and Distribution Problem of a Multi-Echelon Supply Chain Network Design: A New Tuned MOEA”, Computers and Operations Research, Vol. 54, PP. 35-51.
27.Sadeghi, J., and Niaki, S. T. A., (2015). “Two Parameter Tuned Multi-Objective Evolutionary Algorithms for a Bi-Objective Vendor Managed Inventory Model with Trapezoidal Fuzzy Demand”, Applied Soft Computing, Vol. 30, PP. 567-576.
28.Zitzler, E., and Thiele, L., (1998). “Multiobjective Optimization Using Evolutionary Algorithms- A Comparative Case Study”, Parallel Problem Solving from Nature, Germany, vol 1498. Springer, PP. 292-301.
29.Zitzler, E., Laumanns, M., and Thiele, L., (2001). “SPEA2: Improving the Strength Pareto Evolutionary Algorithm, Evolutionary Methods for Design”, Optimization and Control with Applications to Industrial Problems, Greece, PP. 95-100 (2001).
30.Kahafi Ardakani, A., Seyedhosseini, S, M., and Tavakoli Moghadam, R., (2016). “Location-Routing Problems: An Overview on Concepts, Models, Solving Methods, Applications and Research Gaps”, Journal of Industrial Engineering, Vol. 51, No. 2, PP. 223-250.