Abstract
In this paper we address the integration of two-level supply chain with multiple items, production facility and retailers’ demand over a considered discrete time horizon. This two-level production distribution system features capacitated production facility supplying several retailers located in the same region. If production does take place, this process incurs a fixed setup cost as well as unit production costs. In addition, deliveries are made from the plant to the retailers by a limited number of capacitated vehicles and routing costs are incurred. This work aims at implementing a solution to minimize the sum of the costs at the production facility and the retailers. The methodology adopted to tackle this issue is based on a hybrid heuristic, greedy and genetic algorithms that uses strong formulation to provide a good solution of a guaranteed quality that are as good or better than those provided by the MIP optimizer with a considerably larger run time. The results demonstrate that the proposed heuristics are effective and performs impressively in terms of computational efficiency and solution quality.
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References
Geoffrion, A.M., Powers, R.F.: 20 years of strategic distribution system design: an evolutionary perspective. Interfaces 25(5), 105–127 (1995)
Thomas, D.J., Griffin, P.M.: Coordinated supply chain management. Eur. J. Oper. Res. 94(1), 1–15 (1996)
Infante, D., Paletta, G., Vocaturo, F.: A ship-truck intermodal transportation problem. Marit. Econ. Logist. 11, 247–259 (2009)
Li, J., Sava, A., Xie, X.: Performance evaluation and optimization of a two-stage production-distribution system with batch orders and finite transportation time. In: The 16th World Congress of IFAC, Prague (2005)
Chitsaz, M., Cordeau, J.-F., Jans, R.: A unified decomposition matheuristic for assembly, production, and inventory routing. INFORMS J. Comput. 31(1), 134–152 (2019)
Cárdenas-Barrón, L.E., González-Velarde, J.L., TreviñoGarza, G., Garza-Nuñez, D.: Heuristic algorithm based on reduce and optimize approach for a selective and periodic inventory routing problem in a waste vegetable oil collection environment. Int. J. Prod. Econ. 211, 44–59 (2019)
Archetti, C., Bertazzi, L., Laporte, G., Speranza, M.G.: A branch-and-cut algorithm for a vendor managed inventory routing problem. Transp. Sci. 41(3), 382–91 (2007)
Bhatnagar, R., Chandra, P.: Goyal SK models for multi-plant coordination. Eur. J. Oper. Res. 67(2), 141–160 (1993)
Sarmiento, A.M., Nagi, R.: A review of integrated analysis of production-distribution systems. IIE Trans. 11(3), 1061–1074 (1999)
Boudia, M., Prins, C.: A memetic algorithm with dynamic population management for an integrated production-distribution problem. Eur. J. Oper. Res. 195(3), 703–715 (2009)
Ettl, M., Feigin, G.E., Lin, G.Y., Yao, D.D.: A supply network model with base-stock control and service requirements. Oper. Res. 48(2), 216–232 (2000)
Boudia, M., Louly, M.A.O., Prins, C.: Areactive GRASP and path relinking for a combined production-distribution problem. Comput. Oper. Res. 34(11), 3402–3419 (2007)
Armentano, V.A., Shiguemoto, A.L., Løkketangen, A.: Tabu search with path relinking for an integrated production-distribution problem. Comput. Oper. Res. 38(8), 1199–1209 (2011)
Bard, J.F., Nananukul, N.: The integrated production-inventory-distribution- routing problem. J. Sched. 12(3), 257–280 (2009)
Chang, K.-H., Lu, Y.-S.: Inventory management in a base-stock controlled serial production system with finite storage space. Math. Comput. Model. 54, 2750–2759 (2011)
Golden, B., Assad, A., Levy, L., Gheysens, F.: The fleet size and mix vehicle routing problem. Comput. Oper. Res. 11, 49–66 (1984)
Bard, J.F., Nananukul, N.: Heuristics for a multiperiod inventory routing problem with production decisions. Comput. Ind. Eng. 57(3), 713–723 (2009)
Adulyasak, Y., Cordeau, J.-F., Jans, R.: Optimization based adaptive large neighborhood search for the production routing problem. Transp. Sci. 48(1), 20–45 (2014)
Arkin, E., Joneja, D., Roundy, R.: Computational complexity of uncapacitated multi echelon production planning problems. Oper. Res. Lett. 8(2), 61–66 (1989)
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Mohamed, B., Abdelhamid, S. (2021). Hybrid Heuristic Optimization of an Integrated Production Distribution System with Stock and Transportation Costs. In: Senouci, M.R., Boudaren, M.E.Y., Sebbak, F., Mataoui, M. (eds) Advances in Computing Systems and Applications. CSA 2020. Lecture Notes in Networks and Systems, vol 199. Springer, Cham. https://doi.org/10.1007/978-3-030-69418-0_11
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