Lot-sizing for production planning in a recovery system with returns
RAIRO - Operations Research - Recherche Opérationnelle, Volume 49 (2015) no. 1, pp. 123-142.

This paper deals with the production planning and control problem of a single product involving combined manufacturing and remanufacturing operations. We investigate here a lot-sizing problem in which the demand for items can be satisfied by both the new and the remanufactured products. We assume that produced and recovered items are of the same quality. Two types of inventories are involved in this problem. The produced items are stored in the first inventory. The returned products are collected in the second inventory and then remanufactured. The objective of this study is to propose a manufacturing/remanufacturing policy that would minimize the holding, the set up and preparation costs. The decision variables are the manufacturing and the remanufacturing rates. The paper proposes an extension of the reverse Wagner/Whitin dynamic production planning and inventory control model, a Memetic Algorithm (MA) and a Hybrid Algorithm (HA). The HA was improved with a post-optimization procedure using Path Relinking. Numerical experiments were conducted on a set of 300 instances with up to 48 periods. The results show that both methods give high-quality solutions in moderate computational time.

DOI: 10.1051/ro/2014044
Classification: 90B30, 90C27, 90C59
Keywords: Lot-sizing, remanufacturing, genetic algorithm, GRASP, path relinking
Zouadi, Tarik 1; Yalaoui, Alice 2; Reghioui, Mohamed 1; El Kadiri, Kamal Eddin 1

1 National School of Applied Sciences of Tetouan Mhannech II, BP 2121 Tetouan, Morocco.
2 LOSI (UMR CNRS ICD 6281), University of Technology of Troyes, 12 Rue Marie Curie CS 42060, 10004 Troyes Cedex, France.
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     title = {Lot-sizing for production planning in a recovery system with returns},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {123--142},
     publisher = {EDP-Sciences},
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Zouadi, Tarik; Yalaoui, Alice; Reghioui, Mohamed; El Kadiri, Kamal Eddin. Lot-sizing for production planning in a recovery system with returns. RAIRO - Operations Research - Recherche Opérationnelle, Volume 49 (2015) no. 1, pp. 123-142. doi : 10.1051/ro/2014044. http://archive.numdam.org/articles/10.1051/ro/2014044/

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