A heuristic multi-start decomposition approach for optimal design of serial machining lines

Olga Guschinskaya 1 Alexandre Dolgui 2 Nikolai Guschinsky 3 Genrikh Levin 3
1 MSGI-ENSMSE - Département Méthodes Scientifiques pour la Gestion Industrielle
2 Laboratoire en Sciences et Technologies de l'Information
MSGI-ENSMSE - Département Méthodes Scientifiques pour la Gestion Industrielle
3 Operational Research Laboratory
Abstract : We study an optimal design problem for serial machining lines. Such lines consist of a sequence of stations. At every station, the operations to manufacture a product are grouped into blocks. The operations within each block are performed simultaneously by the same spindle head and the blocks of the same station are executed sequentially. The inclusion and exclusion constraints for combining operations into blocks and stations as well as the precedence constraints on the set of operations are given. The problem is to group the operations into blocks and stations minimizing the total line cost. A feasible solution must respect the given cycle time and all given constraints. In this paper, a heuristic multi-start decomposition approach is proposed. It utilizes a decomposition of the initial problem into several sub-problems on the basis of a heuristic solution. Then each obtained sub-problem is solved by an exact algorithm. This procedure is repeated many times, each time it starts with a new heuristic solution. Computational tests show that the proposed approach outperforms simple heuristic algorithms for large-scale problems.
Keywords : Machining line Logical layout design Combinatorial optimization Graph approach Mixed integer programming Decomposition Heuristics
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Journal articles
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https://hal.archives-ouvertes.fr/hal-00387681
Contributor : Grégory Six <>
Submitted on : Monday, May 25, 2009 - 5:42:55 PM
Last modification on : Thursday, October 17, 2019 - 12:36:37 PM

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Olga Guschinskaya, Alexandre Dolgui, Nikolai Guschinsky, Genrikh Levin. A heuristic multi-start decomposition approach for optimal design of serial machining lines. European Journal of Operational Research, Elsevier, 2008, 189 (3), pp.902-913. ⟨10.1016/j.ejor.2006.03.072⟩. ⟨hal-00387681⟩

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