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Solving the discrete lotsizing and scheduling problem with sequence dependent set-up costs and set-up times using the travelling salesman problem with time windows

Author: Van Wassenhove, Luk N. ; Dumas, Y. ; Salomon, M. ; Solomon, M. M ; Dumas, Yvan ; Dauzère-Pérès, StéphaneINSEAD Area: Technology and Operations ManagementIn: European Journal of Operational Research, vol. 100, no. 3, aug. 1997 Language: EnglishDescription: p. 494-513.Type of document: INSEAD ArticleNote: Please ask us for this itemAbstract: In this paper we consider the discrete lotsizing and scheduling problem with sequence dependent set-up costs and set-up times (DLSPSD). DLSPSD contains elements from lotsizing and from job scheduling, and is known to be NP-Hard. An exact solution procedure for DLSPSD is developed, based on a transformation of DLSPSD into a travelling salesman problem with time windows (TSPTW). TSPTW is solved by a novel dynamic programming approach due to Dumas et al. (1993). The results of a computational study shows that the algorithm is the first one capable of solving DLSPSD problems of moderate size to optimality with reasonable computational effort
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In this paper we consider the discrete lotsizing and scheduling problem with sequence dependent set-up costs and set-up times (DLSPSD). DLSPSD contains elements from lotsizing and from job scheduling, and is known to be NP-Hard. An exact solution procedure for DLSPSD is developed, based on a transformation of DLSPSD into a travelling salesman problem with time windows (TSPTW). TSPTW is solved by a novel dynamic programming approach due to Dumas et al. (1993). The results of a computational study shows that the algorithm is the first one capable of solving DLSPSD problems of moderate size to optimality with reasonable computational effort

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