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A capacitated lot sizing problem with stochastic setup times and overtime

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info:eu-repo/semantics/closedAccess

Date

2019

Author

Taş, Duygu
Gendreau, Michel
Jabali, Ola
Jans, Raf

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Citation

Taş, D., Gendreau, M., Jabali, O., & Jans, R. (January 01, 2019). A capacitated lot sizing problem with stochastic setup times and overtime. European Journal of Operational Research, 273, 1, 146-159.

Abstract

In this paper, we study a Capacitated Lot Sizing Problem with Stochastic Setup Times and Overtime (CLSPSSTO). We describe a mathematical model that considers both regular costs (including production, setup and inventory holding costs) and expected overtime costs (related to the excess usage of capacity). The CLSP-SSTO is formulated as a two-stage stochastic programming problem. A procedure is proposed to exactly compute the expected overtime for a given setup and production plan when the setup times follow a Gamma distribution. A sample average approximation procedure is applied to obtain upper bounds and a statistical lower bound. This is then used to benchmark the performance of two additional heuristics. A first heuristic is based on changing the capacity in the deterministic counterpart, while the second heuristic artificially modifies the setup time. We conduct our computational experiments on well-known problem instances and provide comprehensive analyses to evaluate the performance of each heuristic. (C) 2018 Elsevier B.V. All rights reserved.

Source

European Journal Of Operational Research

Volume

273

Issue

1

URI

http://dx.doi.org/10.1016/j.ejor.2018.07.032
https://hdl.handle.net/20.500.11779/722

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  • Araştırma Çıktıları, Scopus İndeksli Yayınlar Koleksiyonu [429]
  • Araştırma Çıktıları, WOS İndeksli Yayınlar Koleksiyonu [470]
  • MF, EM, Makale Koleksiyonu [34]



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