MIP Formulations for a Rich Real-World Lot-Sizing Problem with Setup Carryover
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作者:
Focacci, Filippo
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DecisionBrain, 18 Rue Yves Toudic, F-75010 Paris, FranceDecisionBrain, 18 Rue Yves Toudic, F-75010 Paris, France
Focacci, Filippo
[1
]
Furini, Fabio
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Univ Paris 09, CNRS, PSL, LAMSADE UMR 7243, F-75775 Paris 16, FranceDecisionBrain, 18 Rue Yves Toudic, F-75010 Paris, France
Furini, Fabio
[2
]
Gabrel, Virginie
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Univ Paris 09, CNRS, PSL, LAMSADE UMR 7243, F-75775 Paris 16, FranceDecisionBrain, 18 Rue Yves Toudic, F-75010 Paris, France
Gabrel, Virginie
[2
]
Godard, Daniel
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DecisionBrain, 18 Rue Yves Toudic, F-75010 Paris, FranceDecisionBrain, 18 Rue Yves Toudic, F-75010 Paris, France
Godard, Daniel
[1
]
Shen, Xueying
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DecisionBrain, 18 Rue Yves Toudic, F-75010 Paris, France
Univ Paris 09, CNRS, PSL, LAMSADE UMR 7243, F-75775 Paris 16, FranceDecisionBrain, 18 Rue Yves Toudic, F-75010 Paris, France
Shen, Xueying
[1
,2
]
机构:
[1] DecisionBrain, 18 Rue Yves Toudic, F-75010 Paris, France
[2] Univ Paris 09, CNRS, PSL, LAMSADE UMR 7243, F-75775 Paris 16, France
A rich lot-sizing problem is studied in this manuscript which comes from a real-world application. Our new lot-sizing problem combines several features, i.e., parallel machines, production time windows, backlogging, lost sale and setup carryover. Three mixed integer programming formulations are proposed. We theoretically and computationally compare these different formulations, testing them on real-world and randomly generated instances. Our study is the first step for efficiently tackling and solving this challenging real-world lot-sizing problem.
机构:
Univ Estadual Paulista, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
Fiorotto, Diego Jacinto
Jans, Raf
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HEC Montreal, Montreal, PQ H3T 2A7, Canada
CIRRELT, Montreal, PQ H3T 2A7, CanadaUniv Estadual Paulista, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
Jans, Raf
de Araujo, Silvio Alexandre
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Univ Estadual Paulista, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil