Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11779/1728
Title: A Lot-Sizing Problem in Deliberated and Controlled Co-Production Systems
Authors: Kabakulak, Banu
Ağralı, Semra
Taşkın, Z. Caner
Pamuk, Bahadır
Keywords: Lot-Sizing
MILP
Co-production
Branch & Cut
Publisher: Taylor and Francis
Source: Pamuk, B., Agralı, S., & Kabakulak, B. (28 Dec 2021). A Lot-Sizing Problem in Deliberated and Controlled Co-Production Systems.IISE Transactions. pp. 1-47. https://doi.org/10.1080/24725854.2021.2022250
Abstract: We consider an uncapacitated lot sizing problem in co-production systems, in which it is possible to produce multiple items simultaneously in a single production run. Each product has a deterministic demand to be satisfied on time. The decision is to choose which items to co-produce and the amount of production throughout a predetermined planning horizon. We show that the lot sizing problem with co-production is strongly NP-Hard. Then, we develop various mixed-integer linear programming (MILP) formulation of the problem and show that LP relaxations of all MILPs are equal. We develop a separation algorithm based on a set of valid inequalities, lower bounds based on a dynamic lot-sizing relaxation of our problem and a constructive heuristic that is used to obtain an initial solution for the solver, which form the basis of our proposed Branch & Cut algorithm for the problem. We test our models and algorithms on different data sets and provide the results.
URI: https://hdl.handle.net/20.500.11779/1728
https://doi.org/10.1080/24725854.2021.2022250
ISSN: 2472-5854
Appears in Collections:Endüstri Mühendisliği Bölümü Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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