Title |
A lot-sizing problem in deliberated and controlled co-production systems |
ID_Doc |
17337 |
Authors |
Pamuk, B; Agrali, S; Taskin, ZC; Kabakulak, B |
Title |
A lot-sizing problem in deliberated and controlled co-production systems |
Year |
2022 |
Published |
Iise Transactions, 54, 10 |
DOI |
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) formulations 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. |
Author Keywords |
Co-production; lot-sizing; MILP; branch & cut |
Index Keywords |
Index Keywords |
Document Type |
Other |
Open Access |
Open Access |
Source |
Science Citation Index Expanded (SCI-EXPANDED) |
EID |
WOS:000754103800001 |
WoS Category |
Engineering, Industrial; Operations Research & Management Science |
Research Area |
Engineering; Operations Research & Management Science |
PDF |
http://openaccess.mef.edu.tr/xmlui/bitstream/20.500.11779/1728/1/A%20Lot%20Sizing%20Problem%20in%20Deliberated%20and%20Controlled%20Co%20Production%20Systems.pdf
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