A Tabu-Search Heuristic for the Capacitated Lot-Sizing Problem with Set-up Carryover
AbstractThis paper presents a tabu-search heuristic for the capacitated lot-sizing problem (CLSP) with set-up carryover. This production-planning problems allows multiple items to be produced within a time period, and setups for items to be carried over from one period to the next. Two interrelated decisions, sequencing and lot sizing, are present in this problem. Our tabu-search heuristic consists of five basic move types---three for the sequencing decisions and two for the lot-sizing decisions. We allow infeasible solutions to be generated at a penalty during the course of the search. We use several search strategies, such as dynamic tabu list, adaptive memory, and self-adjusting penalties, to strengthen our heuristic. We also propose a lower-bounding procedure to estimate the quality of our heuristic solution. We have also modified our heuristic to produce good solutions for the CLSP without set-up carryover. The computational study, conducted on a set of 540 test problems, indicates that on average our heuristic solutions are within 12% of a bound on optimality. In addition, for the set of test problems our results indicate an 8% reduction in total cost through set-up carryover.
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Bibliographic InfoArticle provided by INFORMS in its journal Management Science.
Volume (Year): 47 (2001)
Issue (Month): 6 (June)
Lot Sizing; Tabu Search; Set-up Carryover;
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- Sahling, Florian & Buschkühl, Lisbeth & Tempelmeier, Horst & Helber, Stefan, 2008. "Solving a Multi-Level Capacitated Lot Sizing Problem with Multi-Period Setup Carry-Over via a Fix-and-Optimize Heuristic," Diskussionspapiere der Wirtschaftswissenschaftlichen FakultÃ¤t der Leibniz UniversitÃ¤t Hannover dp-400, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
- Muller, Laurent Flindt & Spoorendonk, Simon & Pisinger, David, 2012. "A hybrid adaptive large neighborhood search heuristic for lot-sizing with setup times," European Journal of Operational Research, Elsevier, vol. 218(3), pages 614-623.
- Jans, Raf & Degraeve, Zeger, 2007. "Meta-heuristics for dynamic lot sizing: A review and comparison of solution approaches," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1855-1875, March.
- Kampf, M. & Kochel, P., 2006. "Simulation-based sequencing and lot size optimisation for a production-and-inventory system with multiple items," International Journal of Production Economics, Elsevier, vol. 104(1), pages 191-200, November.
- Bouchriha, Hanen & Ouhimmou, Mustapha & D'Amours, Sophie, 2007. "Lot sizing problem on a paper machine under a cyclic production approach," International Journal of Production Economics, Elsevier, vol. 105(2), pages 318-328, February.
- Brahimi, Nadjib & Dauzere-Peres, Stephane & Najid, Najib M. & Nordli, Atle, 2006. "Single item lot sizing problems," European Journal of Operational Research, Elsevier, vol. 168(1), pages 1-16, January.
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