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A Tabu-Search Heuristic for the Capacitated Lot-Sizing Problem with Set-up Carryover

  • Mohan Gopalakrishnan


    (School of Management, Arizona State University West, MC 2451, PO Box 37100, Phoenix, Arizona 85069-7100)

  • Ke Ding


    (Prestige Telcomm. Ltd., 575 Boul. Morgon, Baie d'Urfe, PQ, Canada H9X 3T6)

  • Jean-Marie Bourjolly


    (Department of Decision Sciences ... MIS, Concordia University, 1455 de Maisonneuve Blvd. West Montreal, PQ, Canada H3G 1M8)

  • Srimathy Mohan


    (School of Management, Arizona State University West, MC 2451, PO Box 37100, Phoenix, Arizona 85069-7100)

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    This 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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    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 47 (2001)
    Issue (Month): 6 (June)
    Pages: 851-863

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    Handle: RePEc:inm:ormnsc:v:47:y:2001:i:6:p:851-863
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