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The Changeover Scheduling Problem with Time and Cost Considerations: Analytical Results and a Forward Algorithm

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  • James D. Blocher

    (Kelley School of Business, Indiana University, 1309 East Tenth Street, Bloomington, Indiana 47405)

  • Suresh Chand

    (Krannert School of Management, Purdue University, West Lafayette, Indiana 47907)

  • Kaushik Sengupta

    (i2 Technologies, 1055 Parsippany Blvd., Suite 210, Parsippany, New Jersey 07054)

Abstract

In a multiproduct, discrete-item manufacturing environment, it is often more economical to have one “flexible” machine to produce several products rather than to have a dedicated machine for the production of each product. We consider the problem of scheduling multiple products on a single-finite-capacity resource when faced with product-dependent, but sequence-independent, changeover costs and times. The problem horizon is assumed finite and the demand time-varying and known over this horizon. The objective is to find a feasible schedule that meets all demand on time and minimizes the total changeover cost.With the “delivery-on-time-or-else” mentality and the trend toward shorter order-to-delivery lead times, scheduling and managing changeovers has become just that much more important. We first present analytical results to reduce the feasible solution space and then develop a branch-and-bound algorithm to solve this NP-complete problem. Computational results are presented that show that the algorithm can solve realistic size problems in a reasonable amount of time.

Suggested Citation

  • James D. Blocher & Suresh Chand & Kaushik Sengupta, 1999. "The Changeover Scheduling Problem with Time and Cost Considerations: Analytical Results and a Forward Algorithm," Operations Research, INFORMS, vol. 47(4), pages 559-569, August.
    • Handle: RePEc:inm:oropre:v:47:y:1999:i:4:p:559-569
    DOI: 10.1287/opre.47.4.559
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    References listed on IDEAS

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    1. C. R. Glassey, 1968. "Minimum Change-Over Scheduling of Several Products on One Machine," Operations Research, INFORMS, vol. 16(2), pages 342-352, April.
    2. Dirk Cattrysse & Marc Salomon & Roelof Kuik & Luk N. Van Wassenhove, 1993. "A Dual Ascent and Column Generation Heuristic for the Discrete Lotsizing and Scheduling Problem with Setup Times," Management Science, INFORMS, vol. 39(4), pages 477-486, April.
    3. T. L. Magnanti & R. Vachani, 1990. "A Strong Cutting Plane Algorithm for Production Scheduling with Changeover Costs," Operations Research, INFORMS, vol. 38(3), pages 456-473, June.
    4. Blocher, James D. & Chand, Suresh, 1996. "A forward branch-and-search algorithm and forecast horizon results for the changeover scheduling problem," European Journal of Operational Research, Elsevier, vol. 91(3), pages 456-470, June.
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    Cited by:

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    2. Suerie, Christopher, 2006. "Modeling of period overlapping setup times," European Journal of Operational Research, Elsevier, vol. 174(2), pages 874-886, October.
    3. Mütze, Torsten, 2014. "Scheduling with few changes," European Journal of Operational Research, Elsevier, vol. 236(1), pages 37-50.

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