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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. 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.
    2. 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.
    3. C. R. Glassey, 1968. "Minimum Change-Over Scheduling of Several Products on One Machine," Operations Research, INFORMS, vol. 16(2), pages 342-352, April.
    4. 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.
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    Cited by:

    1. Suerie, Christopher, 2006. "Modeling of period overlapping setup times," European Journal of Operational Research, Elsevier, vol. 174(2), pages 874-886, October.
    2. Jans, R.F. & Degraeve, Z., 2005. "Modeling Industrial Lot Sizing Problems: A Review," ERIM Report Series Research in Management ERS-2005-049-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    3. Mütze, Torsten, 2014. "Scheduling with few changes," European Journal of Operational Research, Elsevier, vol. 236(1), pages 37-50.

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