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Applying constraint satisfaction techniques to job shop scheduling

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  • Cheng-Chung Cheng
  • Stephen Smith

Abstract

In this paper, we investigate the applicability of a constraint satisfaction problem solving (CSP) model, recently developed for deadline scheduling, to more commonly studied problems of schedule optimization. Our hypothesis is twofold: (1) that CSP scheduling techniques provide a basis for developing high-performance approximate solution procedures in optimization contexts, and (2) that the representational assumptions underlying CSP models allow these procedures to naturally accommodate the idiosyncratic constraints that complicate most real-world applications. We focus specifically on the objective criterion of makespan minimization, which has received the most attention within the job shop scheduling literature. We define an extended solution procedure somewhat unconventionally by reformulating the makespan problem as one of solving a series of different but related deadline scheduling problems, and embedding a simple CSP procedure as the subproblem solver. We first present the results of an empirical evaluation of our procedure performed on a range of previously studied benchmark problems. Our procedure is found to provide strong costyperformance, producing solutions competitive with those obtained using recently reported shifting bottleneck search procedures at reduced computational expense. To demonstrate generality, we also consider application of our procedure to a more complicated, multi-product hoist scheduling problem. With only minor adjustments, our procedure is found to significantly outperform previously published procedures for solving this problem across a range of input assumptions. Copyright Kluwer Academic Publishers 1997

Suggested Citation

  • Cheng-Chung Cheng & Stephen Smith, 1997. "Applying constraint satisfaction techniques to job shop scheduling," Annals of Operations Research, Springer, vol. 70(0), pages 327-357, April.
  • Handle: RePEc:spr:annopr:v:70:y:1997:i:0:p:327-357:10.1023/a:1018934507395
    DOI: 10.1023/A:1018934507395
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    Cited by:

    1. Raf Jans, 2009. "Solving Lot-Sizing Problems on Parallel Identical Machines Using Symmetry-Breaking Constraints," INFORMS Journal on Computing, INFORMS, vol. 21(1), pages 123-136, February.
    2. Jain, A. S. & Meeran, S., 1999. "Deterministic job-shop scheduling: Past, present and future," European Journal of Operational Research, Elsevier, vol. 113(2), pages 390-434, March.
    3. Mariano Frutos & Ana Olivera & Fernando Tohmé, 2010. "A memetic algorithm based on a NSGAII scheme for the flexible job-shop scheduling problem," Annals of Operations Research, Springer, vol. 181(1), pages 745-765, December.
    4. Brailsford, Sally C. & Potts, Chris N. & Smith, Barbara M., 1999. "Constraint satisfaction problems: Algorithms and applications," European Journal of Operational Research, Elsevier, vol. 119(3), pages 557-581, December.

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