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An exact approach for single machine subproblems in shifting bottleneck procedures for job shops with total weighted tardiness objective

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  • Braune, R.
  • Zäpfel, G.
  • Affenzeller, M.
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    Abstract

    In this paper, we propose an exact solution method for single machine scheduling problems typically arising from bottleneck-based decomposition of weighted tardiness job shops. The encountered subproblems are characterized by delayed precedence constraints, multiple local due dates per operation and an objective function that is given by a weighted sum of maximum tardiness values. The key concept for solving these subproblems to optimality is a dominance rule whose underlying concepts have been newly developed to cope with the given structural properties. Furthermore, a simple lower bound and a dedicated constraint programming technique are presented. The efficiency of the proposed method is demonstrated by means of single machine problems collected during a run of a shifting bottleneck procedure for job shops in different size and due date tightness configurations.

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 218 (2012)
    Issue (Month): 1 ()
    Pages: 76-85

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    Handle: RePEc:eee:ejores:v:218:y:2012:i:1:p:76-85

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Scheduling; Single machine; Bottleneck decomposition; Subproblem solution; Branch and bound;

    References

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    1. Mati, Yazid & Dauzère-Pérès, Stèphane & Lahlou, Chams, 2011. "A general approach for optimizing regular criteria in the job-shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 212(1), pages 33-42, July.
    2. Monch, Lars & Schabacker, Rene & Pabst, Detlef & Fowler, John W., 2007. "Genetic algorithm-based subproblem solution procedures for a modified shifting bottleneck heuristic for complex job shops," European Journal of Operational Research, Elsevier, vol. 177(3), pages 2100-2118, March.
    3. Jouglet, Antoine & Savourey, David & Carlier, Jacques & Baptiste, Philippe, 2008. "Dominance-based heuristics for one-machine total cost scheduling problems," European Journal of Operational Research, Elsevier, vol. 184(3), pages 879-899, February.
    4. Jouglet, Antoine & Carlier, Jacques, 2011. "Dominance rules in combinatorial optimization problems," European Journal of Operational Research, Elsevier, vol. 212(3), pages 433-444, August.
    5. Egon Balas & Jan Karel Lenstra & Alkis Vazacopoulos, 1995. "The One-Machine Problem with Delayed Precedence Constraints and its Use in Job Shop Scheduling," Management Science, INFORMS, vol. 41(1), pages 94-109, January.
    6. Joseph Adams & Egon Balas & Daniel Zawack, 1988. "The Shifting Bottleneck Procedure for Job Shop Scheduling," Management Science, INFORMS, vol. 34(3), pages 391-401, March.
    7. Carlier, Jacques, 1982. "The one-machine sequencing problem," European Journal of Operational Research, Elsevier, vol. 11(1), pages 42-47, September.
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    Cited by:
    1. Rasti-Barzoki, Morteza & Hejazi, Seyed Reza, 2013. "Minimizing the weighted number of tardy jobs with due date assignment and capacity-constrained deliveries for multiple customers in supply chains," European Journal of Operational Research, Elsevier, vol. 228(2), pages 345-357.

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