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Analysis of a parallel machine scheduling problem with sequence dependent setup times and job availability intervals

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  • Gedik, Ridvan
  • Rainwater, Chase
  • Nachtmann, Heather
  • Pohl, Ed A.

Abstract

In this study, we propose constraint programming (CP) model and logic-based Benders algorithms in order to make the best decisions for scheduling non-identical jobs with availability intervals and sequence dependent setup times on unrelated parallel machines in a fixed planning horizon. In this problem, each job has a profit, cost and must be assigned to at most one machine in such a way that total profit is maximized. In addition, the total cost has to be less than or equal to a budget level. Computational tests are performed on a real-life case study prepared in collaboration with the U.S. Army Corps of Engineers (USACE). Our initial investigations show that the pure CP model is very efficient in obtaining good quality feasible solutions but, fails to report the optimal solution for the majority of the problem instances. On the other hand, the two logic-based Benders decomposition algorithms are able to obtain near optimal solutions for 86 instances out of 90 examinees. For the remaining instances, they provide a feasible solution. Further investigations show the high quality of the solutions obtained by the pure CP model.

Suggested Citation

  • Gedik, Ridvan & Rainwater, Chase & Nachtmann, Heather & Pohl, Ed A., 2016. "Analysis of a parallel machine scheduling problem with sequence dependent setup times and job availability intervals," European Journal of Operational Research, Elsevier, vol. 251(2), pages 640-650.
    • Handle: RePEc:eee:ejores:v:251:y:2016:i:2:p:640-650
    DOI: 10.1016/j.ejor.2015.11.020
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    1. Ruslan Sadykov & Laurence A. Wolsey, 2006. "Integer Programming and Constraint Programming in Solving a Multimachine Assignment Scheduling Problem with Deadlines and Release Dates," INFORMS Journal on Computing, INFORMS, vol. 18(2), pages 209-217, May.
    2. J.M. van den Akker & C.A.J. Hurkens & M.W.P. Savelsbergh, 2000. "Time-Indexed Formulations for Machine Scheduling Problems: Column Generation," INFORMS Journal on Computing, INFORMS, vol. 12(2), pages 111-124, May.
    3. Türsel Eliiyi, Deniz & Azizoglu, Meral, 2011. "Heuristics for operational fixed job scheduling problems with working and spread time constraints," International Journal of Production Economics, Elsevier, vol. 132(1), pages 107-121, July.
    4. W L Pearn & S H Chung & M H Yang, 2002. "The wafer probing scheduling problem (WPSP)," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(8), pages 864-874, August.
    5. Vipul Jain & Ignacio E. Grossmann, 2001. "Algorithms for Hybrid MILP/CP Models for a Class of Optimization Problems," INFORMS Journal on Computing, INFORMS, vol. 13(4), pages 258-276, November.
    6. Siwate Rojanasoonthon & Jonathan Bard, 2005. "A GRASP for Parallel Machine Scheduling with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 17(1), pages 32-51, February.
    7. Kroon, Leo G. & Salomon, Marc & Van Wassenhove, Luk N., 1995. "Exact and approximation algorithms for the operational fixed interval scheduling problem," European Journal of Operational Research, Elsevier, vol. 82(1), pages 190-205, April.
    8. J. N. Hooker, 2007. "Planning and Scheduling by Logic-Based Benders Decomposition," Operations Research, INFORMS, vol. 55(3), pages 588-602, June.
    9. John N. Hooker, 2002. "Logic, Optimization, and Constraint Programming," INFORMS Journal on Computing, INFORMS, vol. 14(4), pages 295-321, November.
    10. S Heipcke, 1999. "Comparing constraint programming and mathematical programming approaches to discrete optimisation—the change problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(6), pages 581-595, June.
    11. SADYKOV, Ruslan & WOLSEY, Laurence A., 2006. "Integer programming and constraint programming in solving a multimachine assignment scheduling problem with deadlines and release dates," LIDAM Reprints CORE 1854, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. R. Rodosek & M.G. Wallace & M.T. Hajian, 1999. "A new approach to integrating mixed integer programming and constraint logicprogramming," Annals of Operations Research, Springer, vol. 86(0), pages 63-87, January.
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