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Computing lower and upper bounds for a large-scale industrial job shop scheduling problem

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  • Drótos, Márton
  • Erdos, Gábor
  • Kis, Tamás

Abstract

In this paper we present a case study from the lighting industry concerned with the scheduling of a set of job families each representing the production of a particular end-item in a given quantity. It is a job shop type problem, where each job family has a number of routing alternatives, and the solution has to respect batching and machine availability constraints. All jobs of the same job family have a common release date and a common due date, and they differ only in size. The objective is to minimize the total tardiness of the job families, rather than that of individual jobs. We propose a two-phase method based on solving a mixed-integer linear program and then improving the initial solution by tabu search. We evaluate our method on real-world as well as generated instances.

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  • Drótos, Márton & Erdos, Gábor & Kis, Tamás, 2009. "Computing lower and upper bounds for a large-scale industrial job shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 197(1), pages 296-306, August.
  • Handle: RePEc:eee:ejores:v:197:y:2009:i:1:p:296-306
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    References listed on IDEAS

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    1. Schmidt, Gunter, 2000. "Scheduling with limited machine availability," European Journal of Operational Research, Elsevier, vol. 121(1), pages 1-15, February.
    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. Fred Glover, 1989. "Tabu Search---Part I," INFORMS Journal on Computing, INFORMS, vol. 1(3), pages 190-206, August.
    4. Kis, Tamas, 2003. "Job-shop scheduling with processing alternatives," European Journal of Operational Research, Elsevier, vol. 151(2), pages 307-332, December.
    5. Aggoune, Riad, 2004. "Minimizing the makespan for the flow shop scheduling problem with availability constraints," European Journal of Operational Research, Elsevier, vol. 153(3), pages 534-543, March.
    6. Liaee, Mohammad Mehdi & Emmons, Hamilton, 1997. "Scheduling families of jobs with setup times," International Journal of Production Economics, Elsevier, vol. 51(3), pages 165-176, September.
    7. Eugeniusz Nowicki & Czeslaw Smutnicki, 1996. "A Fast Taboo Search Algorithm for the Job Shop Problem," Management Science, INFORMS, vol. 42(6), pages 797-813, June.
    8. Stéphane Dauzère-Pérès & Jan Paulli, 1997. "An integrated approach for modeling and solving the general multiprocessor job-shop scheduling problem using tabu search," Annals of Operations Research, Springer, vol. 70(0), pages 281-306, April.
    9. Blazewicz, Jacek & Breit, Joachim & Formanowicz, Piotr & Kubiak, Wieslaw & Schmidt, Günter, 2001. "Heuristic algorithms for the two-machine flowshop with limited machine availability," Omega, Elsevier, vol. 29(6), pages 599-608, December.
    10. Nowicki, Eugeniusz & Smutnicki, Czeslaw, 1998. "The flow shop with parallel machines: A tabu search approach," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 226-253, April.
    11. 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.
    12. Logendran, Rasaratnam & deSzoeke, Paula & Barnard, Faith, 2006. "Sequence-dependent group scheduling problems in flexible flow shops," International Journal of Production Economics, Elsevier, vol. 102(1), pages 66-86, July.
    13. E A Silver, 2004. "An overview of heuristic solution methods," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(9), pages 936-956, September.
    14. J.M.J. Schutten, 1998. "Practical job shop scheduling," Annals of Operations Research, Springer, vol. 83(0), pages 161-178, October.
    15. Potts, Chris N. & Kovalyov, Mikhail Y., 2000. "Scheduling with batching: A review," European Journal of Operational Research, Elsevier, vol. 120(2), pages 228-249, January.
    16. Christian Artigues & Pierre Lopez & Pierre-Dimitri Ayache, 2005. "Schedule Generation Schemes for the Job-Shop Problem with Sequence-Dependent Setup Times: Dominance Properties and Computational Analysis," Annals of Operations Research, Springer, vol. 138(1), pages 21-52, September.
    17. F T Tseng & J N D Gupta & E F Stafford, 2006. "A penalty-based heuristic algorithm for the permutation flowshop scheduling problem with sequence-dependent set-up times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(5), pages 541-551, May.
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    Cited by:

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    3. Egri, Péter & Váncza, József, 2013. "A distributed coordination mechanism for supply networks with asymmetric information," European Journal of Operational Research, Elsevier, vol. 226(3), pages 452-460.
    4. Bürgy, Reinhard & Bülbül, Kerem, 2018. "The job shop scheduling problem with convex costs," European Journal of Operational Research, Elsevier, vol. 268(1), pages 82-100.

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