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Assessing the quality of heuristic solutions to parallel machines min-max scheduling problems

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Listed:
  • Agnetis, Alessandro
  • Alfieri, Arianna
  • Nicosia, Gaia

Abstract

In this paper, we propose a tool for testing the quality of heuristic solutions for scheduling problems with a min-max objective function, such as, for example, the minimization of maximum tardiness or makespan. We present a bounding scheme which is powerful enough to allow an accurate quality assessment of the available solutions in most cases of practical relevance. In order to validate the effectiveness of our assessment approach, we discuss a real-life application and perform experimental tests on the actual applicative scenario and on possible future scenarios.

Suggested Citation

  • Agnetis, Alessandro & Alfieri, Arianna & Nicosia, Gaia, 2009. "Assessing the quality of heuristic solutions to parallel machines min-max scheduling problems," International Journal of Production Economics, Elsevier, vol. 122(2), pages 755-762, December.
    • Handle: RePEc:eee:proeco:v:122:y:2009:i:2:p:755-762
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    References listed on IDEAS

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    1. Leung, Joseph Y.-T. & Li, Chung-Lun, 2008. "Scheduling with processing set restrictions: A survey," International Journal of Production Economics, Elsevier, vol. 116(2), pages 251-262, December.
    2. Li, Kunpeng & Sivakumar, Appa Iyer & Ganesan, Viswanath Kumar, 2008. "Analysis and algorithms for coordinated scheduling of parallel machine manufacturing and 3PL transportation," International Journal of Production Economics, Elsevier, vol. 115(2), pages 482-491, October.
    3. Su, Ling-Huey & Lien, Chun-Yuan, 2009. "Scheduling parallel machines with resource-dependent processing times," International Journal of Production Economics, Elsevier, vol. 117(2), pages 256-266, February.
    4. Nait Tahar, Djamel & Yalaoui, Farouk & Chu, Chengbin & Amodeo, Lionel, 2006. "A linear programming approach for identical parallel machine scheduling with job splitting and sequence-dependent setup times," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 63-73, February.
    5. Alessandro Agnetis & Arianna Alfieri & Gaia Nicosia, 2009. "Single-Machine Scheduling Problems with Generalized Preemption," INFORMS Journal on Computing, INFORMS, vol. 21(1), pages 1-12, February.
    6. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
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