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Parallel machine scheduling with additional resources: Notation, classification, models and solution methods

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  • Edis, Emrah B.
  • Oguz, Ceyda
  • Ozkarahan, Irem

Abstract

Majority of parallel machine scheduling studies consider machine as the only resource. However, in most real-life manufacturing environments, jobs may require additional resources, such as automated guided vehicles, machine operators, tools, pallets, dies, and industrial robots, for their handling and processing. This paper presents a review and discussion of studies on the parallel machine scheduling problems with additional resources. Papers are surveyed in five main categories: machine environment, additional resource, objective functions, complexity results and solution methods, and other important issues. The strengths and weaknesses of the literature together with open areas for future studies are also emphasized. Finally, extensions of integer programming models for two main classes of related problems are given and conclusions are drawn based on computational studies.

Suggested Citation

  • Edis, Emrah B. & Oguz, Ceyda & Ozkarahan, Irem, 2013. "Parallel machine scheduling with additional resources: Notation, classification, models and solution methods," European Journal of Operational Research, Elsevier, vol. 230(3), pages 449-463.
  • Handle: RePEc:eee:ejores:v:230:y:2013:i:3:p:449-463
    DOI: 10.1016/j.ejor.2013.02.042
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    References listed on IDEAS

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    1. 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.
    2. Maarten Vendrik & Christiane Schwieren, 2010. "Identification, screening and stereotyping in labour market discrimination," Journal of Economics, Springer, vol. 99(2), pages 141-171, March.
    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. Ozdamar, Linet & Ulusoy, Gunduz, 1994. "A local constraint based analysis approach to project scheduling under general resource constraints," European Journal of Operational Research, Elsevier, vol. 79(2), pages 287-298, December.
    5. Brucker, Peter & Kramer, Andreas, 1996. "Polynomial algorithms for resource-constrained and multiprocessor task scheduling problems," European Journal of Operational Research, Elsevier, vol. 90(2), pages 214-226, April.
    6. Cheng, T. C. E. & Sin, C. C. S., 1990. "A state-of-the-art review of parallel-machine scheduling research," European Journal of Operational Research, Elsevier, vol. 47(3), pages 271-292, August.
    7. Kellerer, H. & Strusevich, V. A., 2003. "Scheduling parallel dedicated machines under a single non-shared resource," European Journal of Operational Research, Elsevier, vol. 147(2), pages 345-364, June.
    8. Shabtay, Dvir & Kaspi, Moshe, 2006. "Parallel machine scheduling with a convex resource consumption function," European Journal of Operational Research, Elsevier, vol. 173(1), pages 92-107, August.
    9. Blazewicz, J. & Barcelo, J. & Kubiak, W. & Rock, H., 1986. "Scheduling tasks on two processors with deadlines and additional resources," European Journal of Operational Research, Elsevier, vol. 26(3), pages 364-370, September.
    10. Ruiz-Torres, Alex J. & Lopez, Francisco J. & Ho, Johnny C., 2007. "Scheduling uniform parallel machines subject to a secondary resource to minimize the number of tardy jobs," European Journal of Operational Research, Elsevier, vol. 179(2), pages 302-315, June.
    11. Richard L. Daniels & Barbara J. Hoopes & Joseph B. Mazzola, 1996. "Scheduling Parallel Manufacturing Cells with Resource Flexibility," Management Science, INFORMS, vol. 42(9), pages 1260-1276, September.
    12. Jacek Błażewicz & Klaus H. Ecker & Erwin Pesch & Günter Schmidt & Jan Węglarz, 2007. "Handbook on Scheduling," International Handbooks on Information Systems, Springer, number 978-3-540-32220-7, November.
    13. Richard Daniels & Barbara Hoopes & Joseph Mazzola, 1997. "An analysis of heuristics for the parallel-machine flexible-resource scheduling problem," Annals of Operations Research, Springer, vol. 70(0), pages 439-472, April.
    14. Chen, Jeng-Fung & Wu, Tai-Hsi, 2006. "Total tardiness minimization on unrelated parallel machine scheduling with auxiliary equipment constraints," Omega, Elsevier, vol. 34(1), pages 81-89, January.
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