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Optimal assignment of high multiplicity flight plans to dispatchers

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  • A. Agnetis
  • S. Smriglio

Abstract

This paper addresses the problem of finding a feasible schedule of n jobs on m parallel machines, where each job has a deadline and some jobs are preassigned to some machine. This problem arises in the daily assignment of workload to a set of flight dispatchers, and it is strongly characterized by the fact that the job lengths may assume one out of k different values, for small k. We prove the problem to be NP‐complete for k = 2 and propose an effective implicit enumeration algorithm which allows efficiently solution a set of real‐life instances. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 359–376, 2000

Suggested Citation

  • A. Agnetis & S. Smriglio, 2000. "Optimal assignment of high multiplicity flight plans to dispatchers," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(5), pages 359-376, August.
    • Handle: RePEc:wly:navres:v:47:y:2000:i:5:p:359-376
    DOI: 10.1002/1520-6750(200008)47:53.0.CO;2-J
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    References listed on IDEAS

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    1. Dorit S. Hochbaum & Ron Shamir, 1991. "Strongly Polynomial Algorithms for the High Multiplicity Scheduling Problem," Operations Research, INFORMS, vol. 39(4), pages 648-653, August.
    2. Joseph Y.-T. Leung, 1982. "On Scheduling Independent Tasks with Restricted Execution Times," Operations Research, INFORMS, vol. 30(1), pages 163-171, February.
    3. Ho, Johnny C. & Chang, Yih-Long, 1995. "Minimizing the number of tardy jobs for m parallel machines," European Journal of Operational Research, Elsevier, vol. 84(2), pages 343-355, July.
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