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A branch‐and‐price algorithm for parallel machine scheduling with time windows and job priorities

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  • Jonathan F. Bard
  • Siwate Rojanasoonthon

Abstract

This paper presents a branch‐and‐price algorithm for scheduling n jobs on m nonhomogeneous parallel machines with multiple time windows. An additional feature of the problem is that each job falls into one of ρ priority classes and may require two operations. The objective is to maximize the weighted number of jobs scheduled, where a job in a higher priority class has “infinitely” more weight or value than a job in a lower priority class. The methodology makes use of a greedy randomized adaptive search procedure (GRASP) to find feasible solutions during implicit enumeration and a two‐cycle elimination heuristic when solving the pricing subproblems. Extensive computational results are presented based on data from an application involving the use of communications relay satellites. Many 100‐job instances that were believed to be beyond the capability of exact methods, were solved within minutes. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2006

Suggested Citation

  • Jonathan F. Bard & Siwate Rojanasoonthon, 2006. "A branch‐and‐price algorithm for parallel machine scheduling with time windows and job priorities," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(1), pages 24-44, February.
    • Handle: RePEc:wly:navres:v:53:y:2006:i:1:p:24-44
    DOI: 10.1002/nav.20118
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    References listed on IDEAS

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    Cited by:

    1. Xiaoyun Xiong & Peng Zhou & Yunqiang Yin & T. C. E. Cheng & Dengfeng Li, 2019. "An exact branch‐and‐price algorithm for multitasking scheduling on unrelated parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(6), pages 502-516, September.
    2. Lotte Berghman & Roel Leus & Frits Spieksma, 2014. "Optimal solutions for a dock assignment problem with trailer transportation," Annals of Operations Research, Springer, vol. 213(1), pages 3-25, February.
    3. Yunqiang Yin & Youhua Chen & Kaida Qin & Dujuan Wang, 2019. "Two-agent scheduling on unrelated parallel machines with total completion time and weighted number of tardy jobs criteria," Journal of Scheduling, Springer, vol. 22(3), pages 315-333, June.

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