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Two-agent scheduling of time-dependent jobs

Author

Listed:
  • Cheng He

    (Henan University of Technology)

  • Joseph Y.-T. Leung

    (New Jersey Institute of Technology)

Abstract

We consider the problem of scheduling deteriorating jobs or shortening jobs with two agents A and B. We are interested in generating all Pareto-optimal schedules for the two criteria: (1) the total completion time of the jobs in A and the maximum cost of the jobs in B, and (2) the maximum cost of the jobs in A and the maximum cost of the jobs in B. We show that all Pareto-optimal schedules for both problems can be generated in polynomial time, whether the jobs are deteriorating or shortening.

Suggested Citation

  • Cheng He & Joseph Y.-T. Leung, 2017. "Two-agent scheduling of time-dependent jobs," Journal of Combinatorial Optimization, Springer, vol. 34(2), pages 362-377, August.
    • Handle: RePEc:spr:jcomop:v:34:y:2017:i:2:d:10.1007_s10878-016-9994-y
    DOI: 10.1007/s10878-016-9994-y
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    References listed on IDEAS

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    3. Wan, Long & Mei, Jiajie & Du, Jiangze, 2021. "Two-agent scheduling of unit processing time jobs to minimize total weighted completion time and total weighted number of tardy jobs," European Journal of Operational Research, Elsevier, vol. 290(1), pages 26-35.

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