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Competitive two-agent scheduling with release dates and preemption on a single machine

Author

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  • Shi-Sheng Li

    (Department of Information and Computation Science, Zhongyuan University of Technology)

  • Ren-Xia Chen

    (College of Science, Zhongyuan University of Technology)

Abstract

We study several competitive two-agent scheduling problems with release dates and preemption on a single machine, where the scheduling criterion of the first agent is regular and of the sum-form and the scheduling criterion of the second criterion is regular and of the max-form or the weighted number of tardy jobs. Two variants of the problems are investigated. One is the restricted version, in which the goal is to find a feasible schedule so that the objective value of the first agent is minimized subject to the restriction that the objective value of the second agent does not exceed a given threshold value. The other one is the Pareto version, in which the goal is to find all the Pareto-optimal points and their corresponding Pareto-optimal schedules. We design polynomial-time and pseudo-polynomial-time algorithms for each of the considered problems.

Suggested Citation

  • Shi-Sheng Li & Ren-Xia Chen, 2023. "Competitive two-agent scheduling with release dates and preemption on a single machine," Journal of Scheduling, Springer, vol. 26(3), pages 227-249, June.
    • Handle: RePEc:spr:jsched:v:26:y:2023:i:3:d:10.1007_s10951-023-00779-5
    DOI: 10.1007/s10951-023-00779-5
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    References listed on IDEAS

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