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An FPTAS for uniform machine scheduling to minimize makespan with linear deterioration

Author

Listed:
  • Ming Liu

    (Tongji University)

  • Feifeng Zheng

    (Xi’an Jiaotong University)

  • Chengbin Chu

    (Ecole Centrale Paris)

  • Jiantong Zhang

    (Tongji University)

Abstract

This paper consider m uniform (parallel) machine scheduling with linear deterioration to minimize the makespan. In an uniform machine environment, all machines have different processing speeds. Linear deterioration means that job’s actual processing time is a linear increasing function on its execution starting time. We propose a fully polynomial-time approximation scheme (FPTAS) to show the problem is NP-hard in the ordinary sense.

Suggested Citation

  • Ming Liu & Feifeng Zheng & Chengbin Chu & Jiantong Zhang, 2012. "An FPTAS for uniform machine scheduling to minimize makespan with linear deterioration," Journal of Combinatorial Optimization, Springer, vol. 23(4), pages 483-492, May.
    • Handle: RePEc:spr:jcomop:v:23:y:2012:i:4:d:10.1007_s10878-010-9364-0
    DOI: 10.1007/s10878-010-9364-0
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    References listed on IDEAS

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    1. Bentao Su & Naiming Xie & Yingjie Yang, 2021. "Hybrid genetic algorithm based on bin packing strategy for the unrelated parallel workgroup scheduling problem," Journal of Intelligent Manufacturing, Springer, vol. 32(4), pages 957-969, April.

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