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Scheduling to minimize the maximum total completion time per machine

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Listed:
  • Wan, Long
  • Ding, Zhihao
  • Li, Yunpeng
  • Chen, Qianqian
  • Tan, Zhiyi

Abstract

In this paper, we study the problem of minimizing the maximum total completion time per machine on m parallel and identical machines. We prove that the problem is strongly NP-hard if m is a part of the input. When m is a given number, a pseudo-polynomial time dynamic programming is proposed. We also show that the worst-case ratio of SPT is at most 2.608 and at least 2.5366 when m is sufficiently large. We further present another algorithm which has a worst-case ratio of 2.

Suggested Citation

  • Wan, Long & Ding, Zhihao & Li, Yunpeng & Chen, Qianqian & Tan, Zhiyi, 2015. "Scheduling to minimize the maximum total completion time per machine," European Journal of Operational Research, Elsevier, vol. 242(1), pages 45-50.
    • Handle: RePEc:eee:ejores:v:242:y:2015:i:1:p:45-50
    DOI: 10.1016/j.ejor.2014.09.063
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    References listed on IDEAS

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