Operations Research Transactions ›› 2022, Vol. 26 ›› Issue (3): 92-108.doi: 10.15960/j.cnki.issn.1007-6093.2022.03.007

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On the worst-case ratio of algorithm SPT for two uniform machines scheduling with minisum criteria

Mingyang GONG1, Zhiyi TAN1,*(), Yujie YAN1   

  1. 1. School of Mathematical Science, Zhejiang University, Hangzhou 310027, Zhejiang, China
  • Received:2022-01-31 Online:2022-09-15 Published:2022-09-07
  • Contact: Zhiyi TAN E-mail:tanzy@zju.edu.cn
  • About author:TAN Zhiyi, E-mail: tanzy@zju.edu.cn
  • Supported by:
    National Natural Science Foundation of China(12071427)

Abstract:

This paper studies the scheduling problem on two uniform machines with objective of minimizing the total completion time. The parametric worst-case ratio of the algorithm SPT is investigated. The gap between the overall upper bound and lower bound decreases from 0.430 5 to 0.014 7.

Key words: scheduling, worst-case ratio, uniform machines, price of anarchyc

CLC Number: