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Scheduling problems in master-slave model

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  • Joseph Leung
  • Hairong Zhao

Abstract

We consider scheduling problems in the master slave model, which was introduced by Sahni in 1996. The goal is to minimize the makespan and the total completion time. It has been shown that the problem of minimizing makespan is NP-hard. Sahni and Vairaktarakis developed some approximation algorithms to generate schedules whose makespan is at most constant times the optimal. In this paper, we show that the problem of minimizing total completion time is NP-hard in the strong sense. Then we develop algorithms to generate schedules whose total completion time and makespan are both bounded by some constants times their optimal values. Copyright Springer Science+Business Media, LLC 2008

Suggested Citation

  • Joseph Leung & Hairong Zhao, 2008. "Scheduling problems in master-slave model," Annals of Operations Research, Springer, vol. 159(1), pages 215-231, March.
    • Handle: RePEc:spr:annopr:v:159:y:2008:i:1:p:215-231:10.1007/s10479-007-0271-4
    DOI: 10.1007/s10479-007-0271-4
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    1. Leslie A. Hall & Andreas S. Schulz & David B. Shmoys & Joel Wein, 1997. "Scheduling to Minimize Average Completion Time: Off-Line and On-Line Approximation Algorithms," Mathematics of Operations Research, INFORMS, vol. 22(3), pages 513-544, August.
    2. Michael A. Langston, 1987. "Interstage Transportation Planning in the Deterministic Flow-Shop Environment," Operations Research, INFORMS, vol. 35(4), pages 556-564, August.
    3. Linus Schrage, 1968. "Letter to the Editor—A Proof of the Optimality of the Shortest Remaining Processing Time Discipline," Operations Research, INFORMS, vol. 16(3), pages 687-690, June.
    4. Cheng, T. C. E. & Sin, C. C. S., 1990. "A state-of-the-art review of parallel-machine scheduling research," European Journal of Operational Research, Elsevier, vol. 47(3), pages 271-292, August.
    5. Sriskandarajah, C. & Sethi, S. P., 1989. "Scheduling algorithms for flexible flowshops: Worst and average case performance," European Journal of Operational Research, Elsevier, vol. 43(2), pages 143-160, November.
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