Scheduling problems in master-slave model

@article{Leung2008SchedulingPI,
  title={Scheduling problems in master-slave model},
  author={Joseph Y.-T. Leung and Hairong Zhao},
  journal={Annals of Operations Research},
  year={2008},
  volume={159},
  pages={215-231}
}
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… 

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