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Bag-of-Tasks Scheduling with Rejection in Large Computing Systems

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  • Weidong Li

    (School of Mathematics and Statistics, Yunnan University, Kunming 650504, P. R. China)

Abstract

We are given a set of m identical parallel machines and a set of n jobs in large computing systems, where each job Jj consists of a bag of bj identical tasks with a processing time pj, and has a rejection penalty wj. Job Jj is either accepted in which case all the bj tasks must be processed by one of the machines, or rejected which incurs a rejection penalty wj. The problem of bag-of-tasks scheduling with rejection is to find a feasible schedule, so as to minimize the makespan plus the total rejection penalty of all rejected jobs. In this paper, we present a polynomial time approximation scheme.

Suggested Citation

  • Weidong Li, 2023. "Bag-of-Tasks Scheduling with Rejection in Large Computing Systems," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 40(04), pages 1-13, August.
    • Handle: RePEc:wsi:apjorx:v:40:y:2023:i:04:n:s0217595923400110
    DOI: 10.1142/S0217595923400110
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