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List scheduling for jobs with arbitrary release times and similar lengths

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Abstract

This paper considers the problem of on-line scheduling a list of independent jobs in which each job has an arbitrary release time and length in [1,r] with r≥1 on m parallel identical machines. For the list scheduling algorithm, we give an upper bound of the competitive ratio for any m≥1 and show that the upper bound is tight when m=1. When m=2, we present a tight bound for r≥4. For r<4, we give a lower bound and show that 2 provides an upper bound.

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Authors and Affiliations

  1. Department of Mathematics, Hunan Normal University, Changsha, 410081, Hunan Provence, China

    Rongheng Li

  2. Department of Industrial and Systems Engineering, National University of Singapore, 1 Engineering Drive 2, Singapore, 117576, Singapore

    Huei-Chuen Huang

Authors
  1. Rongheng Li
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  2. Huei-Chuen Huang
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Corresponding author

Correspondence to Huei-Chuen Huang.

Additional information

Li’s work was supported in part by the National Natural Science Foundation of China (No. 10771060).

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Li, R., Huang, HC. List scheduling for jobs with arbitrary release times and similar lengths. J Sched 10, 365–373 (2007). https://doi.org/10.1007/s10951-007-0042-8

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  • DOI: https://doi.org/10.1007/s10951-007-0042-8

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