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, Volume 14, Issue 2, pp 165–172 | Cite as

Parallel-machine scheduling with release dates and rejection

  • Liqi Zhang
  • Lingfa LuEmail author
Research paper

Abstract

In this paper, we consider the parallel-machine scheduling problem with release dates and rejection. A job is either rejected, in which case a rejection penalty has to be paid, or accepted and processed on one of the m identical parallel machines. The objective is to minimize the sum of the makespan of the accepted jobs and the total rejection penalty of the rejected jobs. When m is a fixed constant, we provide a pseudo-polynomial-time algorithm and a fully polynomial-time approximation scheme for the problem. When m is arbitrary, we present a 2-approximation algorithm for the problem.

Keywords

Scheduling Rejection penalty Dynamic programming  FPTAS 

Mathematics Subject Classification

90B35 

Notes

Acknowledgments

This research was supported in part by NSFC (11571321), NSFC (U1504103) and NSF-Henan (15IRTSTHN006).

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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.College of Information and Management ScienceHenan Agricultural UniversityZhengzhouPeople’s Republic of China
  2. 2.School of Mathematics and StatisticsZhengzhou UniversityZhengzhouPeople’s Republic of China

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