English, Article edition: Single machine scheduling with release dates and rejection Zhang, Liqi; Lu, Lingfa; Yuan, Jinjiang

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Physical Description
  • article
Language
  • English

Edition details

Title
  • Single machine scheduling with release dates and rejection
Author
  • Zhang, Liqi
  • Lu, Lingfa
  • Yuan, Jinjiang
Physical Description
  • article
Notes
  • In this paper, we consider the single 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 the machine. The objective is to minimize the sum of the makespan of the accepted jobs and the total rejection penalty of the rejected jobs. We show that the problem is NP-hard in the ordinary sense. Then we provide two pseudo-polynomial-time algorithms. Consequently, two special cases can be solved in polynomial-time. Finally, a 2-approximation algorithm and a fully polynomial-time approximation scheme are given for the problem.
  • Scheduling Rejection penalty Fully polynomial-time approximation scheme
  • RePEc:eee:ejores:v:198:y:2009:i:3:p:975-978
Language
  • English
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