English, Article edition: Two simple constant ratio approximation algorithms for minimizing the total weighted completion time on a single machine with a fixed non-availability interval Kellerer, Hans; Kubzin, Mikhail A.; Strusevich, Vitaly A.

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Bookmark: http://trove.nla.gov.au/version/10683
Physical Description
  • article
Language
  • English

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Title
  • Two simple constant ratio approximation algorithms for minimizing the total weighted completion time on a single machine with a fixed non-availability interval
Author
  • Kellerer, Hans
  • Kubzin, Mikhail A.
  • Strusevich, Vitaly A.
Physical Description
  • article
Notes
  • In this note, we consider the scheduling problem of minimizing the sum of the weighted completion times on a single machine with one non-availability interval on the machine under the non-resumable scenario. Together with a recent 2-approximation algorithm designed by Kacem [I. Kacem, Approximation algorithm for the weighted flow-time minimization on a single machine with a fixed non-availability interval, Computers &​ Industrial Engineering 54 (2008) 401-410], this paper is the first successful attempt to develop a constant ratio approximation algorithm for this problem. We present two approaches to designing such an algorithm. Our best algorithm guarantees a worst-case performance ratio of 2+[epsilon].
  • Single machine scheduling Machine non-availability Total weighted completion time Approximation algorithm
  • RePEc:eee:ejores:v:199:y:2009:i:1:p:111-116
Language
  • English
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