English, Article edition: AN EXACT APPROACH FOR THE SINGLE MACHINE SCHEDULING PROBLEM WITH LINEAR EARLY AND QUADRATIC TARDY PENALTIES JORGE M. S. VALENTE

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Bookmark: http://trove.nla.gov.au/version/131414
Physical Description
  • article
Language
  • English

Edition details

Title
  • AN EXACT APPROACH FOR THE SINGLE MACHINE SCHEDULING PROBLEM WITH LINEAR EARLY AND QUADRATIC TARDY PENALTIES
Author
  • JORGE M. S. VALENTE
Physical Description
  • article
Notes
  • In this paper, we consider the single machine scheduling problem with linear earliness and quadratic tardiness costs, and no machine idle time. We propose a lower bounding procedure based on the relaxation of the jobs' completion times. Optimal branch-and-bound algorithms are then presented. These algorithms incorporate the proposed lower bound, as well as an insertion-based dominance test.The branch-and-bound procedures are tested on a wide set of randomly generated problems. The computational results show that the branch-and-bound algorithms are capable of optimally solving, within reasonable computation times, instances with up to 20 jobs.
  • Scheduling, single machine, linear earliness, quadratic tardiness, lower bound, branch-and-bound
  • RePEc:wsi:apjorx:v:25:y:2008:i:02:p:169-186
Language
  • English
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