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An efficient algorithm for minimizing earliness, tardiness, and due-date costs for equal-sized jobs

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

We consider a single-machine scheduling problem with equal-sized jobs. The objective is to minimize the maximum weighted earliness-tardiness and due-date costs. We present an algorithm to solve this problem. Our algorithm makes use of bottleneck jobs and priority queues, and has a computational complexity of O (n4 log n). This complexity is a significant improvement of the existing algorithm in the literature. © 2007 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)3612-3619
JournalComputers and Operations Research
Volume35
Issue number11
DOIs
Publication statusPublished - Nov 2008
Externally publishedYes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Funding

The authors would like to thank two anonymous referees for their helpful comments and suggestions. This research was supported in part by the Recanati Fund of The School of Business Administration, The Hebrew University, Jerusalem, Israel and by Grant PolyU 5222/06E from the Hong Kong Research Grants Council.

Research Keywords

  • Analysis of algorithms
  • Due-date assignment
  • Earliness-tardiness
  • Scheduling

RGC Funding Information

  • RGC-funded

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