Batch scheduling on uniform machines to minimize total flow-time

Baruch Mor, Gur Mosheiov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The solution of the classical batch scheduling problem with identical jobs and setup times to minimize flowtime is known for twenty five years. In this paper we extend this result to a setting of two uniform machines with machine-dependent setup times. We introduce an O(n) solution for the relaxed version (allowing non-integer batch sizes), followed by a simple rounding procedure to obtain integer batch sizes.

Original languageEnglish
Pages (from-to)571-575
Number of pages5
JournalComputers and Operations Research
Volume39
Issue number3
DOIs
StatePublished - Mar 2012

Bibliographical note

Funding Information:
The second author is the Charles Rosen Professor of Management, The School of Business Administration, The Hebrew University. This paper was supported in part by the Recanati Fund of the School of Business Administration, The Hebrew University, Jerusalem, Israel .

Keywords

  • Batch scheduling
  • Flowtime
  • Uniform machines

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