Batch scheduling of identical jobs on parallel identical machines

Baruch Mor; Gur Mosheiov

doi:10.1016/j.ipl.2012.06.020

Batch scheduling of identical jobs on parallel identical machines

Baruch Mor, Gur Mosheiov

Department of Economics and Business Administration

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We study the classical batch scheduling problem with identical job processing times and identical setups on parallel identical machines. We show that, similar to the single machine case, the solution is given by a closed form, consisting of identical decreasing arithmetic sequences of batch sizes on the different machines. A very close-to-optimal integer solution is obtained in O(m+n) time, where m is the number of machines, and n is the number of jobs.

Original language	English
Pages (from-to)	762-766
Number of pages	5
Journal	Information Processing Letters
Volume	112
Issue number	20
DOIs	https://doi.org/10.1016/j.ipl.2012.06.020
State	Published - 31 Oct 2012

Keywords

Batch scheduling
Flowtime
Parallel identical machines
Scheduling
Setup times

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10.1016/j.ipl.2012.06.020

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keywords = "Batch scheduling, Flowtime, Parallel identical machines, Scheduling, Setup times",

author = "Baruch Mor and Gur Mosheiov",

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.",

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N2 - We study the classical batch scheduling problem with identical job processing times and identical setups on parallel identical machines. We show that, similar to the single machine case, the solution is given by a closed form, consisting of identical decreasing arithmetic sequences of batch sizes on the different machines. A very close-to-optimal integer solution is obtained in O(m+n) time, where m is the number of machines, and n is the number of jobs.

AB - We study the classical batch scheduling problem with identical job processing times and identical setups on parallel identical machines. We show that, similar to the single machine case, the solution is given by a closed form, consisting of identical decreasing arithmetic sequences of batch sizes on the different machines. A very close-to-optimal integer solution is obtained in O(m+n) time, where m is the number of machines, and n is the number of jobs.

KW - Batch scheduling

KW - Flowtime

KW - Parallel identical machines

KW - Scheduling

KW - Setup times

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Batch scheduling of identical jobs on parallel identical machines

Abstract

Keywords

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