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Scheduling jobs in open shopswith limited machine availability

Published online by Cambridge University Press:  15 December 2002

Jacek Błażewicz  and
Piotr Formanowicz
Jacek Błażewicz
Affiliation:
Institute of Computing Science, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland and Institute of Bioorganic Chemistry, Polish Academy of Sciences, Noskowskiego 12/14, 61-704 Poznań, Poland; [email protected].
Piotr Formanowicz
Affiliation:
Institute of Computing Science, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland and Institute of Bioorganic Chemistry, Polish Academy of Sciences, Noskowskiego 12/14, 61-704 Poznań, Poland; [email protected].
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Abstract

In this paper, open shop scheduling problems with limited machine availabilityare studied. Such a limited availability of machines may appear inmany real-life situations, e.g. as preventive maintenance activities.Three types of jobs are distinguished: non-preemptable,resumable and preemptable. An operation of a resumable job if not completedbefore a non-availability period of a machine may be suspended and continuedwithout additional cost when the machine becomes available.In the paper, results are given for the scheduling problems associated withthe three types of jobs.Forpreemptable jobs polynomial-time algorithms based on the two-phase methodare proposed.

Keywords

Limited machine availabilitycomputational complexitytwo-phase methodmathematical programming.
Type
Research Article
Information
RAIRO - Operations Research , Volume 36 , Issue 2 , April 2002 , pp. 149 - 156
Copyright
© EDP Sciences, 2002

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