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two-phase method

RAIRO - Operations Research (1)

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Scheduling jobs in open shopswith limited machine availability
Jacek Błażewicz, Piotr Formanowicz
Journal:

RAIRO - Operations Research / Volume 36 / Issue 2 / April 2002

Published online by Cambridge University Press:

15 December 2002, pp. 149-156

Print publication:

April 2002
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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.