Scheduling jobs in open shops with limited machine availability

Jacek Błażewicz; Piotr Formanowicz

RAIRO - Operations Research (2010)

  • Volume: 36, Issue: 2, page 149-156
  • ISSN: 0399-0559

Abstract

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In this paper, open shop scheduling problems with limited machine availability are studied. Such a limited availability of machines may appear in many 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 completed before a non-availability period of a machine may be suspended and continued without additional cost when the machine becomes available. In the paper, results are given for the scheduling problems associated with the three types of jobs. For preemptable jobs polynomial-time algorithms based on the two-phase method are proposed.

How to cite

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Błażewicz, Jacek, and Formanowicz, Piotr. "Scheduling jobs in open shops with limited machine availability." RAIRO - Operations Research 36.2 (2010): 149-156. <http://eudml.org/doc/105266>.

@article{Błażewicz2010,
abstract = { In this paper, open shop scheduling problems with limited machine availability are studied. Such a limited availability of machines may appear in many 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 completed before a non-availability period of a machine may be suspended and continued without additional cost when the machine becomes available. In the paper, results are given for the scheduling problems associated with the three types of jobs. For preemptable jobs polynomial-time algorithms based on the two-phase method are proposed. },
author = {Błażewicz, Jacek, Formanowicz, Piotr},
journal = {RAIRO - Operations Research},
keywords = {Limited machine availability; computational complexity; two-phase method; mathematical programming.; two-phase method; mathematical programming},
language = {eng},
month = {3},
number = {2},
pages = {149-156},
publisher = {EDP Sciences},
title = {Scheduling jobs in open shops with limited machine availability},
url = {http://eudml.org/doc/105266},
volume = {36},
year = {2010},
}

TY - JOUR
AU - Błażewicz, Jacek
AU - Formanowicz, Piotr
TI - Scheduling jobs in open shops with limited machine availability
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 36
IS - 2
SP - 149
EP - 156
AB - In this paper, open shop scheduling problems with limited machine availability are studied. Such a limited availability of machines may appear in many 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 completed before a non-availability period of a machine may be suspended and continued without additional cost when the machine becomes available. In the paper, results are given for the scheduling problems associated with the three types of jobs. For preemptable jobs polynomial-time algorithms based on the two-phase method are proposed.
LA - eng
KW - Limited machine availability; computational complexity; two-phase method; mathematical programming.; two-phase method; mathematical programming
UR - http://eudml.org/doc/105266
ER -

References

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