Semi-online scheduling with GoS eligibility constraints

We consider semi-online scheduling problems on parallel machines to minimize the makespan subject to Grade of Service (GoS) eligibility constraints with different prior information: (1) the known total processing time, (2) the known largest processing time, (3) the known both total and largest proce...

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Veröffentlicht in:International journal of production economics Jg. 153; S. 204 - 214
Hauptverfasser: Lee, Kangbok, Hwang, Hark-Chin, Lim, Kyungkuk
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Amsterdam Elsevier B.V 01.07.2014
Elsevier Sequoia S.A
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ISSN:0925-5273, 1873-7579
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Abstract We consider semi-online scheduling problems on parallel machines to minimize the makespan subject to Grade of Service (GoS) eligibility constraints with different prior information: (1) the known total processing time, (2) the known largest processing time, (3) the known both total and largest processing times and (4) the known optimal makespan. For semi-online problems with different numbers of machines and information, we present a unified algorithm. Then we provide lower bounds of the competitive ratio for any algorithm and prove the competitive ratio of the proposed algorithm.
AbstractList We consider semi-online scheduling problems on parallel machines to minimize the makespan subject to Grade of Service (GoS) eligibility constraints with different prior information: (1) the known total processing time, (2) the known largest processing time, (3) the known both total and largest processing times and (4) the known optimal makespan. For semi-online problems with different numbers of machines and information, we present a unified algorithm. Then we provide lower bounds of the competitive ratio for any algorithm and prove the competitive ratio of the proposed algorithm.
Author Lim, Kyungkuk
Lee, Kangbok
Hwang, Hark-Chin
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  givenname: Hark-Chin
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  givenname: Kyungkuk
  surname: Lim
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  email: lkkuk@postech.ac.kr
  organization: BK21 Project, Sogang Business School, Shinsu-dong 1, Mapo-gu, Seoul 121-742, Republic of Korea
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Cites_doi 10.1137/S0097539798346135
10.1016/S0305-0548(03)00164-3
10.1007/s10951-013-0329-x
10.1016/S0167-6377(02)00164-5
10.1016/j.ijpe.2011.07.021
10.1007/s10878-007-9095-z
10.1016/j.tcs.2011.05.029
10.1016/j.orl.2005.11.004
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10.1006/jagm.1995.1008
10.1002/nav.20202
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10.1016/j.tcs.2009.08.014
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10.1002/nav.20286
10.1016/S0167-6377(98)00005-4
10.1016/j.ejor.2009.02.011
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Keywords Unified algorithm
Grade of Service (GoS)
Lower bound example
Semi-online scheduling
Competitive ratio
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Snippet We consider semi-online scheduling problems on parallel machines to minimize the makespan subject to Grade of Service (GoS) eligibility constraints with...
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SubjectTerms Algorithms
Competitive ratio
Economics
Grade of Service (GoS)
Job shops
Lower bound example
Lower bounds
Mathematical problems
Operations research
Optimization
Optimization algorithms
Production scheduling
Scheduling
Scheduling algorithms
Semi-online scheduling
Studies
Unified algorithm
Title Semi-online scheduling with GoS eligibility constraints
URI https://dx.doi.org/10.1016/j.ijpe.2014.03.001
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https://www.proquest.com/docview/1551073472
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