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 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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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. |
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| 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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| 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 10.1631/jzus.2006.A0309 10.1006/jagm.1995.1008 10.1002/nav.20202 10.1007/s006070050020 10.1016/j.tcs.2009.08.014 10.1016/j.ijpe.2008.09.003 10.1007/s10288-010-0149-1 10.1016/j.tcs.2004.11.018 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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| 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 |
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