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The proportionate two-machine no-wait job shop scheduling problemAuthor-Name: Koulamas, Christos

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  • Panwalkar, S.S.

Abstract

We consider the two-machine no-wait job shop minimum makespan scheduling problem. We show that when each job has exactly two equal length operations (also called a proportionate job shop), the problem is solvable in O(nlog n) time. We also show that the proportionate problem becomes strongly NP-hard when some jobs are allowed to visit only one machine. Finally, we show that the proportionate problem with missing operations becomes solvable in O(nlog n) time when all missing operations are on the same machine.

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  • Panwalkar, S.S., 2016. "The proportionate two-machine no-wait job shop scheduling problemAuthor-Name: Koulamas, Christos," European Journal of Operational Research, Elsevier, vol. 252(1), pages 131-135.
    • Handle: RePEc:eee:ejores:v:252:y:2016:i:1:p:131-135
    DOI: 10.1016/j.ejor.2016.01.010
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    1. Sartaj Sahni & Yookun Cho, 1979. "Complexity of Scheduling Shops with No Wait in Process," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 448-457, November.
    2. Sriskandarajah, Chelliah & Ladet, Pierre, 1986. "Some no-wait shops scheduling problems: Complexity aspect," European Journal of Operational Research, Elsevier, vol. 24(3), pages 424-438, March.
    3. Panwalkar, S.S. & Koulamas, Christos, 2014. "The two-machine no-wait general and proportionate open shop makespan problem," European Journal of Operational Research, Elsevier, vol. 238(2), pages 471-475.
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    Cited by:

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    2. Allahverdi, Ali, 2016. "A survey of scheduling problems with no-wait in process," European Journal of Operational Research, Elsevier, vol. 255(3), pages 665-686.

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    Keywords

    Job shop; No-wait; Proportionate;
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