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Parallel‐Batch Scheduling with Two Models of Deterioration to Minimize the Makespan

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  • Cuixia Miao

Abstract

We consider the bounded parallel‐batch scheduling with two models of deterioration, in which the processing time of the first model is pj = aj + αt and of the second model is pj = a + αjt. The objective is to minimize the makespan. We present O(n log n) time algorithms for the single‐machine problems, respectively. And we propose fully polynomial time approximation schemes to solve the identical‐parallel‐machine problem and uniform‐parallel‐machine problem, respectively.

Suggested Citation

  • Cuixia Miao, 2014. "Parallel‐Batch Scheduling with Two Models of Deterioration to Minimize the Makespan," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:495187
    DOI: 10.1155/2014/495187
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    References listed on IDEAS

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    1. Jinjiang Yuan & Shisheng Li & Ji Tian & Ruyan Fu, 2009. "A best on-line algorithm for the single machine parallel-batch scheduling with restricted delivery times," Journal of Combinatorial Optimization, Springer, vol. 17(2), pages 206-213, February.
    2. Sid Browne & Uri Yechiali, 1990. "Scheduling Deteriorating Jobs on a Single Processor," Operations Research, INFORMS, vol. 38(3), pages 495-498, June.
    3. Li, Shisheng & Ng, C.T. & Cheng, T.C.E. & Yuan, Jinjiang, 2011. "Parallel-batch scheduling of deteriorating jobs with release dates to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 210(3), pages 482-488, May.
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