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Flow shop non-idle scheduling and resource-constrained scheduling

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  • Yen-Shing Tsai
  • Bertrand Lin

Abstract

In a two-machine flow shop, the problem seeks to select and schedule jobs such that the processing of the selected jobs does not contain any idle time. The objective is to maximize the number of selected jobs. The problem is studied in the context of a resource-constrained scheduling problem. An $$O(n^2)$$ O ( n 2 ) dynamic programming algorithm is proposed. The problem becomes ordinary NP-hard when job weights are introduced. A heuristic is designed and its performance ratio is analysed to be 3. Copyright Springer Science+Business Media New York 2016

Suggested Citation

  • Yen-Shing Tsai & Bertrand Lin, 2016. "Flow shop non-idle scheduling and resource-constrained scheduling," Annals of Operations Research, Springer, vol. 238(1), pages 577-585, March.
  • Handle: RePEc:spr:annopr:v:238:y:2016:i:1:p:577-585:10.1007/s10479-015-2070-7
    DOI: 10.1007/s10479-015-2070-7
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    References listed on IDEAS

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