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Two-Stage Flowshop Scheduling Problems With Identical And Batch Processors

Listed author(s):

    (Department of Mathematics, Shanghai University, Shanghai 200444, China)


    (Department of Mathematics, Shanghai University, Shanghai 200444, China)


    (Management School, Guangdong University of Technology, Guangdong 510520, China)

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    This paper considers minimizing total completion time in a two-stage flowshop scheduling problem with m identical parallel machines at Stage 1 and a batch processor at Stage 2. We prove that the problem when all jobs have same processing time at Stage 2 is NP – hard and gave a two-approximation algorithm in O(n3) time. In the case that all jobs have arbitrary processing time at Stage 1 and at Stage 2, we give an approximation algorithm after pointing out that in this case the problem is strongly NP – hard. Hundreds of instances of a numerical experiment show that the worst-case ratio of this approximation algorithm is nearing 2.

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    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal Asia-Pacific Journal of Operational Research.

    Volume (Year): 27 (2010)
    Issue (Month): 05 ()
    Pages: 617-627

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    Handle: RePEc:wsi:apjorx:v:27:y:2010:i:05:p:617-627
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