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Two-Stage Flowshop Scheduling Problems With Identical And Batch Processors


    (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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