Two-Stage Flowshop Scheduling Problems With Identical And Batch Processors
AbstractThis 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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Bibliographic InfoArticle provided by World Scientific Publishing Co. Pte. Ltd. in its journal Asia-Pacific Journal of Operational Research.
Volume (Year): 27 (2010)
Issue (Month): 05 ()
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Web page: http://www.worldscinet.com/apjor/apjor.shtml
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