Batch scheduling in differentiation flow shops for makespan minimisation |
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Authors: | Ting-Chih Huang |
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Affiliation: | Department of Information and Finance Management , Institute of Information Management, National Chiao Tung University , Taiwan |
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Abstract: | This paper considers a two-stage three-machine differentiation flow shop that comprises a common machine at stage 1 and two independent dedicated machines at stage 2. Two types of jobs are to be processed. All jobs must visit the stage-1 machine, and then the jobs of each type proceed to their dedicated machine for stage-2 processing. The stage-1 machine processes the jobs in batches, each of which, whenever formed, requires a constant setup time. The objective is to find a schedule that attains the minimum makespan. While the problem is strongly NP-hard, we investigate the case where the processing sequences of the two types of jobs are given and fixed. A polynomial-time dynamic programming algorithm is designed to solve this problem. We then deploy this algorithm to compute the lower bounds of the general problem. |
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Keywords: | flow shop scheduling mass customization scheduling makespan |
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