期刊
NAVAL RESEARCH LOGISTICS
卷 67, 期 4, 页码 272-288出版社
WILEY
DOI: 10.1002/nav.21901
关键词
absolute worst-case error bound; approximation algorithm; flexible job shop scheduling; makespan
Job shop scheduling with a bank of machines in parallel is important from both theoretical and practical points of view. Herein we focus on the scheduling problem of minimizing the makespan in a flexible two-center job shop. The first center consists of one machine and the second has k parallel machines. An easy-to-perform approximate algorithm for minimizing the makespan with one-unit-time operations in the first center and k-unit-time operations in the second center is proposed. The algorithm has the absolute worst-case error bound of k - 1, and thus for k = 1 it is optimal. Importantly, it runs in linear time and its error bound is independent of the number of jobs to be processed. Moreover, the algorithm can be modified to give an optimal schedule for k = 2.
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