Mixed batch scheduling with non-identical job sizes to minimize makespan: Mixed batch scheduling with non-identical job sizes...: G.-Q. Fan et al.
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| Název: | Mixed batch scheduling with non-identical job sizes to minimize makespan: Mixed batch scheduling with non-identical job sizes...: G.-Q. Fan et al. |
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| Autoři: | Fan, Guo-Qiang1 (AUTHOR) gqfan@xidian.edu.cn, Wang, Jun-Qiang2,3 (AUTHOR) wangjq@nwpu.edu.cn, Liu, Zhixin4 (AUTHOR) zhixin@umich.edu |
| Zdroj: | OR Spectrum. Mar2025, Vol. 47 Issue 1, p105-127. 23p. |
| Témata: | *BATCH processing, *PRODUCTION scheduling, *ALGORITHMS, *SCHEDULING, *MACHINERY |
| Abstrakt: | This paper studies a mixed batch scheduling problem with non-identical job sizes to minimize the makespan. Multiple jobs can be processed simultaneously as a batch on a mixed batch machine as long as the total size of the jobs in the batch does not exceed the machine capacity. The processing time of a batch is the weighted sum of the maximum processing time and total processing time of the jobs in the batch. We show that the problem is strongly NP-hard even with a single machine, and analyze the worst-case performance ratio of the longest processing time first fit (LPTFF) algorithm. Furthermore, we present the longest processing time first fit greedy (LPTFFG) algorithm, and show that the worst-case performance ratio of algorithm LPTFFG is better than that of algorithm LPTFF. Computational experiments show that algorithm LPTFFG fits the case with a large number of machines, small job sizes, and small weight of the maximum processing time. [ABSTRACT FROM AUTHOR] |
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| Databáze: | Business Source Index |
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