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Zbl 1006.68018
Yao, Jing-Shing; Lin, Feng-Tse
Constructing a fuzzy flow-shop sequencing model based on statistical data. (English)
[J] Int. J. Approx. Reasoning 29, No.3, 215-234 (2002). ISSN 0888-613X

Summary: This study investigated an approach for incorporating statistics with fuzzy sets in the flow-shop sequencing problem. This work is based on the assumption that the precise value for the processing time of each job is unknown, but that some sample data are available. A combination of statistics and fuzzy sets provides a powerful tool for modeling and solving this problem. Our work intends to extend the crisp flow-shop sequencing problem into a generalized fuzzy model that would be useful in practical situations. In this study, we constructed a fuzzy flow-shop sequencing model based on statistical data, which uses level ($1- \alpha$, $1- \beta$) interval-valued fuzzy numbers to represent the unknown job processing time. Our study shows that this fuzzy flow-shop model is an extension of the crisp flow-shop problem and the results obtained from the fuzzy flow-shop model provides the same job sequence as that of the crisp problem.

MSC 2000:: *68M20 Performance evaluation of computer systems, etc.

Keywords: fuzzy sets; flow-shop sequencing

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Zentralblatt MATH Berlin [Germany]