Fuzzy analysis for steady-state availability: a mathematical programming approach

Fuzzy analysis for steady-state availability: a mathematical programming approach

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Article ID: iaor20081214
Country: United Kingdom
Volume: 38
Issue: 8
Start Page Number: 909
End Page Number: 921
Publication Date: Dec 2006
Journal: Engineering Optimization
Authors: , ,
Keywords: engineering, fuzzy sets, programming: mathematical
Abstract:

Steady-state availability has been widely applied as a measure to evaluate the reliability characteristics of a repairable system. However, it is generally not realistic to make assumptions concerning failure time and repair time distributions. Thus, this article has developed a procedure to construct the membership function for fuzzy steady-state availability. Based on Zadeh's extension principle, a pair of mathematical programs is formulated to find α-cuts of fuzzy steady-state availability. An explicit closed-form expression for the membership function is derived by taking the inverse function of the α-cut. To illustrate the interpretation and practical value of fuzzy availability in real-world applications, several numerical examples are provided and discussed.

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