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: | Ke Jau-Chuan, Lin Chuen-Horng, Huang Hsin-I. |
Keywords: | engineering, fuzzy sets, programming: mathematical |
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.