Two-unit repairable systems with common-cause shock failures and fuzzy parameters: parametric programming approach

This article, proposes a procedure to construct the membership functions of the system characteristics of a two-unit repairable system in series and parallel, which is subject to individual failures and common-cause shock failures. Time to individual failure and common-cause shock failure of the ope...

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Vydáno v:International journal of systems science Ročník 39; číslo 5; s. 449 - 459
Hlavní autoři: Huang, Hsin-I., Lin, Chuen-Horng, Ke, Jau-Chuan
Médium: Journal Article
Jazyk:angličtina
Vydáno: London Taylor & Francis Group 01.05.2008
Taylor & Francis
Témata:
Applied sciences
Availability
Computer science; control theory; systems
Control theory. Systems
Exact sciences and technology
Fuzzy sets
Mathematical programming
Mean time to failure
Operational research and scientific management
Operational research. Management science
Reliability theory. Replacement problems
Shock failures
Availability
Membership function
Fuzzy system
Shock failures
Exponential distribution
Parametric programming
Mean time to failure
Fuzzy programming
Series system
Fuzzy set
Fuzzy logic
Information use
Fuzzy sets
Interval matrix
Repair
Repairable system
Mathematical programming
ISSN:0020-7721, 1464-5319
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Shrnutí:This article, proposes a procedure to construct the membership functions of the system characteristics of a two-unit repairable system in series and parallel, which is subject to individual failures and common-cause shock failures. Time to individual failure and common-cause shock failure of the operating units are assumed to follow fuzzified exponential distributions. In addition, time to repair of the failed units also follow fuzzified exponential distributions. The α-cut approach is used to extract from the fuzzy repairable system a family of conventional crisp intervals for the desired system characteristics, determined with a set of parametric nonlinear programs using their membership functions. A numerical example is solved successfully to illustrate the practicality of the proposed approach. Since the system characteristics are governed by the membership functions, more information is provided for use by designers and practitioners. The successful extension of the parameter spaces to fuzzy environments permits the repairable system to have wider practical applications.
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ISSN:0020-7721
1464-5319
DOI:10.1080/00207720701778445