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

Authors:
Hsin-I. Huang;Chuen-Horng Lin;Jau-Chuan Ke
Affiliations:
Department of Computer Science and Information Engineering, National Taichung Institute of Technology, Taiwan, ROC;Department of Information Management, National Taichung Institute of Technology, Taiwan, ROC;Department of Applied Statistics, National Taichung Institute of Technology, Taiwan, ROC
Venue:
International Journal of Systems Science
Year:
2008

Citing 7
Cited 1

Fuzzy variables as a basis for a theory of fuzzy reliability in the possibility context

Fuzzy Sets and Systems
Posbist reliability behavior of typical systems with two types of failure

Fuzzy Sets and Systems
Fuzzy set theory—and its applications (3rd ed.)

Fuzzy set theory—and its applications (3rd ed.)
Ranking and defuzzification methods based on area compensation

Fuzzy Sets and Systems
Reliability of k—r-out-of-N:G system subject to random and common cause failure

Performance Evaluation
Fuzzy reliability analysis based on closed fuzzy numbers

Information Sciences: an International Journal
Probability and statistics with reliability, queuing and computer science applications

Probability and statistics with reliability, queuing and computer science applications

Bayesian assessing for a repairable system with standby imperfect switching and reboot delay

International Journal of Systems Science

Quantified Score

Hi-index	0.00

Visualization

Abstract

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.