Title
Reliability-Based Measures For A System With An Uncertain Parameter Environment
Abstract
This article proposes a procedure to construct membership functions of the system characteristics of a repairable system with one primary machine, one standby machine and an unreliable service station. Failure and repair times of both the operating and standby machines are assumed to follow fuzzified exponential distributions. In addition, the failure and repair times of the service station also follow fuzzified exponential distributions. The alpha-cut approach is used to extract a family of conventional crisp intervals for the desired system characteristics from the fuzzy repairable system, determined with a set of parametric nonlinear programs using their membership functions. A numerical example successfully illustrates the practicality of the proposed approach. Because 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.
Year
DOI
Venue
2012
10.1080/00207721.2010.545489
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Keywords
Field
DocType
availability, membership functions, mean time to failure, uncertain parameters, unreliable service station
Mean time between failures,Mathematical optimization,Nonlinear system,Exponential function,Control theory,Fuzzy logic,Parametric statistics,Reliability engineering,Mathematics
Journal
Volume
Issue
ISSN
43
6
0020-7721
Citations 
PageRank 
References 
5
0.46
16
Authors
3
Name
Order
Citations
PageRank
Chuen-Horng Lin123115.93
Jau-Chuan Ke234844.17
Hsin-I. Huang3435.05