Vertex method for fuzzy availability computation of semi-Markovian mechatronic system

Authors:
A. K. Verma;A. Srividya;Rajesh Prabhu Gaonkar
Affiliations:
Reliability Engineering Group, Indian Institute of Technology Bombay, Powai, Mumbai, India;Reliability Engineering Group, Indian Institute of Technology Bombay, Powai, Mumbai, India;Mechanical Engineering Department, College of Engineering, Goa Farmagudi, Ponda, Goa, India
Venue:
MS'06 Proceedings of the 17th IASTED international conference on Modelling and simulation
Year:
2006

Citing 3
Cited 0

Fuzzy systems theory and its applications

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Fuzzy Mathematical Models in Engineering and Management Science
Computing availability using hybrid approach and single value fuzzy simulation

International Journal of Modelling and Simulation

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Abstract

This paper discusses fuzzy availability computation/ evaluation of a semi-Markovian mechatronic system using vertex method. Vertex method is a upcoming method that accounts for all possible combinations of vertices (extreme points at α-cut) of fuzzy sets. Conversion of semi-Markov to Markov model is first stated from the literature and vertex method is then used for fuzzy availability computation. The results are then compared with the results of α-cut method from the literature. It is found that α-cut method gives narrow bounds of availability and vertex method gives more realistic results.