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An Evaluation of Reliability of a Two-Unit Degradable Computing System Using Parametric Non-linear Programming Approach with Fuzzy Parameters

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 259)

Abstract

In this paper, we consider the problem of evaluating system reliability using Markov modeling approach, in which Times to failure and Times to repair of the operating units are assumed to follow exponential distribution. For this purpose, a method has been developed to construct a fuzzy set as an estimator for unknown parameters in the proposed statistical model. Using α-cut approach, the membership functions of MTTF and Availability are then constructed using Non-Linear Programming approach. With the proposed approach, explicit closed-form expressions of the system characteristics are obtained by inverting the interval limits of α-cuts of membership functions.

Keywords

Markov modeling MTTF Availability Fuzzy sets Non-linear programming 

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Copyright information

© Springer India 2014

Authors and Affiliations

  1. 1.Department of Computer ApplictaionsGalgotia Institute of Management and TechnologyGreater NoidaIndia
  2. 2.School of ManagementGautam Budhha UniversityGreater NoidaIndia

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