On the estimation of reliability of k-out-of-n systems

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Abstract

This paper presents a uniformly minimum variance unbiased estimator and the maximum likelihood estimates of reliability of k-out-of-n systems which are composed of n independent and identically distributed components with exponential lifetimes. The system is operational if and only if at least k of out the n components are operational. The reliability estimation results for the failure of uncensored cases (where there are m units put on test which is terminated when all the units have failed) and censored cases (when test termination is done upon the failure of r pre-assigned units) will be discussed. An application to illustrate the reliability estimation prediction for the power usages of computer system with quad-core, 8 GB of Ram, and a GeForce 9800GX-2 graphics card to perform various complex applications is discussed.

Original languageEnglish (US)
Pages (from-to)32-35
Number of pages4
JournalInternational Journal of Systems Assurance Engineering and Management
Volume1
Issue number1
DOIs
StatePublished - Mar 2010

All Science Journal Classification (ASJC) codes

  • Safety, Risk, Reliability and Quality
  • Strategy and Management

Keywords

  • Exponential distribution
  • Maximum likelihood estimate
  • Minimum variance unbiased
  • Reliability estimation
  • UMVUE
  • k-out-of-n system

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