Multi-state start-up demonstration tests

Michelle L.Depoy Smith, William S. Griffith

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


Multistate start-up demonstration tests are proposed and analyzed using a Markov Chain approach. The new demonstration tests are generalizations of the CSTF, TSTF, and CSCF start-up demonstration tests discussed in the literature that have the important practical advantage of allowing for early termination when the quality of successful start-ups is exceptional. When the termination results in acceptance of the equipment, the use of a multi-state startup demonstration test results in an increase in the probability of an early termination of as much as. 35 over the optimal binary start-up test in cases studied. The Markov Chains methodology is used in the probabilistic analysis. Practical guidance on choosing tests, estimation, and comparisons of the various criteria are studied. The Markov Chain approach is then extended to study the non-i.i.d. case.

Original languageEnglish
Pages (from-to)99-117
Number of pages19
JournalInternational Journal of Reliability, Quality and Safety Engineering
Issue number2
StatePublished - Apr 2011


  • Bernoulli trials
  • Markov Chains
  • Quality control
  • acceptance testing
  • reliability
  • runs rules

ASJC Scopus subject areas

  • General Computer Science
  • Nuclear Energy and Engineering
  • Safety, Risk, Reliability and Quality
  • Aerospace Engineering
  • Energy Engineering and Power Technology
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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