Reliability tests for Weibull distribution with variational shape parameter based on sudden death lifetime data

Ikuo Arizono, Yuuki Kawamura, Yasuhiko Takemoto

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

In the traditional design of reliability tests for assuring the mean time to failure (MTTF) in Weibull distribution with shape and scale parameters, it has been assumed that the shape parameter in the acceptable and rejectable populations is the same fixed number. For the purpose of expanding applicability of the reliability testing, Hisada and Arizono have developed a reliability sampling scheme for assuring MTTF in the Weibull distribution under the conditions that shape parameters in the both populations do not necessarily coincide, and are specified as interval values, respectively. Then, their reliability test is designed using the complete lifetime data. In general, the reliability testing based on the complete lifetime data requires the long testing time. As a consequence, the testing cost becomes sometimes expensive. In this paper, for the purpose of an economical plan of the reliability test, we consider the sudden death procedure for assuring MTTF in Weibull distribution with variational shape parameter.

Original languageEnglish
Pages (from-to)570-574
Number of pages5
JournalEuropean Journal of Operational Research
Volume189
Issue number2
DOIs
Publication statusPublished - Sep 1 2008
Externally publishedYes

Fingerprint

Sudden Death
Lifetime Data
Weibull distribution
Weibull Distribution
Shape Parameter
Mean Time to Failure
death
Testing
Scale Parameter
Sampling
Interval
time
Costs
costs
Values

Keywords

  • Acceptance sampling plan
  • Chi-square approximation
  • Mean time to failure
  • Reliability test
  • Sudden death testing
  • Weibull distribution

ASJC Scopus subject areas

  • Information Systems and Management
  • Management Science and Operations Research
  • Statistics, Probability and Uncertainty
  • Applied Mathematics
  • Modelling and Simulation
  • Transportation

Cite this

Reliability tests for Weibull distribution with variational shape parameter based on sudden death lifetime data. / Arizono, Ikuo; Kawamura, Yuuki; Takemoto, Yasuhiko.

In: European Journal of Operational Research, Vol. 189, No. 2, 01.09.2008, p. 570-574.

Research output: Contribution to journalArticle

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