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 language | English |
|---|---|
| Pages (from-to) | 570-574 |
| Number of pages | 5 |
| Journal | European Journal of Operational Research |
| Volume | 189 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Sep 1 2008 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Reliability tests for Weibull distribution with variational shape parameter based on sudden death lifetime data
AU - Arizono, Ikuo
AU - Kawamura, Yuuki
AU - Takemoto, Yasuhiko
PY - 2008/9/1
Y1 - 2008/9/1
N2 - 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.
AB - 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.
KW - Acceptance sampling plan
KW - Chi-square approximation
KW - Mean time to failure
KW - Reliability test
KW - Sudden death testing
KW - Weibull distribution
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UR - http://www.scopus.com/inward/citedby.url?scp=39649116030&partnerID=8YFLogxK
U2 - 10.1016/j.ejor.2007.05.043
DO - 10.1016/j.ejor.2007.05.043
M3 - Article
VL - 189
SP - 570
EP - 574
JO - European Journal of Operational Research
JF - European Journal of Operational Research
SN - 0377-2217
IS - 2
ER -