Optimal simple step-stress plan for Khamis-Higgins model

Author

Alhadeed, Abdulla A. ; Yang, Shie-Shien

Author_Institution

Dept. of Stat., United Arab Emirates Univ., Al-Ain, United Arab Emirates

Volume

51

Issue

2

fYear

2002

fDate

6/1/2002 12:00:00 AM

Firstpage

212

Lastpage

215

Abstract

Optimal times of changing stress-level for the simple step-stress plans under the Khamis-Higgins model (an alternative to the Weibull step-stress model) are determined for a wide range of values of the model parameters. The applicability of the "optimal time of changing stress" formula obtained by Khamis-Higgins for a known shape parameter to the case of unknown shape parameter is examined. Their formula provides a reasonable approximation to the actual optimal times of changing stress levels within a certain range of values of the stress levels and model parameters but a poor approximation outside of that range

Keywords

Weibull distribution; life testing; maximum likelihood estimation; stress analysis; Khamis-Higgins model; Weibull step-stress model; accelerated test; maximum likelihood estimation; model parameters; optimal simple step-stress plan; unknown shape parameter; Acceleration; Employee welfare; Life estimation; Life testing; Maximum likelihood estimation; Shape; Statistical distributions; Statistics; Stress; Weibull distribution;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/TR.2002.1011527

Filename

1011527