Optimal simple step-stress plan for Khamis-Higgins model

Abdulla A. Alhadeed; Shie Shien Yang

doi:10.1109/TR.2002.1011527

Optimal simple step-stress plan for Khamis-Higgins model

Abdulla A. Alhadeed, Shie Shien Yang

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

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.

Original language	English
Pages (from-to)	212-215
Number of pages	4
Journal	IEEE Transactions on Reliability
Volume	51
Issue number	2
DOIs	https://doi.org/10.1109/TR.2002.1011527
Publication status	Published - Jun 1 2002

Keywords

Accelerated test
Maximum likelihood estimation
Step-stress
Weibull life distribution

ASJC Scopus subject areas

Safety, Risk, Reliability and Quality
Electrical and Electronic Engineering

Access to Document

10.1109/TR.2002.1011527

Cite this

@article{ae095b02594f493a80101151bc43921c,

title = "Optimal simple step-stress plan for Khamis-Higgins model",

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 = "Accelerated test, Maximum likelihood estimation, Step-stress, Weibull life distribution",

author = "Alhadeed, {Abdulla A.} and Yang, {Shie Shien}",

year = "2002",

month = jun,

day = "1",

doi = "10.1109/TR.2002.1011527",

language = "English",

volume = "51",

pages = "212--215",

journal = "IEEE Transactions on Reliability",

issn = "0018-9529",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "2",

}

TY - JOUR

T1 - Optimal simple step-stress plan for Khamis-Higgins model

AU - Alhadeed, Abdulla A.

AU - Yang, Shie Shien

PY - 2002/6/1

Y1 - 2002/6/1

N2 - 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.

AB - 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.

KW - Accelerated test

KW - Maximum likelihood estimation

KW - Step-stress

KW - Weibull life distribution

UR - http://www.scopus.com/inward/record.url?scp=0036599712&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036599712&partnerID=8YFLogxK

U2 - 10.1109/TR.2002.1011527

DO - 10.1109/TR.2002.1011527

M3 - Article

AN - SCOPUS:0036599712

SN - 0018-9529

VL - 51

SP - 212

EP - 215

JO - IEEE Transactions on Reliability

JF - IEEE Transactions on Reliability

IS - 2

ER -

Optimal simple step-stress plan for Khamis-Higgins model

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this