A mixed control chart adapted to the truncated life test based on the Weibull distribution

• Authors: KHAN Nasrullah , ASLAM Muhammad , KIM Kyung-Jun , JUN Chi-Hyuck
• Languages of publication: EN

Abstracts

EN

The design of a new mixed attribute control chart adapted to a truncated life test has been pre-sented. It was assumed that the lifetime of a product follows the Weibull distribution and the number of failures was observed using a truncated life test, where the test duration was specified as a fraction of the mean lifespan. The proposed control chart consists of two pairs of control limits based on a bi-nomial distribution and one lower bound. The average run length of the chart was determined for vari-ous levels of shift constants and specified parameters. The efficiency of the chart is compared with an existing control chart in terms of the average run length. The application of the proposed chart is dis-cussed with the aid of a simulation study.

Keywords

EN

life test; Weibull distribution; attribute chart; binomial distribution; average run length

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2017
• Volume: 27
• Issue: 1
• Pages: 43-55

Contributors

author

KHAN Nasrullah

• 1Department of Statistics, Jhang Campus, University of Veterinary and Animal Sciences, Lahore 54000, Pakistan

author

ASLAM Muhammad

• Department of Statistics, Faculty of Sciences, King Abdulaziz University, Jeddah 21551, Saudi Arabia

author

KIM Kyung-Jun

• Department of Industrial and Management Engineering, POSTECH, Pohang 37673, Republic of Korea

author

JUN Chi-Hyuck

• Department of Industrial and Management Engineering, POSTECH, Pohang 37673, Republic of Korea

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Identifiers

DOI

10.5277/ord170103