A new variables sampling plan for life testing in a continuous process under weibull distribution | [Pakistan Journal of Statistics • 2010]

Author(s):

1. Muhammad Aslam: Department of Statistics, Forman Christian College University, Lahore, Pakistan

2. Saminathan Balamurali: Department of Mathematics, Kalasalingam University, Krishnankoil, INDIA

3. Chi Hyuck Jun: Department of Industrial & Management Engineering, Pohang University of Science and Technology, Pohang, KOREA

4. Munir Ahmad: National College of Business Administration & Economics, Lahore, PAKISTAN

Abstract:

A new conditional variables sampling plan called multiple dependent state (or deferred state) sampling plan, is proposed for a failure-censored life testing when the lifetime follows a Weibull distribution with known shape parameter. In the proposed sampling plan, acceptance or rejection of a lot is based not only on the sample from that lot, but also on sample results from past lots or from future lots. The design parameters of the proposed sampling plan are determined by the two-point approach considering the consumer’s and the producer’s risks at the specified acceptable reliability level and the lot tolerance reliability level, respectively. It was found that the proposed plan reduces the sample size required when compared with a variables single sampling plan.

Page(s): 539-546

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 26, Issue: 3, Year: 2010

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