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A renewal look at switching rules in the MIL-STD-105D sampling system

Published online by Cambridge University Press:  14 July 2016

Grace L. Yang
Grace L. Yang*
Affiliation:
University of Maryland
*
∗Postal address: Department of Mathematics, University of Maryland, College Park, MD 20742, USA.
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Abstract

A sampling system, MIL-STD-105D, used in quality control consists of three sampling plans with different acceptance probabilities used in turn for lot inspection. The decision to switch plan is based on the history of the lot acceptance records and a set of stopping rules. We derive the performance measure, average outgoing quality (AOQ), of this sampling system from a renewal process in which AOQ is expressed in terms of the moments of the stopping times. The renewal approach is simpler than that of the Markov chain generally used in computing AOQ for an infinite sequence of lots; it also provides a formula for AOQ for a finite sequence of lots.

Keywords

RENEWAL PROCESSSTOPPING TIMEQUALITY CONTROLACCEPTANCE SAMPLINGAVERAGE OUTGOING QUALITY
Type
Research Papers
Information
Journal of Applied Probability , Volume 27 , Issue 1 , March 1990 , pp. 183 - 192
Copyright
Copyright © Applied Probability Trust 1990 

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Footnotes

Also affiliated to the National Institute of Standards and Technology, Gaithersburg, MD.

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