Cost-Optimal Multistage Sampling Plans in Statistical Quality Control

Terveer I


Abstract
Multistage Bayesian decision procedures in statistical quality control are known from attribute sampling. In this paper they are introduced in a more general framework occuring in lot-control by using the theory of Bayesian sequentially planned decision procedures. We show that under sufficiency and transitivity assumptions and monotonicity properties concerning the distributionand cost set-up these Bayes-procedures have(z,c-,c+)-structure which, on one hand, generalizes results of K.-H. Waldmann and, on the other hand, reduces computational effort significantly. Finally, examples taken from attribute sampling and life testing for an outgoing lot are presented.

Keywords
Acceptance sampling, backward induction, Bayes procedures, multistage decision procedures, quality control



Publication type
Article in Journal

Peer reviewed
Yes

Publication status
Published

Year
1995

Journal
Zeitschrift für Operations Research

Volume
41

Issue
1

Start page
359

End page
380

Language
English

ISSN
0340-9422