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Estimation and design of sampling plans for monitoring dependent production processes

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Title Estimation and design of sampling plans for monitoring dependent production processes
 
Creator VELLAISAMY, P
SANKAR, S
TANIGUCHI, M
 
Subject dependent production process
single and double sampling plans
curtailed inspections
rectifying
inspection
estimation and design
arma(1,1) model
simulation
algorithm
asn
aoq
 
Description We consider the problem of designing single and the double sampling plans for monitoring dependent production processes. Based on simulated samples from the process, Nelson proposed a new approach of estimating the characteristics of single sampling plans and, using these estimates, designing optimal plans. In this paper. we extend his approach to the design of optimal double sampling plans. We first propose a simple methodology for obtaining the unbiased estimators of various characteristics of single and double sampling plans. This is achieved by defining the various characteristics of sampling plans as explicit random variables. Some of the important properties of the double sampling plans are established. Using these results, an efficient algorithm is developed to obtain optimal double sampling plans. A comparison with a crude search shows that our algorithm leads to about 90% savings, on the average, in computational timings. The procedure is also explained through a suitable example for the ARMA(1,1) model. It is observed, for instance, that an optimal double sampling plan leads to about 23% reduction in average sample number, compared to an optimal single sampling plan. Tables for choosing the optimal plans for certain auto regressive moving average processes at some practically useful values of acceptable quality level and rejectable quality level are also presented.
 
Publisher KLUWER ACADEMIC PUBL
 
Date 2011-08-17T05:14:52Z
2011-12-26T12:55:22Z
2011-12-27T05:37:45Z
2011-08-17T05:14:52Z
2011-12-26T12:55:22Z
2011-12-27T05:37:45Z
2003
 
Type Article
 
Identifier METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 5(1), 85-108
1387-5841
http://dx.doi.org/10.1023/A:1024129421819
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9756
http://hdl.handle.net/10054/9756
 
Language en