Abstract
Dodge’s continuous sampling plan-1 (CSP-1) with clearance interval zero may be inefficient if there is serial correlation between successive units which are Markov dependent and a clearance interval greater than zero is appropriate. For such a situation, the average outgoing quality limit (AOQL) expression has been obtained and, when the serial correlation coefficient of the Markov chain is assumed to be known a priori, it is numerically demonstrated that smaller AOQL values are achieved numerically for values of the clearance interval from 1 to 4, by improving the performance of CSP-1.
Highlights
The first Continuous Sampling Plan (CSP) was devised by Dodge (1943)
We consider a two-state time-homogeneous Markov Chain (MC) model to study the effectiveness of continuous sampling plan-1 (CSP-1) especially when the clearance number greater than zero seems to be appropriate rather than Dodge’s basic CSP-1 with clearance interval zero and illustrate that clearance intervals from 1 to 4 give smaller average outgoing quality limit (AOQL) values
It must be noted that, under Markovian assumption, the Average Outgoing Quality (AOQ) expression of CSP-1 would depend on the type of fractional sampling procedure used
Summary
Govindarajan P1, Jayaraman R2 1Associate professor, Department of Mathematics, Islamiah College (Autonomous) Vaniyambadi 635 752, Tirupattur District, Tamil Nadu India. 2Research scholar, Department of Mathematics, Islamiah College (Autonomous) Vaniyambadi 635 752, Tirupattur District, Tamil Nadu India.
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