Vol. 4 No. 2 (2020): vol 4, Iss 2, 2020
Articles

A study on continuous inspection of markov processs with a clearance interval

Govindarajan P
Associate professor, Department of Mathematics, Islamiah College (Autonomous) Vaniyambadi 635 752, Tirupattur District, Tamil Nadu India
Jayaraman R
Research scholar, Department of Mathematics, Islamiah College (Autonomous) Vaniyambadi 635 752, Tirupattur District, Tamil Nadu India.
Published December 28, 2020
Keywords
  • Continuous Sampling Plan, Average Outgoing Quality, Bernoulli, Markovian
How to Cite
P, G., & R, J. (2020). A study on continuous inspection of markov processs with a clearance interval. Journal of Computational Mathematica, 4(2), 27 of 33. https://doi.org/10.26524/cm77

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.

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