Sankhya: The Indian Journal of Statistics

1996, Volume 58, Series B, Pt. 1, pp. 105--117

AN OPTIMUM CONTINUOUS SAMPLING PLAN CSP-2 WITH $k \neq i$ TO MINIMISE THE AMOUNT OF INSPECTION WHEN INCOMING QUALITY $p$ FOLLOWS A DISTRIBUTION

By

D. T. GHOSH,  Indian Statistical Institute

SUMMARY.  The CSP-2 plan proposed by Dodge and Torrey as a modification over CSP-1 plan has not yet been studied adequately. Though the authors studied the plan for $k \eq i$ it is not known how to select the parameters of the plan for $k \neq i$. In the present paper we have developed a procedure for determining $(i, f)$ for a given $k$ which may or may not be equal to $i$ to achieve a desired AOQL. Since several combinations of $(i, f)$ are possible for a given $k$ that will ensure the same AOQL we have also worked out a procedure for finding a unique optimum combination of $(i, f)$ for a given $k$ that would minimise the amount of inspection when the incoming quality $p$ is controlled at a process average $p\¯$ or follows a distribution.

AMS (1980) subject classification.  62N10.

Key words and phrases. Continuous sampling plan, amount of inspection, process average, AOQL, $(i, f, k)$ combinations.

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