Designing Single Sampling Plan using Generalized Poisson Distribution

V. Kaviyarasu¹ , V. Devika²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.226-232, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.226232

Online published on Aug 31, 2018

Copyright © V. Kaviyarasu, V. Devika . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
This paper introduces a new two-parameter discrete probability distribution through an attribute acceptance sampling plan to develop a sampling plan through the Generalized Poisson Distribution (GPD) called as single sampling plan. The performance measures of the sampling plan are studied through its Operating Characteristic (OC) curve, Operating Characteristic function and its Operating Ratio (OR) values. Designing methods were developed to study the various quality levels namely AQL, LTPD and IQL values and are given for the distribution to protect both the producer and consumer simultaneously. The proposed plan is to support the design of attribute acceptance single sampling plan for lot acceptance with the fraction of non-conforming item modeled by GPD. This distribution is compared with conventional Poisson distribution through its plan parameters. Necessary tables and procedures are constructed with suitable examples to meet the needs of manufacturing industries to study the feasibility of the sampling plan.

Key-Words / Index Term :
Acceptance Sampling, Single Sampling Plan, Generalized Poisson Distribution,Operating Characteristic Function

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