Selection of Bayesian Multiple Deferred Sampling Plan (BMDS-1) with Weighted Poisson Model Based on AOQ and ATI Curve
K. Subbiah *
Department of Statistics, Government Arts College, Udumalpet-642126, Tamil Nadu, India.
M. Latha
Kamarajar Government Arts College, Surandai- 627859, Tamil Nadu, India.
*Author to whom correspondence should be addressed.
Abstract
Bayesian Acceptance Sampling Approach is associated with utilization of prior process history for the selection of Distributions (viz., Gamma Poisson, Beta Binomial) to describe the random fluctuations involved in Acceptance Sampling. Latha [1] has studied Bayesian Chain Sampling Plan – 1 involving designing of Bayesian Chain Sampling Plan indexed through Acceptance Quality Limit (AQL), Limiting Quality Limit (LQL), Overall Average Outgoing Quality Limit (OAOQL), and Maximum Allowable Average Percent Defective (MAAPD). The main thrust of this paper is to account for the possibility of dependence among the items of a sample. In paper a procedure is developed to draw an Average Outgoing Quality Level (AOQL), Overall Average Outgoing Quality Limit (OAOQL) curve by using Gamma Poisson distribution and compare the different procedures in order to show the ambiguity of the procedure and their results. It provides an investigation into the robustness of single sampling procedure indexed by Acceptance Quality Level (AQL) and Average Outgoing Quality Level (AOQL).
Keywords: Bayesian multiple deferred state – 1 (c1, c2) sampling plan, weighted Poisson distribution with gamma prior, Acceptance Quality Level (AQL), Average Outgoing Quality Level (AOQL), Average Total Inspection (ATI)