Construction of Bayesian Single Sampling Plan by Attributes under the Conditions of Gamma Zero – Inflated Poisson Distribution

Sampling plans, systems and schemes are used to accept/reject the lots when inspecting a series of lots. A sampling system is a grouping of two or more sampling plans, with specified rules for switching between the plans and selecting the lots of finished products. Count a defecting unit in a production process in some situation that may have zeros. This situation very much suited distribution is Zero – inflated Poisson distribution than other process. This paper, construct single sampling plan by attribute in using Bayesian approach for assuming that the defective units are distributed to a gamma zero – inflated Poisson distribution. Employing an average of Gamma Zero – Inflated Poisson distribution and operating ratio of different producer and consumer risks have been analyses. Numerical examples are presented for Gamma Zero – Inflated Poisson distribution.