Designing STDS plan for zero-inflated Poisson distribution through various quality level

Abstract

Due to technological development, the manufacturing process is well developing, so that the number of non-defective items will be found more. The appropriate probability distribution to obtain the number of defects in such cases, Zero-Inflated Poisson (ZIP) distribution can be utilized. Acceptance sampling plans are plays an important role to ensure the quality of the product. Whenever sampling plans are designed for product characteristics costly or destructive testing by attributes, a Special Type Double sampling Plan can be carried out. In this article, an attempt has been made to model and analyze the proposed inspection method through STDS plan, when the number of defect is less, which follows a ZIP distribution. The operating characteristic (OC) function of the sampling plan is derived and their plan parameters are obtained for the proposed plan. The procedures for designing the plan parameters are developed through AQL, LQL and IQL. A quality description called an operating ratio is developed to designing the sampling plan and few illustrations have been tabulated for the construction and selection of the plan.