Mixed Sampling Plan with Quick Switching System (QSS-1) Sampling Plan as Attribute Plan Indexed Through MAPD and AQL using IRPD

By : R. Vijaya Kumar , T. Venkatesan

Page No: 169-182

Abstract
This paper presents a systematic procedure for the construction and selection of Mixed Sampling Plans (MSP) using the Intervened Random Effect Poisson Distribution (IRPD) as the baseline model. The sampling plans are formulated using the Quick Switching System (QSS-1) as the attribute-based plan, incorporating parameters such as the Acceptable Quality Level (AQL) and the Maximum Allowable Percent Defective (MAPD). Decision-making tables are developed to facilitate the easy selection of appropriate sampling plans under different quality conditions. In the current framework, a Gamma prior distribution is assumed for the IRPD model. However, this assumption can be relaxed in future studies by considering alternative prior distributions such as the Inverse Gaussian, Beta-Binomial, and others to enhance model flexibility. Additionally, the Graphical Evaluation and Review Technique (GERT) can be used to analyse and visualise the flow and structure of the developed sampling plans. Beyond acceptance sampling, the IRPD model shows promise for broader applications, including queuing theory, stochastic modelling, and other areas involving random intervention effects.

Authors:
R. Vijaya Kumar , T. Venkatesan : Department of Statistics, St. Joseph’s College (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli, Tamil Nadu, India.
 

DOI: https://doi.org/10.32381/IAPQRT.2025.49.02.3