Tightened–Normal–Tightened Systems Utilizing Truncated Poisson Distribution for Risk Minimization

Abstract

Introduction: The goal of this study is to improve quality control in contemporary manufacturing processes by implementing Tightened–Normal–Tightened (TNT) methods, which are intended to reduce the combined risks for consumers and producers. The Truncated Poisson distribution is used to pick a TNT system with the lowest total of hazards based on defined Acceptable Quality Levels (AQL) and Limiting Quality Levels (LQL). A comprehensive table and technique are provided. Highlighted are the advantages of using this risk-minimized TNT system, proving its superiority over current TNT system selection techniques. Comparative analysis highlights this method's effectiveness and usefulness, making it a useful instrument for modern production settings.

Objectives: The goal of this research is to create and apply a risk-minimized Tightened–Normal–Tightened (TNT) system in order to improve quality control in contemporary manufacturing processes. The study intends to minimize the combined risks for producers and consumers by optimizing the selection of TNT systems based on Acceptable Quality Levels (AQL) and Limiting Quality Levels (LQL) by utilizing the Truncated Poisson distribution.

Methods: In order to accurately represent production scenarios with minimal defect levels, the Truncated Poisson distribution was used to produce the Operating Characteristic (OC) function for the two-plan TNT system, which was drawn from the works of Dodge (1965) and Hald & Thyregod (1965). This function was used to create a TNT system that balances Limiting Quality Levels (LQL) and Acceptable Quality Levels (AQL) in order to reduce total risks. The performance of the suggested system in terms of risk reduction, inspection effectiveness, and fit for contemporary production needs was assessed by contrasting it with the plans that Govindaraju and Subramani (1992b) had already established.

Results: The study effectively illustrates how to apply an optimal Tightened–Normal–Tightened (TNT) approach to reduce quality control risks in a variety of manufacturing scenarios. In comparison to conventional approaches, the suggested methodology achieves better results by utilizing the Truncated Poisson distribution to guarantee efficient risk management for both producers and customers. The results highlight how well the Truncated Poisson distribution works to provide a dependable, risk-reduction framework for quality control that meets the demands of contemporary production.

Conclusions: This study illustrates how the Truncated Poisson distribution-optimized Tightened–Normal–Tightened (TNT) system effectively reduces risks in modern manufacturing processes. The suggested approach outperforms current selection methods in lowering producer and customer risks by choosing TNT systems according to specified Acceptable Quality Levels (AQL) and Limiting Quality Levels (LQL). The approach and table shown here provide useful tools for putting risk-minimized TNT systems into practice, demonstrating their enormous potential to improve quality control and guarantee more dependable production results in contemporary manufacturing settings.