A Study of Production Decision Making Problems Based on Sample Testing and Cost Optimisation Models

In this paper, we provide an in-depth discussion on the optimization of sampling inspection and production decisions in the manufacturing process. In order to strike a balance between cost and accuracy, we propose a method based on two-stage sampling inspection. The method accomplishes the cost inspection with a better inspection cost the method effectively reduces the inspection cost while ensuring the inspection quality. Further, we propose a dynamic model-based production decision scheme. The scheme is able to minimize the production cost by continuously updating the estimate of the defective rate during multi-stage inspection and assembly sessions. Finally, we provide a detailed analysis and discussion of the production decision scheme combining sampling inspection and dynamic modeling using confidence intervals and Monte Carlo simulation methods.