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Reducing Costs and Improving Quality: Mathematical Modelling Strategies in Electronics Production
Abstract
In the production of electronic products, the testing process is crucial, but full-scale testing can bring about a conflict between cost and capacity. This study focuses on this and adopts a sampling testing method to balance the two relationships. The study first assumes that the defective rate conforms to the binomial distribution, approximates the normal distribution in the case of large samples, constructs the null hypothesis and alternative hypothesis, and determines the number of samples for sampling and testing at different confidence levels through statistical methods. At the same time, the testing cost, defective rate and market loss are considered comprehensively, relevant variables and constraints are constructed, and quality control decisions are formulated. The optimal decision under specific conditions is finally derived, which provides an effective quality control strategy for enterprises.
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