A Study on the Decision-Making of Product Production Process Based on Dynamic Programming Model

• Published in: Electronic Journal of Applied Mathematics Vol. 3; no. 1; pp. 9 - 23
• Main Authors: Zhao, Yujia, Huang, Jiran, Wu, Songyan, Leng, Jibing
• Format: Journal Article
• Language: English
• Published: 18.03.2025
• ISSN: 2980-2474; 2980-2474
• DOI: 10.61383/ejam.20253193

In view of the sales situation of enterprise products, especially for electronic products, the equipment and assembly of internal parts of products and the quality of parts themselves, the impact on the performance of finished products is obvious. This paper analyzes the finished product production of an enterprise producing electronic products and makes the best decision on how to optimize the production process through quality control management. Firstly, using the approximation principle of binomial distribution and normal distribution, the minimum detection times of 98 and 59 are calculated at 95% and 90% confidence levels, respectively, to verify the premise that the nominal value of the merchant does not exceed 10%. Then, by constructing a dynamic programming model, the detection process is subdivided into the detection of parts and finished products and the disassembly decision of unqualified products, and the optimal decision-making schemes in six cases are obtained. Furthermore, the dynamic programming model is extended to 5 stages and 16 steps, and the optimal solution of each step is comprehensively considered to obtain the optimal decision of the whole process. Finally, the Bayesian updating method is introduced to dynamically adjust the defective rate according to the number of defective products detected in real time, and the previous decision-making scheme is updated accordingly to realize the dynamic optimization of decision-making.