Research on Decisions in the Production Process Based on Dynamic Programming

Authors

  • Wenxu Wang

DOI:

https://doi.org/10.54097/6dpnvm78

Keywords:

Decisions in the production process, Normal distribution approximation, Sequential probability ratio test, Dynamic programming optimization.

Abstract

Electronic products have become a necessity in daily life. This paper discusses the decision-making problems in the production process of an electronic product enterprise. Through various relevant analyses, establishing corresponding mathematical models, designing a reasonable sampling inspection scheme, determining the optimal decision in the production process, improving the qualification rate and quality of finished products, and enhancing the market competitiveness of the enterprise. Firstly, this paper judges whether to accept parts under two reliabilities through hypothesis testing, obtains the sample quantity by using the normal distribution approximation model, then conducts sampling inspection and judges whether to reject the null hypothesis, and finally uses the sequential probability ratio test to improve the model to make decisions with as few sampling times as possible.Secondly, this paper first considers the general situation of (m) processes and (n) types of spare parts in enterprise production, constructs a decision tree model to determine a more comprehensive decision-making scheme, then constructs a dynamic programming optimization model to analyze its costs and obtains an idealized decision-making scheme. It then analyzes the special situation of 2 processes and 8 types of spare parts to obtain a decision-making scheme, and finally uses a genetic algorithm to calculate the optimal decision for the special situation.

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References

[1] Su Zhijing. Discussion on the Quality Inspection Methods of Electronic Products [J]. Product Reliability Report, 2024, (02): 147 - 149.

[2] Zuo Naiqian. Research on the Optimal Production Decision of Manufacturing Enterprises under Environmental Regulations [D]. Harbin Institute of Technology, 2022.

[3] Chen Xinhuan. Research on the Evaluation of Input-Output Efficiency and Production Decision of Open-Pit Coal Mine [D]. China University of Mining and Technology, 2021.

[4] Chen Wenchong. Research on the Production Process Control Decision from Order Acquisition to On-Time Submission of a Data-Driven Discrete Manufacturing System [D]. Tianjin University, 2021.

[5] Shi Yu. Research on the Optimal Decisions of Manufacturers and Retailers in a Green Supply Chain under Different Government Subsidy Backgrounds [D]. Harbin Engineering University, 2020.

[6] Xiao Jinsheng, Yang Liheng, Ding Ling, et al. Teaching Discussion on Hypothesis Testing in Modern Mathematical Statistics [J]. Higher Education Journal, 2024, 10 (08): 117 - 120.

[7] The Experimental Research Group of Middle School Mathematics Textbook of the Curriculum and Textbook Research Institute of People's Education Press. General High School Textbook - Mathematics (B Version): Selective Compulsory Second Volume[M]. Beijing: People's Education Press, 2020.

[8] Zhou Qing. Normal Distribution Approximation of Binomial Distribution [J]. Shanghai Middle School Mathematics, 2024, (Z1): 1 - 3.

[9] Yang Jun, Xue Mingchen, Qi Cheng. A Fault Warning Method for Air Spring Leakage Based on Kalman Filtering and Sequential Probability Ratio Testing [J]. Urban Rail Transit Research, 2022, 25 (07): 60 - 64.

[10] Liu Yuzhi. An Autonomous Task Decision Method for Robot Ecosystem Based on Decision Tree Algorithm [C]//Tianjin Electronic Industry Association. Proceedings of the 2024 Annual Meeting of the Tianjin Electronic Industry Association. Tianjin 712 Communication Broadcasting Co., Ltd.;, 2024: 8.

[11] Mu Baomao, Ye Xin. Research on Model Predictive Control Strategy Based on Dynamic Programming [J]. Heavy Truck, 2023, (06): 6 - 8.

[12] Xu Fenglei, Wang Chen, Hu Fuyuan. The Theory of Evolution in Artificial Intelligence: Situational Teaching of Genetic Algorithms [J]. Software Guide, 2024, 23 (08): 93 - 98.

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Published

27-02-2025

How to Cite

Wang, W. (2025). Research on Decisions in the Production Process Based on Dynamic Programming. Highlights in Business, Economics and Management, 51, 24-30. https://doi.org/10.54097/6dpnvm78