DECISION OPTIMIZATION MODEL FOR ELECTRONIC PRODUCT PRODUCTION BASED ON BINOMIAL DISTRIBUTION
Volume 3, Issue 2, Pp 63-68, 2025
DOI: https://doi.org/10.61784/wms3068
Author(s)
XiaoYan Liu
Affiliation(s)
School of Information Engineering, Lanzhou Petrochemical University of Vocational Technology, Lanzhou 730060, Gansu, China.
Corresponding Author
XiaoYan Liu
ABSTRACT
This paper aims to solve the key balance between quality control and cost optimization in the multi-stage electronics manufacturing process. By combining statistical hypothesis testing with mixed integer linear programming (MILP), we propose a novel decision-making framework that can dynamically adapt to different defect rate, inspection cost, and risk scenarios. Firstly, a one-sided hypothesis testing method was proposed to calculate the minimum sampling size in order to solve the problem of supplier defect rate verification. Secondly, for the multi-stage production decision-making problem, a mixed integer linear programming model is constructed, and the total cost is optimized by the combination of enumeration strategies. This study provides a theoretical basis for enterprises to formulate flexible production strategies, promotes the development of production decision science by combining statistical quality control with operational optimization, and provides a data-driven tool for manufacturers to cope with the dynamic supply chain environment. This approach can be extended to the context of sustainable manufacturing, especially for recycling-oriented production systems with material uncertainty.
KEYWORDS
Quality control; Mixed integer programming; Hypothesis testing; Sampling testing; Production decisions
CITE THIS PAPER
XiaoYan Liu. Decision optimization model for electronic product production based on binomial distribution. World Journal of Management Science. 2025, 3(2): 63-68. DOI: https://doi.org/10.61784/wms3068.
REFERENCES
[1] Hsieh C C, Lai H H, Masruroh N A. Production decisions considering dual material types and setup time uncertainty.Applied Mathematical Modelling, 2021, 96(1).
[2] Wu A, Deng C. TIB: Detecting Unknown Objects via Two Stream Information Bottleneck. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2024, 46(1): 611–625.
[3] Zhou Q, Pang G, Tian Y, et al. AnomalyCLIP: Object-agnostic Prompt Learning for Zero-shot Anomaly Detection. 2023.
[4] Li W, Sun H, Dong H, et al. Outsourcing Decision making in global remanufacturing supply chains: The impact of tax and tariff Regulations. European Journal of Operational Research, 2023, 304(3): 997–1010.
[5] Wang L, Abbou R, da Cunha C. Multistage scheduling for sustainable manufacturing:balancing demand, resources, and social responsibility. International Journal of Dynamics and Control, 2025, 13(5): 113.
[6] Rose C, Smith M D . mathStatica: Mathematical Statistics with Mathematica. Physica-Verlag HD, 2002.
[7] Montgomery D C. Statistical quality control. Wiley, 2020.
[8] Li X, Ji X, Zeng X. Optimizing supply chain networks using mixed integer linear programming (MILP). Theoretical and Natural Science, 2024, 53(1): 10–15.
[9] Bertsimas D, Tsitsiklis J N. Introduction to linear optimization. Athena Scientific, 1997.
[10] Atkinson S E, Luo R. Estimation of production technologies with output and environmental constraints. International Economic Review, 2024, 65(2): 755780.