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Article

Production Decision Optimization Based on a Multi-Agent Mixed Integer Programming Model

1
Applied Mathematical Statistics, Anhui University, No. 3 Feixi Road, Hefei 230000, China
2
Data Science and Big Data Technology, Anhui University, No. 3 Feixi Road, Hefei 230000, China
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(11), 1827; https://doi.org/10.3390/math13111827
Submission received: 1 April 2025 / Revised: 4 May 2025 / Accepted: 27 May 2025 / Published: 30 May 2025

Abstract

In the increasingly competitive manufacturing industry, optimizing production decision making and quality control is crucial for the strategic development of companies. To maximize cost effectiveness and enhance market competitiveness, scientific decision-making and effective quality inspection are particularly important. Among the various types of decision models for production processes, extensive research has been conducted in different fields to address diverse decision problems for production processes, resulting in the establishment of multiple models that aid in the analysis of factors that influence processes at various stages. In this paper, we propose a production decision optimization method based on a multi-agent mixed-integer programming model, which integrates multistage decision analysis and quality inspection. By incorporating Monte Carlo simulation, we can simulate the fluctuations in defect rates during actual production processes and optimize decision-making under multiple confidence levels. This model effectively balances production costs and product quality, achieving maximum cost-effectiveness through the optimization of decision pathways during the production stages. Experimental results show that our model can provide robust and efficient decision support in dynamic manufacturing environments.
Keywords: multi-agent mixed-integer programming; production process decision-making; quality inspection; multistage decision-making; Monte Carlo simulation multi-agent mixed-integer programming; production process decision-making; quality inspection; multistage decision-making; Monte Carlo simulation

Share and Cite

MDPI and ACS Style

Wang, S.; Li, Y.; Wang, J. Production Decision Optimization Based on a Multi-Agent Mixed Integer Programming Model. Mathematics 2025, 13, 1827. https://doi.org/10.3390/math13111827

AMA Style

Wang S, Li Y, Wang J. Production Decision Optimization Based on a Multi-Agent Mixed Integer Programming Model. Mathematics. 2025; 13(11):1827. https://doi.org/10.3390/math13111827

Chicago/Turabian Style

Wang, Simiao, Yijun Li, and Jinghan Wang. 2025. "Production Decision Optimization Based on a Multi-Agent Mixed Integer Programming Model" Mathematics 13, no. 11: 1827. https://doi.org/10.3390/math13111827

APA Style

Wang, S., Li, Y., & Wang, J. (2025). Production Decision Optimization Based on a Multi-Agent Mixed Integer Programming Model. Mathematics, 13(11), 1827. https://doi.org/10.3390/math13111827

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