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

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...

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Main Authors: Simiao Wang, Yijun Li, Jinghan Wang
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/11/1827
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author Simiao Wang
Yijun Li
Jinghan Wang
author_facet Simiao Wang
Yijun Li
Jinghan Wang
author_sort Simiao Wang
collection DOAJ
description 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.
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spelling doaj-art-a7dd0e7948a848cf99c82ea9408b23322025-08-20T02:32:57ZengMDPI AGMathematics2227-73902025-05-011311182710.3390/math13111827Production Decision Optimization Based on a Multi-Agent Mixed Integer Programming ModelSimiao Wang0Yijun Li1Jinghan Wang2Applied Mathematical Statistics, Anhui University, No. 3 Feixi Road, Hefei 230000, ChinaApplied Mathematical Statistics, Anhui University, No. 3 Feixi Road, Hefei 230000, ChinaData Science and Big Data Technology, Anhui University, No. 3 Feixi Road, Hefei 230000, ChinaIn 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.https://www.mdpi.com/2227-7390/13/11/1827multi-agent mixed-integer programmingproduction process decision-makingquality inspectionmultistage decision-makingMonte Carlo simulation
spellingShingle Simiao Wang
Yijun Li
Jinghan Wang
Production Decision Optimization Based on a Multi-Agent Mixed Integer Programming Model
Mathematics
multi-agent mixed-integer programming
production process decision-making
quality inspection
multistage decision-making
Monte Carlo simulation
title Production Decision Optimization Based on a Multi-Agent Mixed Integer Programming Model
title_full Production Decision Optimization Based on a Multi-Agent Mixed Integer Programming Model
title_fullStr Production Decision Optimization Based on a Multi-Agent Mixed Integer Programming Model
title_full_unstemmed Production Decision Optimization Based on a Multi-Agent Mixed Integer Programming Model
title_short Production Decision Optimization Based on a Multi-Agent Mixed Integer Programming Model
title_sort production decision optimization based on a multi agent mixed integer programming model
topic multi-agent mixed-integer programming
production process decision-making
quality inspection
multistage decision-making
Monte Carlo simulation
url https://www.mdpi.com/2227-7390/13/11/1827
work_keys_str_mv AT simiaowang productiondecisionoptimizationbasedonamultiagentmixedintegerprogrammingmodel
AT yijunli productiondecisionoptimizationbasedonamultiagentmixedintegerprogrammingmodel
AT jinghanwang productiondecisionoptimizationbasedonamultiagentmixedintegerprogrammingmodel