基于边际分析方法的企业经济管理模式优化与风险控制

IF 3.1 Q1 Mathematics Applied Mathematics and Nonlinear Sciences Pub Date : 2024-01-01 DOI:10.2478/amns-2024-0809
Xiaoyun Wu
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引用次数: 0

摘要

作为企业经济管理中有效的经济决策工具,边际分析法对于反映成本与收益之间的微小变化关系至关重要。本文旨在开发一种利用边际分析优化企业经济管理模式和风险控制的多目标边际分析优化算法(MMAOA)。该算法对群体初始化方法和约束处理进行了改进,提高了理解质量和搜索效率。本研究设计了一种改进的种群初始化方法,以确保种群在输出功率的上下限范围内。然后通过惩罚函数法和修正法对约束条件进行合理处理,以提高算法的可行性和鲁棒性。在帕累托最优概念的指导下,MMAOA 成功应用于多目标优化问题,在考虑均衡约束和不等式约束的情况下,该算法能高效生成一组帕累托最优解,其中某些优化实例的目标函数值提高了 10%以上。经过边际分析,本研究提出了东西部投资回报率的差距和农业经济效益的三个阶段。本文为企业财务管理提供了一种新的优化工具,也为风险评估提供了一种定量分析方法。
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Optimization of Enterprise Economic Management Model and Risk Control Based on Marginal Analysis Approach
As an effective economic decision-making tool in enterprise economic management, Marginal Analysis is crucial to reflect the small change relationship between costs and benefits. This paper aims to develop a multi-objective marginal analysis optimization algorithm (MMAOA) that utilizes marginal analysis to optimize the enterprise economic management model and risk control. This algorithm's improvement of the population initialization method and constraint handling enhances the quality of understanding and search efficiency. In this study, an improved population initialization method is designed to ensure that the population is within the upper and lower limits of the output power. Then the constraints are reasonably handled by the penalty function method and the correction method to enhance the feasibility and robustness of the algorithm. Guided by the concept of Pareto optimality, MMAOA is successfully applied to multi-objective optimization problems, and the algorithm can efficiently generate a set of Pareto optimal solutions under the consideration of equilibrium constraints and inequality constraints, in which the objective function values of certain optimization instances are improved by more than 10%. Following marginal analysis, this study presents the disparity in ROI between the East and West and the three stages of agricultural economic efficiency. This article provides a new optimization tool for enterprise financial management and a quantitative analysis method for risk assessment.
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来源期刊
Applied Mathematics and Nonlinear Sciences
Applied Mathematics and Nonlinear Sciences Engineering-Engineering (miscellaneous)
CiteScore
2.90
自引率
25.80%
发文量
203
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