Multi-Index Dynamic Optimization Method for Enterprise Evaluation Based on Correlation Constraints

Aiping Tan, Lingling Tian, Shouzhi Sun, Yan Wang
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Abstract

Most of the current enterprise evaluation methods are based on a comprehensive index system. However, there are significant differences in the evaluation effectiveness of indicators and the difficulty of obtaining index data, which determines that a unified and comprehensive Index system cannot be adopted for different enterprises. Therefore, how to dynamically screen out the index with the least acquisition cost, meet the evaluation needs and not destroy the index relationship from the index system of related fields has become a significant problem. The current research results usually assume that the index is independent of each other and rarely consider the correlation constraints between different indexes. For this reason, this paper proposes a multi-index optimization problem based on correlation constraints (Multi-Index Optimization Based on Relevance Constraints, MIO-RC). MIO-RC is based on the evaluation value of each index, and the cost of index acquisition then selects the index set with the minimum cost that satisfies the expected contribution value. MIO-RC problem defines the correlation constraints between various evaluation indicators and defines a dynamic contribution value function based on enterprise characteristics and correlation indicators. In this paper, the MIO-RC problem is an NP-hard problem, and an IR-GA algorithm based on a genetic algorithm is designed to solve the MIO-RC problem under different constraints. Finally, this paper conducts a verification analysis based on many enterprise data sets. The experimental results show that: in terms of performance, compared with the simulated annealing algorithm and the particle swarm evolution algorithm, the IR-GA algorithm converges faster.
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基于关联约束的企业评价多指标动态优化方法
目前的企业评价方法大多基于综合指标体系。但各指标的评价有效性和指标数据获取难度存在显著差异,这就决定了无法针对不同企业采用统一的综合指标体系。因此,如何从相关领域的指标体系中动态筛选出获取成本最低、满足评价需要且不破坏指标关系的指标,成为一个重要的问题。目前的研究成果通常假设指标之间是相互独立的,很少考虑不同指标之间的相关约束。为此,本文提出了一种基于关联约束的多指标优化问题(multi-index optimization based on Relevance constraints, MIO-RC)。MIO-RC基于每个指标的评价值,然后选取满足期望贡献值的成本最小的指标集。MIO-RC问题定义了各种评价指标之间的关联约束,并根据企业特征和相关指标定义了动态贡献值函数。本文将MIO-RC问题作为np困难问题,设计了一种基于遗传算法的IR-GA算法来求解不同约束条件下的MIO-RC问题。最后,本文基于多个企业数据集进行了验证分析。实验结果表明:在性能方面,与模拟退火算法和粒子群进化算法相比,IR-GA算法收敛速度更快。
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