基于灵敏度分析的Q-BTGSID的优化

doi:10.16182/j.issn1004731x.joss.201801010

系统仿真学报 ›› 2018, Vol. 30 ›› Issue (1): 80-90.doi: 10.16182/j.issn1004731x.joss.201801010

基于灵敏度分析的Q-BTGSID的优化

贾书伟

上海理工大学管理学院,上海 200093

收稿日期:2015-12-07 发布日期:2019-01-02

Optimization of Q-BTGSID Based on Sensitivity Analysis

Jia Shuwei

School of Management, University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2015-12-07 Published:2019-01-02
About author:Jia Shuwei (1982-), male, Henan, China, PHD, research area: systems engineering, system modeling and simulation
Supported by:
Hujiang Foundation of China (A14006), Shanghai First-class Academic Discipline Project (S1201YLXK)

摘要/Abstract

摘要： 为了弥补相对关联度,绝对关联度和综合关联度在取值范围上存在的不足,试图做了以下改进。引入可调因子和空间距离来调节,构建新模型,证明了改进的模型满足灰色关联公理,能够使关联度的值分布到（0,1]这一更大的区间。提出新模型的准优解所满足的4个原则,如：保序性原则、极差最大化原则、对称性原则以及数值分布区间个数之和最大化原则,并根据灵敏性分析理论总结了具体算法。结合实例,对各类关联度分析模型在性能上进行比较,进而验证了新模型的合理性和实用性。

关键词: 灵敏性分析, 综合关联度, 算法, 优化

Abstract: In order to make up for the defect that relative degree of incidence, absolute degree of incidence and synthetic degree of incidence are limited in the range of (0.5, 1], this paper attempts to improve the degree of grey incidence. A control factor of “λ” and the metric space are set up to adjust. A new model is established and its specific properties are studied. It is proved that the new model satisfies the grey incidence axioms and the range of degree of grey incidence can be extended to (0, 1]. We put forward four principles of the quasi-optimal value, and summarize the specific algorithm steps according to sensitivity analysis. The performances of all kinds of analysis models of degree of incidence are compared and the quasi-optimal value is obtained. In addition, the paper succeeds in showing that the new model not only keeps the original relation order, but also extends the range of degree of grey incidence to a broader scope, and improves the resolution.

Key words: sensitivity analysis, synthetic degree of incidence, algorithm, optimization

中图分类号:

TP391.9

贾书伟. 基于灵敏度分析的Q-BTGSID的优化[J]. 系统仿真学报, 2018, 30(1): 80-90.

Jia Shuwei. Optimization of Q-BTGSID Based on Sensitivity Analysis[J]. Journal of System Simulation, 2018, 30(1): 80-90.

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基于灵敏度分析的Q-BTGSID的优化

Optimization of Q-BTGSID Based on Sensitivity Analysis

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