| 枝向量矩阵反馈环算法的MATLAB实现* |
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| 引用本文： | 李进,贾仁安,涂国平.枝向量矩阵反馈环算法的MATLAB实现*[J].计算机应用研究,2007,24(4):251-254. |
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| 作者姓名： | 李进 贾仁安 涂国平 |
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| 作者单位： | （南昌大学 系统工程研究所， 江西 南昌 330047） |
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| 基金项目： | 国家自然科学基金资助项目（70361002） |
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| 摘 要： | 找到系统中的全部反馈环是系统动力学模型分析的基础。针对这一问题，比较了几种常见的反馈环计算方法，得出在时间复杂度上矩阵算法优于行列式算法。在计算机上用MATLAB实现了基于流率基本入树和强简化流率基本入树枝向量矩阵计算所有反馈环的矩阵算法，分析了算法的复杂性，并给出了相应的算例。
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| 关 键 词： | 系统动力学 反馈环 枝向量矩阵 MATLAB实现 |
MATLAB Implementation of Branch Vector Matrix Algorithm for Searching Feedback Loops |
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| LI Jin,JIA Ren an,TU Guo ping.MATLAB Implementation of Branch Vector Matrix Algorithm for Searching Feedback Loops[J].Application Research of Computers,2007,24(4):251-254. |
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| Authors: | LI Jin JIA Ren an TU Guo ping |
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| Affiliation: | (Institute of System Engineering, Nanchang University, Nanchang Jiangxi 330047, China) |
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| Abstract: | To search all feedback loops of a system is the basis of system dynamics model analysis. Compared with some normal methods of searching feedback loops, the author obtained that the matrix algorithm was superior to the determinant algorithm in terms of time complexity. This paper proposed a MATLAB implementation algorithm in computer for searching all feedback loops based on the branch vector matrix of rate variable fundamental in tree and strongly simplified rate variable fundamental in tree. It analyzed the complexity of the algorithm and presented an illustrative example. |
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| Keywords: | system dynamics feedback loop branch vector matrix MATLAB implementation |
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