系统动力学反馈环快速计算法研究  

Research on a fast calculation method of feedback loop of system dynamics

作　　者：刘静华[1] 孟钰杰 LIU Jinghua;MENG Yujie(School of Public Policy and Administration,Nanchang University,Nanchang 330031,China)

机构地区：[1]南昌大学公共政策与管理学院,江西南昌330031

出　　处：《南昌大学学报（理科版）》2024年第2期194-204,共11页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(71764016)。

摘　　要：针对系统动力学传统枝向量行列式反馈环计算法存在计算时花费时间过长、计算结果容易出错且难以检验等问题,提出了系统动力学反馈环快速计算法。该方法借助Vensim软件Loops功能,以各流位变量为起点生成系统反馈回路集,再删除重复反馈环,可得到此系统所有非重复反馈环集合。以萍乡明鑫农场“基地+农户”供应链复杂系统为例,借助已构建的11棵强简化流率基本入树模型,分别用行列式计算法和该方法计算得出该系统所有反馈环。研究表明,两种方法最终计算结果相同,但反馈环快速计算法却能大大节省计算时间,并提高计算准确率。并可基于此深入分析系统结构,以期提出相对应的管理对策。Aiming at the problems of long computation time,error-prone results,and difficulty in verification associated with the traditional determinant feedback loop calculation method in system dynamics,a rapid calculation method for system dynamics feedback loops was proposed.This method utilizes the Loops function of Vensim software,the feedback loop set of the system was generated by taking each level bit variable as the starting point,followed by the removal of duplicate feedback loops to obtain a set of all non-repetitive feedback loops in the system.Taking the"Base+Farmers"supply chain complex system of Mingxin Farm in Pingxiang as an example,11 strongly simplified flow rate basic in-tree models that have been constructed,and both the determinant calculation method and this new method were used to compute all feedback loops in the system.The research showed that both methods yielded the same results,but the fast calculation method of the feedback loop significantly reduced the calculation time and improved the calculation accuracy.Based on this,the system structure can be deeply analyzed to put forward corresponding management countermeasures.

关 键 词：复杂系统 反馈环 Loops功能 计算方法 

分 类 号：N941.3[自然科学总论—系统科学]