系统动力学 (SD) 模型的流率是动态仿真决策 控制要素, 但在SD方法中, 仅给出定义式, 解析范式缺失, 实际应用常采用模糊确定的表函数. 由于SD模型的流位演进流率与粒子群算法(PSO) 的粒 子进化速度属性类同, 则在析解流率决策控制机制与粒子进化速度方程的基础上, 依据粒子进化的结构原理, 讨论流率函数结构, 建立多功效流率函数解析式, 提出系数估 计策略, 构造动态仿真算法. 以区域生态经济系统动态仿真为例, 将流率函数及其系 数估计策略和动态仿真算法加以实际应用, 以检验多功效流率函数的有效性和适用性. 多 功效流率函数物理意义明确, 具有可比可控性、结构优化性和减少主观性等多重功效, 可作为SD方法中流率函数的范式.

The flow rate of system dynamics (SD) is decision-making control elements of dynamic simulation, however, the SD method aren't only given definitions but also lacked analytical normal form, and its practical application is often fuzzy identify table function. Because the properties of an evolution of flow rate for SD model and evolution speed of PSO particle are similar, on the basis of analysis decision control mechanism of flow rate and velocity equation of particle evolution, further, according to the structure principle of particle evolution, this paper discussed the function structure of flow rate, and established the analytical normal form of more efficacy flow rate, and put forward the coefficient estimation strategy, and constructed the dynamic simulation algorithm. Taking the SD dynamic simulation of regional ecological economic system as an example, by applying the more efficacy function of flow rate and its parameter estimation strategy and dynamic simulation algorithm to the practical application, and to test its effectiveness and applicability, and the physical meaning of more efficacy function of flow rate is clear, and that it has multiple functions of comparable controllable, structural optimization and diminished the subjectivity, and that it will can be used as a normal form of flow rate function in SD method.