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电路模拟方法在数学建模中的应用 被引量:1

Circuit Simulation Method in Mathematical Modeling
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摘要 本文采用电路模拟的方法来预测2008年北京奥运会体育场馆周围商区的消费需求情况。首先根据道路拓扑结构提取出相应电路结构,在每条导线(代表道路)上设置一个较大的控制电阻,根据电阻的阻值控制人流的流动规律,使电流和人流一样按一定比例选择可行的道路:同时在每条导线上串联一个较小的采样电阻,根据该电阻上的电压可求得该商区的人流量或消费需求。 In this paper we put forward a circuit simulation method to esitmate the consumption distribution of the business areas around the gymnasiums in Beijing for 2008 Olympic Games. First we obtain the circuit structure from the topology of the roads under certain rules. Then a large resistance (Control Resistance) is put on each connecting wire. The resistances are used to control the current distribution, making it exacly the same as the distribution of consumers. In series with each Control Resistance, a much smaller resistance (Sampling Resistance) is added. The consumption in each business area can be evaluated according to the voltage on these resistances.
出处 《工程数学学报》 CSCD 北大核心 2004年第B12期43-48,共6页 Chinese Journal of Engineering Mathematics
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