Circuit Simulation Method in Mathematical Modeling

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.