Non-linear Transport Phenomena Observed on a Complex Network with the Parameter Estimation
Proceedings of the 18th Traffic Flow Simulation Symposium
We constructed a model that estimates the amount of transaction between 40,000 business firms in Japan from the total sales value of each firm. We apply this model to a business firm network comprised of about 600,000 firms in Japan to reproduce the sales values that represent the scale of the firms from only the link structures in the network. This model is a general model of non-linear transport phenomena including the effect of dissipation and injection, which reproduces PageRank in some parameter set. Here we show the parameter estimation method of the model and find a high correlation value between simulation results and real sales values.
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Tokyo Institute of Technology
Wataru Miura, Koutarou Tamura, Satoshi Kitajima, Hayato Goto, Hideki Takayasu, and Misako Takayasu