# 出行分布矩阵的极大熵估计法比较研究Compare of the Estimation Method of Matrix Based on Maximum Entropy Model

Abstract:
Maximum Entropy model is an efficient and simple model to estimate origin destination matrix. After introducing the formation and principle of basic maximum entropy model, this article uses Stirling approximate formula and log sum approximate formula to simplify basic model and obtains six improved models. Then it tests seven models in two networks under three different conditions, namely the total demand is fixed or unfixed, the prior matrix is feasible or unfeasible and the node continuity condition is satisfied or unsatisfied and compare the properties of these models. The results show that they show uniform in searching for optimum solutions. However, several formations produce large errors under some circumstances, which restrict their applications in reality.

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