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.
文章引用: 胡文君 , 周溪召 (2013) 出行分布矩阵的极大熵估计法比较研究。 交通技术， 2， 147-153. doi: 10.12677/OJTT.2013.22027
 L. G. Willumsen. Simplified transport models based on traffic counts. Transportation Research Part B, 1981, 10(3): 257-278.
 J. Ortuzar, L. G. Willumsen. Modelling transport. 3rd Edition, Chichester: Wiley, 2001.
 M. Van Aered, H. Rakha and H. Paramhamsan. Estimation of OD matrices: The relationship between practical and theoretical considerations. Transportation Research Record No. 1831, 1831: 122-130.
 马广英, 李平, 闻育. 基于极大嫡模型的交通出行矩阵解法研究[J]. 浙江大学学报(工学版), 2006, 40(10): 1779-1782.
 周晶, 陈森发, 徐南荣. 均衡交通状态下OD矩阵的估计方法[J]. 信息与控制, 1993, 225(2): 71-82.
 邵春福. 交通规划原理[M]. 北京: 人民铁道出版社, 2006.
 J. H. Van Zuylen, L. G. Willumsen. The most likely trip matrix esti- mated from traffic counts. Transportation Research Part B, 1980, 14B(3): 281-293.