Normalization and correlation of cross-nested logit models

被引:39
作者
Abbe, E. [1 ]
Bierlaire, M.
Toledo, T.
机构
[1] MIT, Informat & Decis Syst Lab, Cambridge, MA 01239 USA
[2] Ecole Polytech Fed Lausanne, Transport & Mobil Lab, Lausanne, Switzerland
[3] Technion Israel Inst Technol, Transport Res Inst, IL-32000 Haifa, Israel
关键词
behavior models; logit models; generalized extreme-value; correlations; route choice; model estimation;
D O I
10.1016/j.trb.2006.11.006
中图分类号
F [经济];
学科分类号
02 ;
摘要
We address two fundamental issues associated with the use of cross-nested logit models. On the one hand, we justify the adequate normalization of the model proposed by Wen and Koppelman [Wen, C.-H., Koppelman, F.S., 2001. The generalized nested logit model. Transportation Research Part B 35(7), 627-641]. On the other hand, we provide an analysis of the correlation structure of the CNL, based on random utility theory. We evaluate the validity of the approximation proposed by Papola [Papola, A., 2004. Some developments on the cross-nested logit model. Transportation Research B 38(9), 833-851], both using theoretical arguments and numerical examples based on the exact formula of the correlation. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:795 / 808
页数:14
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