Normalization and correlation of cross-nested logit models

E. Abbe, M. Bierlaire, T. Toledo

Research output: Contribution to journalArticlepeer-review

48 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)795-808
Number of pages14
JournalTransportation Research Part B: Methodological
Issue number7
StatePublished - Aug 2007

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Transportation


  • Behavior models
  • Correlations
  • Generalized extreme-value
  • Logit models
  • Model estimation
  • Route choice


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