@article{oai:kanazawa-u.repo.nii.ac.jp:00009258,
 author = {中山, 晶一朗 and Nakayama, Shoichiro and Chikaraishi, Makoto},
 journal = {Transportation Research Part B: Methodological},
 month = {Nov},
 note = {This study proposes a generalized multinomial logit model that allows heteroscedastic variance and flexible utility function shape. The novelty of our approach is that the model is theoretically derived by applying a generalized extreme-value distribution to the random component of utility, while retaining its closed-form expression. In addition, the weibit model, in which the random utility is assumed to follow the Weibull distribution, is a special case of the proposed model. This is achieved by utilizing the q-generalization method developed in Tsallis statistics. Then, our generalized logit model is incorporated into a transportation network equilibrium model. The network equilibrium model with a generalized logit route choice is formulated as an optimization problem for uncongested networks. The objective function includes Tsallis entropy, a type of generalized entropy. The generalization of the Gumbel and Weibull distributions, logit and weibit models, and network equilibrium model are formulated within a unified framework with q-generalization or Tsallis statistics. © 2015 Elsevier Ltd., Embargo Period 24 months},
 pages = {672--685},
 title = {Unified closed-form expression of logit and weibit and its extension to a transportation network equilibrium assignment},
 volume = {81},
 year = {2015}
}