Unified closed-form expression of logit and weibit and its extension to a transportation network equilibrium assignment

Shoichiro Nakayama and Makoto Chikaraishi

Transportation Research Part B: Methodological, 2015, vol. 81, issue P3, 672-685

Abstract: 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.

Keywords: Closed-form expression; Logit; Weibit; Tsallis entropy; Transportation network equilibrium assignment (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (14)

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DOI: 10.1016/j.trb.2015.07.019

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