Examining the scaling effect and overlapping problem in logit-based stochastic user equilibrium models

Chen, Anthony; Pravinvongvuth, Surachet; Xu, Xiangdong; Ryu, Seungkyu; Chootinan, Piya

doi:10.1016/j.tra.2012.04.003

Cited by 51 publications

(43 citation statements)

References 42 publications

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“…Note that Daganzo (1982) and Sheffi and Powell (1982) also examined the unconstrained formulation. Prashker and Bekhor (1999), Bekhor and Prashker (1999), Bekhor and Prashker (2001), Chen et al (2012) formulated the network equilibrium problems with cross-nested logit, paired combinatorial logit, generalized nested logit, and path-size logit, respectively. More recently, Zhou et al (2012) considered the C-logit route choice in traffic assignment.…”

Section: Congested Network Casementioning

confidence: 99%

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

Nakayama

Chikaraishi

2015

Transportation Research Part B: Methodological

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a b s t r a c tThis 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.

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Section: Congested Network Casementioning

confidence: 99%

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

Nakayama

Chikaraishi

2015

Transportation Research Part B: Methodological

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“…Similar to Chen et al (2012) and Kitthamkesorn and Chen (2013), we use a path-size (PS) factor defined below to further handle the route overlapping problem. Conceptually, it accounts for different route sizes determined by the length of links within a route and the relative lengths of routes that share a link (Ben-Akiva and Bierlaire, 1999).…”

Section: An Extension To Route Overlapping Considerationmentioning

confidence: 99%

Modeling absolute and relative cost differences in stochastic user equilibrium problem

Chen

Kitthamkesorn

et al. 2015

Transportation Research Part B: Methodological

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“…Chen et al investigated the scaling effect and overlapping problem in a route choice context using the C-logit and other correlative logit model to explicitly account for the congestion effect. ey demonstrated that the scaling effect and overlapping problem made a significant impact on the equilibrium flow distribution [15,16].…”

Section: Introductionmentioning

confidence: 99%

A Simplified C-Logit Stochastic User Equilibrium Model on Bimodal Transportation Network

Liu

Zhang

2020

Mathematical Problems in Engineering

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This paper investigates the C-logit stochastic user equilibrium (SUE) problem on a bimodal transportation network with road and rail travel modes. The C-logit model captures the overlapping effect among the different paths via commonality factors; sequentially, it has ability to obtain a more realistic traffic flow distribution pattern. In this paper, when we redefine the link travel cost functions and employ a binary Logit model for the mode split, the bimodal C-logit SUE model can be simplified into an unconstrained nonlinear mathematical programming formulation. Such model is verified to satisfy the bimodal C-logit SUE conditions at its stationary point and can be solved by existing algorithms. So, the simplified model can be convenient to be used on the general bimodal transportation network.

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Examining the scaling effect and overlapping problem in logit-based stochastic user equilibrium models

Cited by 51 publications

References 42 publications

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

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

Modeling absolute and relative cost differences in stochastic user equilibrium problem

A Simplified C-Logit Stochastic User Equilibrium Model on Bimodal Transportation Network

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