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

Liu, Bingquan; Zhang, Yonghong; Du, Wei

doi:10.1155/2020/3702965

Cited by 3 publications

(2 citation statements)

References 26 publications

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“…Similarly, if the increase of population density in one residential location leads to the increase of population density in another residential location, positive spatial-temporal correlations then exist between population densities in these two residential locations. e space-time correlation of population densities can be considered, with the nested logit model (e.g., [4][5][6]) and the C-logit model (e.g., [6][7][8][9]). In these nested logit models and C-logit models, spatial-temporal correlation of population densities was considered in the residential locations and/or travel choice behaviours of households.…”

Section: Motivation and Literature Reviewmentioning

confidence: 99%

Incorporating Space-Time Correlation of Population Densities into the Design of a Candidate Rail Transit Line over Years

Liu

Zhang

Xie

2021

Discrete Dynamics in Nature and Society

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In contrast to private cars, rail transit systems are a more effective way to deal with the emerging challenges in cities with high population densities, such as congestion, air pollution, and traffic emissions. Rail transit systems, however, are commonly costly, due to substantial investments in construction and maintenance. It is thus necessary to design the candidate rail transit systems carefully to ensure public transport accessibility and sustainability, with consideration of the space-time correlation of population densities. In this paper, the space-time correlations of population densities are incorporated into the design of a candidate rail transit line over years. A closed-formed mathematical programming model is proposed, with an optimisation objective of social welfare budget maximisation. The social welfare budget is defined as the summation of the expected social welfare and social welfare margins. The model decision variables include rail line length, rail station number, and project start time of the candidate rail transit line. The analytical solutions for the proposed rail design model are given explicitly for different scenarios with various constraints.

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Section: Motivation and Literature Reviewmentioning

confidence: 99%

Incorporating Space-Time Correlation of Population Densities into the Design of a Candidate Rail Transit Line over Years

Liu

Zhang

Xie

2021

Discrete Dynamics in Nature and Society

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“…To alleviate the above two disadvantages, some extended logit-based SUE models have been proposed in recent two decades, such as C-Logit SUE (CL-SUE) model [13][14][15][16], generalized nested logit SUE (GNL-SUE) model [17], crossnested logit SUE (CNL-SUE) model [18,19], and paired combinatorial logit SUE (PCL-SUE) model [20]. Other significant theoretical achievements in [21,22] have also made a contribution to overcoming the disadvantages of the logit-based SUE model.…”

Section: Introductionmentioning

confidence: 99%

Bounding the Inefficiency of the Multiclass, Multicriteria C‐Logit Stochastic User Equilibrium in a Transportation Network

2021

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We derive the exact inefficiency upper bounds of the multiclass C-Logit stochastic user equilibrium (CL-SUE) in a transportation network. All travelers are classified on the basis of different values of time (VOT) into M classes. The multiclass CL-SUE model gives a more realistic path choice probability in comparison with the logit-based stochastic user equilibrium model by considering the overlapping effects between paths. To find efficiency loss upper bounds of the multiclass CL-SUE, two equivalent variational inequalities for the multiclass CL-SUE model, i.e., time-based variational inequality (VI) and monetary-based VI, are formulated. We give four different methods to define the inefficiency of the multiclass CL-SUE, i.e., to compare multiclass CL-SUE with multiclass system optimum, or to compare multiclass CL-SUE with multiclass C-Logit stochastic system optimum (CL-SSO), under the time-based criterion and the monetary-based criterion, respectively. We further investigate the effects of various parameters which include the degree of path overlapping (the commonality factor), the network complexity, degree of traffic congestion, the VOT of user classes, the network familiarity, and the total demand on the inefficiency bounds.

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A stochastic user equilibrium model solving overlapping path and perfectly rational issues

Yan

Guo

2021

J. Cent. South Univ.

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

Cited by 3 publications

References 26 publications

Incorporating Space-Time Correlation of Population Densities into the Design of a Candidate Rail Transit Line over Years

Incorporating Space-Time Correlation of Population Densities into the Design of a Candidate Rail Transit Line over Years

Bounding the Inefficiency of the Multiclass, Multicriteria C‐Logit Stochastic User Equilibrium in a Transportation Network

A stochastic user equilibrium model solving overlapping path and perfectly rational issues

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