A logit-based stochastic user equilibrium model with asymmetric travel costs

Chao Yang; Anthony Chen; Xiao Hong Chen

A logit-based stochastic user equilibrium model with asymmetric travel costs

Chao Yang, Anthony Chen, Xiao Hong Chen

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

Abstract

In most logit-based stochastic user equilibrium (SUE) models, the Jacobian of link cost function is required to be either diagonal or symmetrical. Due to this assumption, applications of the SUE model in evaluating network flow pattern are limited. In this paper, a logit-based SUE model with asymmetric travel costs (ATC) is proposed, which is formulated as a nonlinear complementarity problem (NCP). By assuming that the feasible path set satisfies the Markov property, the proposed NCP-SUE-ATC model is defined in the commodity-based link-flow space to avoid path enumeration. Qualitative analysis of the proposed NCP-SUE-ATC model is given. Quantitative numerical examples using a PATH solver in the GAMS software are also presented to demonstrate the feasibility of the proposed model.

Original language	English
Title of host publication	Transportation and the Economy - Proceedings of the 10th International Conference of Hong Kong Society for Transportation Studies, HKSTS 2005
Pages	278-286
Number of pages	9
Publication status	Published - 1 Dec 2005
Externally published	Yes
Event	10th International Conference of Hong Kong Society for Transportation Studies: Transportation and the Economy, HKSTS 2005 - Kowloon, Hong Kong Duration: 10 Dec 2005 → 10 Dec 2005

Conference

Conference	10th International Conference of Hong Kong Society for Transportation Studies: Transportation and the Economy, HKSTS 2005
Country/Territory	Hong Kong
City	Kowloon
Period	10/12/05 → 10/12/05

Keywords

Nonlinear complementarity problem
Stochastic user equilibrium
Traffic assignment

ASJC Scopus subject areas

Automotive Engineering
Civil and Structural Engineering
Mechanical Engineering
Safety, Risk, Reliability and Quality

Cite this

@inproceedings{b902797fa86f4f7fa4a7827103b7d181,

title = "A logit-based stochastic user equilibrium model with asymmetric travel costs",

abstract = "In most logit-based stochastic user equilibrium (SUE) models, the Jacobian of link cost function is required to be either diagonal or symmetrical. Due to this assumption, applications of the SUE model in evaluating network flow pattern are limited. In this paper, a logit-based SUE model with asymmetric travel costs (ATC) is proposed, which is formulated as a nonlinear complementarity problem (NCP). By assuming that the feasible path set satisfies the Markov property, the proposed NCP-SUE-ATC model is defined in the commodity-based link-flow space to avoid path enumeration. Qualitative analysis of the proposed NCP-SUE-ATC model is given. Quantitative numerical examples using a PATH solver in the GAMS software are also presented to demonstrate the feasibility of the proposed model.",

keywords = "Nonlinear complementarity problem, Stochastic user equilibrium, Traffic assignment",

author = "Chao Yang and Anthony Chen and Chen, {Xiao Hong}",

year = "2005",

month = dec,

day = "1",

language = "English",

isbn = "9789889884710",

pages = "278--286",

booktitle = "Transportation and the Economy - Proceedings of the 10th International Conference of Hong Kong Society for Transportation Studies, HKSTS 2005",

note = "10th International Conference of Hong Kong Society for Transportation Studies: Transportation and the Economy, HKSTS 2005 ; Conference date: 10-12-2005 Through 10-12-2005",

}

Yang, C, Chen, A & Chen, XH 2005, A logit-based stochastic user equilibrium model with asymmetric travel costs. in Transportation and the Economy - Proceedings of the 10th International Conference of Hong Kong Society for Transportation Studies, HKSTS 2005. pp. 278-286, 10th International Conference of Hong Kong Society for Transportation Studies: Transportation and the Economy, HKSTS 2005, Kowloon, Hong Kong, 10/12/05.

A logit-based stochastic user equilibrium model with asymmetric travel costs. / Yang, Chao; Chen, Anthony; Chen, Xiao Hong.
Transportation and the Economy - Proceedings of the 10th International Conference of Hong Kong Society for Transportation Studies, HKSTS 2005. 2005. p. 278-286.

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

TY - GEN

T1 - A logit-based stochastic user equilibrium model with asymmetric travel costs

AU - Yang, Chao

AU - Chen, Anthony

AU - Chen, Xiao Hong

PY - 2005/12/1

Y1 - 2005/12/1

N2 - In most logit-based stochastic user equilibrium (SUE) models, the Jacobian of link cost function is required to be either diagonal or symmetrical. Due to this assumption, applications of the SUE model in evaluating network flow pattern are limited. In this paper, a logit-based SUE model with asymmetric travel costs (ATC) is proposed, which is formulated as a nonlinear complementarity problem (NCP). By assuming that the feasible path set satisfies the Markov property, the proposed NCP-SUE-ATC model is defined in the commodity-based link-flow space to avoid path enumeration. Qualitative analysis of the proposed NCP-SUE-ATC model is given. Quantitative numerical examples using a PATH solver in the GAMS software are also presented to demonstrate the feasibility of the proposed model.

AB - In most logit-based stochastic user equilibrium (SUE) models, the Jacobian of link cost function is required to be either diagonal or symmetrical. Due to this assumption, applications of the SUE model in evaluating network flow pattern are limited. In this paper, a logit-based SUE model with asymmetric travel costs (ATC) is proposed, which is formulated as a nonlinear complementarity problem (NCP). By assuming that the feasible path set satisfies the Markov property, the proposed NCP-SUE-ATC model is defined in the commodity-based link-flow space to avoid path enumeration. Qualitative analysis of the proposed NCP-SUE-ATC model is given. Quantitative numerical examples using a PATH solver in the GAMS software are also presented to demonstrate the feasibility of the proposed model.

KW - Nonlinear complementarity problem

KW - Stochastic user equilibrium

KW - Traffic assignment

UR - http://www.scopus.com/inward/record.url?scp=84894600683&partnerID=8YFLogxK

M3 - Conference article published in proceeding or book

SN - 9789889884710

SN - 9889884712

SP - 278

EP - 286

BT - Transportation and the Economy - Proceedings of the 10th International Conference of Hong Kong Society for Transportation Studies, HKSTS 2005

T2 - 10th International Conference of Hong Kong Society for Transportation Studies: Transportation and the Economy, HKSTS 2005

Y2 - 10 December 2005 through 10 December 2005

ER -

A logit-based stochastic user equilibrium model with asymmetric travel costs

Abstract

Conference

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this