Sensitivity analysis for a continuum traffic equilibrium problem: Fid-Bau Portal

Fachinformationsdienst BAUdigital

A platform for research: civil engineering, architecture and urbanism

Sensitivity analysis for a continuum traffic equilibrium problem

Wong, S. C. / Du, Y. C. / Sun, L. J. / Loo, B. P. Y.

Abstract This paper develops a sensitivity analysis for the continuum traffic equilibrium problem of a city with several competing facilities. In the city, the customers’ origins are continuously dispersed. We assume that the customer demand is dependent on the total cost of patronizing these facilities. Specific travel cost–flow relationships are considered. The choice of facility in the continuum transportation system follows a user equilibrium principle in which from each origin, no customer can reduce their individual cost to patronize any of the facilities by unilaterally changing route or facility. The problem can be formulated as a minimization problem that is subject to a set of constraints and solved with a finite element method. The sensitivity analysis is based on the implicit function theorem at the equilibrium solution. A numerical example is presented to illustrate the applications of these sensitivity analysis results.

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Sensitivity analysis for a continuum traffic equilibrium problem

Wong, S. C. / Du, Y. C. / Sun, L. J. / Loo, B. P. Y.

Abstract This paper develops a sensitivity analysis for the continuum traffic equilibrium problem of a city with several competing facilities. In the city, the customers’ origins are continuously dispersed. We assume that the customer demand is dependent on the total cost of patronizing these facilities. Specific travel cost–flow relationships are considered. The choice of facility in the continuum transportation system follows a user equilibrium principle in which from each origin, no customer can reduce their individual cost to patronize any of the facilities by unilaterally changing route or facility. The problem can be formulated as a minimization problem that is subject to a set of constraints and solved with a finite element method. The sensitivity analysis is based on the implicit function theorem at the equilibrium solution. A numerical example is presented to illustrate the applications of these sensitivity analysis results.

Sensitivity analysis for a continuum traffic equilibrium problem

Wong, S. C. / Du, Y. C. / Sun, L. J. / Loo, B. P. Y.

Abstract This paper develops a sensitivity analysis for the continuum traffic equilibrium problem of a city with several competing facilities. In the city, the customers’ origins are continuously dispersed. We assume that the customer demand is dependent on the total cost of patronizing these facilities. Specific travel cost–flow relationships are considered. The choice of facility in the continuum transportation system follows a user equilibrium principle in which from each origin, no customer can reduce their individual cost to patronize any of the facilities by unilaterally changing route or facility. The problem can be formulated as a minimization problem that is subject to a set of constraints and solved with a finite element method. The sensitivity analysis is based on the implicit function theorem at the equilibrium solution. A numerical example is presented to illustrate the applications of these sensitivity analysis results.

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Document information

Title:

Sensitivity analysis for a continuum traffic equilibrium problem

Contributors:

Wong, S. C. (author) / Du, Y. C. (author) / Sun, L. J. (author) / Loo, B. P. Y. (author)

Published in:

The Annals of Regional Science ; 40

Publication date:

2006

ISSN:

DOI:

https://doi.org/10.1007/s00168-006-0071-9

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Regionalökonomik , Zeitschrift , Online-Ressource , Umweltforschung , Regionalforschung , Raumordnung , Umweltwissenschaften , Regionalwissenschaft

Classification:

BKL: 83.64$jRegionalwirtschaft / 74.12 Stadtgeographie, Siedlungsgeographie / 38.00$jGeowissenschaften: Allgemeines / 38.00 Geowissenschaften: Allgemeines / 83.64 Regionalwirtschaft / 74.12$jStadtgeographie$jSiedlungsgeographie
RVK: ELIB39 / ELIB18 / ELIB45
Local classification FBW: oek 4450

Similar titles

Sensitivity analysis for a continuum traffic equilibrium problem

Wong, S. C. / Du, Y. C. / Sun, L. J. et al. | Online Contents | 2006

Cordon-based congestion pricing in a continuum traffic equilibrium system

Ho, H.W. / Wong, S.C. / Yang, Hai et al. | Elsevier | 2005

Cordon-based congestion pricing in a continuum traffic equilibrium system

Ho, H.W. | Online Contents | 2005

Applicability of sensitivity analysis of the traffic assignment problem

Bennett, D. / Sheer, A. F. / European Transport Forum | British Library Conference Proceedings | 1997

Direct Continuum Approach to Three-Dimensional Sensitivity Analysis.

Zhao, Zhiye | Online Contents | 1993