Sensitivity of Static Traffic User Equilibria with Perturbations in Arc Cost Function and Travel Demand

This paper deals with sensitivity analysis of static traffic user equilibrium problems. We apply some recently developed sensitivity analysis techniques for generalized equations to analyze the behavior of the equilibrium arc flow of such a problem when both the arc cost function and the travel dema...

Full description

Saved in:
Bibliographic Details
Published in:Transportation science 2008-02, Vol.42 (1), p.105-123
Main Author: Lu, Shu
Format: Article
Language:English
Subjects:
Analysis
Applied sciences
Continuous functions
Cost function
Cost functions
Demand analysis
Derivatives
Elasticity of demand
Equilibrium
Exact sciences and technology
Ground, air and sea transportation, marine construction
Homeomorphism
Linear equations
Mathematical functions
Perturbation (Mathematics)
perturbations
Sensitivity analysis
Studies
Traffic
Traffic flow
traffic user equilibrium
Transport economics
Transportation
Transportation demand
Transportation planning, management and economics
Transportation problem (Operations research)
Travel
Variational inequalities
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper deals with sensitivity analysis of static traffic user equilibrium problems. We apply some recently developed sensitivity analysis techniques for generalized equations to analyze the behavior of the equilibrium arc flow of such a problem when both the arc cost function and the travel demand vary. Our methods permit calculation of semiderivatives under general conditions and of derivatives under more restrictive conditions; we calculate the semiderivatives by solving a linear traffic user equilibrium problem and the derivatives by matrix multiplication together with the solution of a linear equation the dimension of which is at most the number of arcs. Three numerical examples show how to use these results in practice.
ISSN:0041-1655
1526-5447
DOI:10.1287/trsc.1070.0191