Sensitivity Analysis of User Equilibrium Flows Revisited

This paper addresses certain misconceptions regarding what is known and what may be expected when performing sensitivity analyses of network user equilibrium flow patterns. Our presentation relies on a simple observation: any given user equilibrium sensitivity analysis technique should be employed o...

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Bibliographic Details
Published inNetworks and spatial economics Vol. 14; no. 2; pp. 183 - 207
Main Authors Chung, Byung Do, Cho, Hsun-Jung, Friesz, Terry L., Huang, Henh, Yao, Tao
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.06.2014
Springer Nature B.V
Subjects
Analysis
Civil Engineering
Economic theory
Economics
Economics and Finance
Equilibrium
Equilibrium flow
Mathematical models
Methods
Networks
Operations Research/Decision Theory
Regional/Spatial Science
Regularity
Sensitivity analysis
Studies
System theory
Regularity condition
Network user equilibrium
Sensitivity analysis
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Summary:This paper addresses certain misconceptions regarding what is known and what may be expected when performing sensitivity analyses of network user equilibrium flow patterns. Our presentation relies on a simple observation: any given user equilibrium sensitivity analysis technique should be employed only when the regularity conditions on which it is based are satisfied. Violating regularity, as we show through previously published numerical examples, as well as new examples presented here for the first time, may well lead to incorrect results when the Tobin-Friesz sensitivity analysis method is applied. This is especially so when the most critical regularity assumption of the Tobin-Friesz method, namely that the unperturbed solution must be a nondegenerate extreme point, is violated. We also illustrate how a degenerate unperturbed solution may sometimes be modified to obtain an appropriate nondegenerate solution, thereby allowing the Tobin-Friesz method to be applied.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1566-113X
1572-9427
DOI:10.1007/s11067-013-9215-5