A stimulus-response model of day-to-day network dynamics

Hsun-Jung Cho*, Ming Chorng Hwang

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

A general structure of stimulus-response formula is presented to specify the interacted network dynamics in a day-to-day time scale under the assumption of a learning and adaptive behavioral process. By taking the time derivative of system variable as a reaction in stimulus-response equation the evolution of whole system is formulated as a dynamical system. Issue of stability for the proposed differential equations are briefly discussed. Approximation of time dependent route-choice model is derived from the addressed path flow dynamics. The threshold effect on path flow dynamics is developed in term of defining a discontinuous stimulus. Quasi user equilibrium is researched to be a steady state when all users feel indifferent between experienced travel time and predicted travel time provided by Advanced Traveler Information Systems. The proposed quasi user equilibrium is reduced to Wardrop's user equilibrium if threshold effect is vanishing.

Original languageEnglish
Title of host publicationProceedings of the 2003 IEEE International Conference on Intelligent Transportation Systems, ITSC 2003
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages819-826
Number of pages8
ISBN (Electronic)0780381254
DOIs
StatePublished - 1 Jan 2003
Event2003 IEEE International Conference on Intelligent Transportation Systems, ITSC 2003 - Shanghai, China
Duration: 12 Oct 200315 Oct 2003

Publication series

NameIEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC
Volume1

Conference

Conference2003 IEEE International Conference on Intelligent Transportation Systems, ITSC 2003
CountryChina
CityShanghai
Period12/10/0315/10/03

Keywords

  • day-to-day network dynamics
  • quasi user equilibrium
  • stimulus-response formula
  • threshold behavior

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