Day-to-day and within-day network dynamics encapsulating hyperbolic traffic behavior

Hsun-Jung Cho*, Miag Chorng Hwang, Hsien Hung Shih

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In most historical studies, link cost function applied in solving the dynamic traffic assignment problem is assumed as a separable function of link flaw itself. Further developments of a non-linear theory for the network dynamics in the presence of hyperbolic traffic behavior are presented in this paper. By dividing a time period of interest into several minute intervals, both day-to-day and within-day evolutions of system variables are embedded in the proposed formulation simultaneously. In particular, dynamic traffic flow model, the Lighthill-Whitham-Richards model, is introduced into whole system dynamics and the corresponding path cost operator is also derived. Based on this methodology, the Network Traffic Dynamics Simulator (NTDS) is developed and the simulation results of a real road network at Hsinchu Science-based Industrial Park (HSIP) are also presented. We numerically show that the steady state of proposed dynamic system satisfies the Wardrop's user equilibrium.

Original languageEnglish
Title of host publicationConference Proceeding - 2004 IEEE International Conference on Networking, Sensing and Control
Pages850-855
Number of pages6
DOIs
StatePublished - 28 Jun 2004
EventConference Proceeding - 2004 IEEE International Conference on Networking, Sensing and Control - Taipei, Taiwan
Duration: 21 Mar 200423 Mar 2004

Publication series

NameConference Proceeding - IEEE International Conference on Networking, Sensing and Control
Volume2

Conference

ConferenceConference Proceeding - 2004 IEEE International Conference on Networking, Sensing and Control
CountryTaiwan
CityTaipei
Period21/03/0423/03/04

Keywords

  • Day-to-day network dynamics
  • Dynamic traffic assignment
  • Hyperbolic traffic flow
  • Stability
  • Traffic simulation

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