Behaviours in a dynamical model of traffic assignment with elastic demand

This paper investigates the dynamical behaviour of network traffic flow. Assume that trip rates may be influenced by the level of service on the network and travellers are willing to take a faster route. A discrete dynamical model for the day-to-day adjustment process of route choice is presented. The model is then applied to a simple network for analysing the day-to-day behaviours of network flow. It finds that equilibrium is arrived if network flow consists of travellers not very sensitive to the differences of travel cost. Oscillations and chaos of network traffic flow are also found when travellers are sensitive to the travel cost and travel demand in a simple network.

[1]  Gong Qi-Huang,et al.  Investigation on ultrafast third-order optical nonlinearity of metal(dmit)2/(mnt)2 charge transfer complexes , 2003 .

[2]  Wang Bing-Hong,et al.  Using random proportional pulse feedback of system variables to control chaos and hyperchaos , 2001 .

[3]  Li Ke-Ping,et al.  Improving the prediction of chaotic time series , 2003 .

[4]  Wang Bing-Hong,et al.  Sub-strategy updating evolution in minority game , 2003 .

[5]  Anna Nagurney,et al.  Formulation, Stability, and Computation of Traffic Network Equilibria as Projected Dynamical Systems , 1997 .

[6]  Ennio Cascetta,et al.  Transportation Systems Engineering: Theory and Methods , 2001 .

[7]  Li Ke-Ping,et al.  Improvement of driving safety in road traffic system , 2005 .

[8]  Michael J. Smith,et al.  The Stability of a Dynamic Model of Traffic Assignment - An Application of a Method of Lyapunov , 1984, Transp. Sci..

[9]  Peter Nijkamp,et al.  (Un)predictability in Traffic and Transport Decision Making , 1999 .

[10]  Shlomo Havlin,et al.  Delay-induced chaos with multifractal attractor in a traffic flow model , 2002 .

[11]  Yosef Sheffi,et al.  Urban Transportation Networks: Equilibrium Analysis With Mathematical Programming Methods , 1985 .

[12]  J. Horowitz.  The stability of stochastic equilibrium in a two-link transportation network , 1984 .

[13]  Terry L. Friesz,et al.  Day-To-Day Dynamic Network Disequilibria and Idealized Traveler Information Systems , 1994, Oper. Res..

[14]  Dimitrios S. Dendrinos,et al.  Traffic-flow dynamics: A search for chaos , 1994 .

[15]  Anna Nagurney,et al.  Projected Dynamical Systems in the Formulation, Stability Analysis, and Computation of Fixed-Demand Traffic Network Equilibria , 1997, Transp. Sci..

[16]  Ziyou Gao,et al.  NONLINEAR DYNAMICS ANALYSIS OF TRAFFIC TIME SERIES , 2004 .

[17]  G. Haag.  Book review: Sociodynamics–A systematic approach to mathematical modelling in the social sciences, by Wolfgang Weidlich , 2000 .

[18]  Xu Wei,et al.  Stochastic resonance in an asymmetric bistable system driven by multiplicative and additive noise , 2005 .

[19]  Y Iida,et al.  Transportation Network Analysis , 1997 .

[20]  Michael G.H. Bell,et al.  Transportation Network Analysis: Bell/Transportation Network Analysis , 1997 .

[21]  Xiaoyan Zhang,et al.  Chaos in a dynamic model of traffic flows in an origin-destination network. , 1998, Chaos.