Insights on a stable route guidance model for real-time deployment

This paper explores the stability issues for a dynamical system based traffic assignment model for vehicular traffic networks equipped with advanced information systems and develops a real-time deployable solution algorithm. Experimental analysis suggests that the algorithm can efficiently provide real-time stable solutions while accounting for time-dependent variations in the system. The results are compared to those of the benchmark deterministic dynamic traffic assignment and the rolling horizon implementation based models.

[1]  A. Nagurney,et al.  On the stability of projected dynamical systems , 1995 .

[2]  J. G. Wardrop,et al.  Some Theoretical Aspects of Road Traffic Research , 1952 .

[3]  E. Cascetta A stochastic process approach to the analysis of temporal dynamics in transportation networks , 1989 .

[4]  Giulio Erberto Cantarella,et al.  Dynamic Processes and Equilibrium in Transportation Networks: Towards a Unifying Theory , 1995, Transp. Sci..

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

[6]  J. Wardrop ROAD PAPER. SOME THEORETICAL ASPECTS OF ROAD TRAFFIC RESEARCH. , 1952 .

[7]  D. Watling STABILITY OF THE STOCHASTIC EQUILIBRIUM ASSIGNMENT PROBLEM: A DYNAMICAL SYSTEMS APPROACH , 1999 .

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

[9]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[10]  Anna Nagurney,et al.  On the local and global stability of a travel route choice adjustment process , 1996 .

[11]  A. Nagurney,et al.  Projected Dynamical Systems and Variational Inequalities with Applications , 1995 .

[12]  Mike Smith,et al.  The existence, uniqueness and stability of traffic equilibria , 1979 .

[13]  Peeta Srinivas,et al.  System optimal dynamic traffic assignment in congested networks with advanced information systems. , 1996 .

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

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