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Tytuł artykułu

Theoretical aspects of a stable dynamic traffic assignment strategy

Autorzy
Identyfikatory
Warianty tytułu
PL
Teoretyczne aspekty stabilnej strategii dynamicznego przydziału ruchu
Języki publikacji
EN
Abstrakty
EN
This paper addresses the theoretical aspects of a dynamical systems based on stable dynamie traffic assignment (DT A) strategy for traffic networks equipped with advanced information systems. A non-linear dynamical system formulation is proposed. The solution existence is analyzed. The concept of time-dependent link performance functions is used to capture the time dependency of dynamie traffic networks. The assumptions on the link performance functions and their implications for the stable DT A strategy are discussed. Insights on the model behavior and system properties are illustrated using a two-link network. The Lyapunov-based theoretical stability analysis is related to the conceptual stability definitions.
PL
Artykuł przedstawia teoretyczne aspekty dynamicznych systemów opartych na stabilnej strategii dynamicznego przydziału ruchu dla sieci wyposażonych w zaawansowane systemy informatyczne. Przedstawiono nieliniowy opis sytemu dynamicznego i zbadano istnienie rozwiązania. Do określenia zależności czasowych dynamicznych sieci ruchu użyto funkcji zależnych od czasu wykonywania połączeń. Przedyskutowano założenia funkcji wykonywania połączeń i ich skutków dla stabilnej strategii dynamicznego przydziału ruchu. Zachowanie się modelu i własności systemu są ilustrowane siecią dwupołączeniową. Analizę stabilności przeprowadzono o metodę Lapunowa.
Rocznik
Strony
77--93
Opis fizyczny
Bibliogr. 24 poz., rys.
Twórcy
autor
  • School of Civil Engineering, Civil Engineering Building, Purdue University, West Lafayette, IN, USA
autor
  • School of Civil Engineering, Civil Engineering Building, Purdue University, West Lafayette, IN, USA
Bibliografia
  • [1] Cantarella, G. E. and Cascetta, E., Dynamic processes and equilibrium in transportation networks: towards a unifying theory, Transportation Science, Vol. 29, 1995.
  • [2] Cascetta, E., A stochastic process approach to the analysis of temporal dynamics in transportation networks, Transportation Research, Part B, Vol. 23, 1989.
  • [3] Friesz, T. L., Bernstein, D., Mehta, N. J., Tobin, R. L., and Ganjalizadeh, S., Day-to-day dynamic network disequilibria and idealized traveler information systems, Operations Research, Vol. 42,1994.
  • [4] Grimshaw, R., Non-linear Ordinary Differential Equations, Blackwell Scientific Publications, Massachusetts, 1990.
  • [5] Horowitz, J. L., The stability of stochastic equilibrium in a two-link transportation network, Transportation Research, Part B, Vol. 18, 1984.
  • [6] Khalil, H. K., Non-linear Systems. Prentice Hall, New Jersey, 1996.
  • [7] Messmer, A. and Papageorgiou, M., Automatic control methods applied to freeway network traffic, Automatica Vol. 30,1994.
  • [8] Nagumey, A. and Zhang, D. Projected Dynamical Systems and Variational Inequalities with Applications, Kluwer Academic Publishers, Boston, Massachusetts, 1996.
  • [9] Nagumey, A. and Zhang, D. Projected dynamical systems in the formulation, stability analysis, and computation of fixed-demand traffic network equilibria, Transportation Science. Vol. 31. 1997.
  • [10] Pavlis, Y. and Papageorgiou, M. Simple decentralized feedback strategies for route guidance in traffic networks, Transportation Science, Vol. 33,1999.
  • [11] Peeta, S. System Optimal Dynamie Traffic Assignment In Congested Networks With Advanced Information Systems, Ph.D. dissertation, The University of Texas at Austin, 1994.
  • [12] Peeta, S. and Mahmassani, H. S., System optimal and user equilibrium time-dependent traffic assignment in congested networks, Annals of Operations Research, No. 60, 1995.
  • [13] Peeta, S. and Yang, T.-H. Stability issues for dynamic traffic assignment, Proceedings of the 9th IFAC Symposium Control in Transportation Systems 2000, Braunschweig, Germany, Vol. 2, 2000.
  • [14] Peeta, S. and Yang, T.-H. Stability of general dynamic traffic networks under on-line control strategies, Proceedings of the 6th International Conference on Applications of Advanced Technologies in Transportation Engineering, Singapore, June 2000, paper No. Al 116.
  • [15] Peeta, S. and Yang, T.-H., Stability of on-line route guidance strategies in dynamic traffic networks, Automatica, submitted for publication.
  • [16] Sheffi, Y., Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods, Prentice-Hall, New Jersey, 1985.
  • [17] Smith, M. J., Existence, uniqueness, and stability of traffic equilibria, Transportation Research, Part B, Vol. 13,1979.
  • [18] Smith, M. J., The stability of a dynamic model of traffic assignment - an application of a method of Lyapunov, Transportation Science, Vol. 18, 1984.
  • [19] Wardrop, J. G., Some theoretical aspects of road traffic research, Proceedings of the Institute of Civil Engineers, Part II, 1952, pp. 325-378.
  • [20] Watling, D., Perturbation stability of the asymmetric stochastic equilibrium assignment model, Transportation Research, Part B, Vol. 32,1998.
  • [21] Watling, D. Stability of the stochastic equilibrium assignment problem: a dynamical systems approach, Transportation Research, Part B, Vol. 33,1999.
  • [22] Yang, T.-H. Deployable Stable Traffic Assignment Models for Control in Dynamic Traffic Networks: A Dynamical Systems Approach, Ph.D. dissertation, Purdue University, 2001.
  • [23] Zhang, D. and Nagumey, A., On the stability of projected dynamical systems, Journal of Optimization Theory and Applications, Vol. 85, 1995.
  • [24] Zhang, D. and Nagumey, A., On the local and global stability of a travel route choice adjustment process, Transportation Research, Part B, Vol. 30, 1996.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ3-0003-0023
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