ANALYSIS OF TRAFFIC MODELS FOR DYNAMIC EQUILIBRIUM TRAFFIC ASSIGNMENT

The authors investigate the properties and suitability of various traffic models for use in dynamic assignment using an analysis based upon a dynamic extension of Wardrop's equilibrium condition for route choice. The authors consider various requirements of plausible traffic behavior, notably conservation of traffic and dependence only on traffic downstream, and establish the crucial importance of the latter in the present context. General analytical results are complemented by calculations for simple example networks: this shows that the deterministic queuing and the kinematic wave models of traffic are suitable for this use, but that several other traffic models that are used widely give rise to dynamic assignments that have unacceptable characteristics.

[1]  Terry L. Friesz,et al.  The Augmented Lagrangian Method for Solving Dynamic Network Traffic Assignment Models in Discrete Time , 1994, Transp. Sci..

[2]  Kerner,et al.  Cluster effect in initially homogeneous traffic flow. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  Deepak K. Merchant,et al.  A Model and an Algorithm for the Dynamic Traffic Assignment Problems , 1978 .

[4]  M B Wistem,et al.  A DISTRIBUTED ALGORITHM FOR THE DYNAMIC TRAFFIC EQUILIBRIUM ASSIGNMENT PROBLEM , 1996 .

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

[6]  Bin Ran,et al.  Solving an Instantaneous Dynamic User-Optimal Route Choice Model , 1995, Transp. Sci..

[7]  Vanolin F. Hurdle.  On a Paper by Andre de Palma, Moshe Ben-Akiva, Claude Lefèvre, and Nicolaos Litinas Entitled “Stochastic Equilibrium Model of Peak Period Traffic Congestion” , 1986 .

[8]  Markos Papageorgiou,et al.  Dynamic modeling, assignment, and route guidance in traffic networks , 1990 .

[9]  Robin Lindsey,et al.  DEPARTURE TIME AND ROUTE CHOICE FOR THE MORNING COMMUTE , 1990 .

[10]  Benjamin Heydecker,et al.  An exact expression of dynamic traffic equilibrium , 1996 .

[11]  Hai-Jun Huang,et al.  Dynamic user optimal traffic assignment model for many to one travel demand , 1995 .

[12]  M J Lighthill,et al.  On kinematic waves II. A theory of traffic flow on long crowded roads , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[13]  G. F. Newell.  Traffic Flow for the Morning Commute , 1988, Transp. Sci..

[14]  M O Ghali,et al.  TRAFFIC ASSIGNMENT, TRAFFIC CONTROL AND ROAD PRICING. , 1993 .

[15]  Y. W. Xu,et al.  Advances in the Continuous Dynamic Network Loading Problem , 1996, Transp. Sci..

[16]  Anthony Chen,et al.  A DYNAMIC TRAFFIC ASSIGNMENT MODEL WITH TRAFFIC-FLOW RELATIONSHIPS , 1995 .

[17]  Gordon F. Newell.  The Morning Commute for Nonidentical Travelers , 1987, Transp. Sci..

[18]  Benjamin Heydecker,et al.  Traffic models for dynamic assignment , 1993 .

[19]  Harold J Payne,et al.  MODELS OF FREEWAY TRAFFIC AND CONTROL. , 1971 .

[20]  G. F. Newell.  A simplified theory of kinematic waves in highway traffic, part I: General theory , 1993 .

[21]  Carlos F. Daganzo,et al.  Properties of link travel time functions under dynamic loads , 1995 .

[22]  Petros C. Vythoulkas,et al.  A DYNAMIC STOCHASTIC ASSIGNMENT MODEL FOR THE ANALYSIS OF GENERAL NETWORKS , 1990 .

[23]  Vittorio Astarita,et al.  A CONTINUOUS TIME LINK MODEL FOR DYNAMIC NETWORK LOADING BASED ON TRAVEL TIME FUNCTION , 1996 .

[24]  Vittorio Astarita.  THE CONTINUOUS TIME LINK BASED DYNAMIC NETWORK LOADING PROBLEM: SOME THEORETICAL CONSIDERATIONS ON THE RESPECT OF FIFO RULE , 1996 .

[25]  Terry L. Friesz,et al.  A Discrete Time, Nested Cost Operator Approach to the Dynamic Network User Equilibrium Problem , 1995, Transp. Sci..

[26]  B. Ran,et al.  A LINK-BASED VARIATIONAL INEQUALITY FORMULATION OF IDEAL DYNAMIC USER-OPTIMAL ROUTE CHOICE PROBLEM , 1996 .

[27]  Terry L. Friesz,et al.  A variational control formulation of the simultaneous route and departure-time choice equilibrium problem , 1993 .

[28]  R M Kimber,et al.  TRAFFIC QUEUES AND DELAYS AT ROAD JUNCTIONS , 1979 .