Morning Commute with Competing Modes and Distributed Demand: User Equilibrium, System Optimum, and Pricing

The morning commute problem for a single bottleneck is extended to model mode choice in an urban area with time-dependent demand. This extension recognizes that street space is shared by cars and public transit. It is assumed that transit is operated independently of traffic conditions, and that when it is operated it consumes a fixed amount of space. As a first step, a single fixed-capacity bottleneck that can serve both cars and transit is studied. Commuters choose which mode to use and when to travel in order to minimize the generalized cost of their own trip. The transit agency chooses the headway and when to operate. Transit operations reduce the bottleneck’s capacity for cars by a fixed amount. The following results are shown for this type of bottleneck: 1. If the transit agency charges a fixed fare and operates at a given headway, and only when there is demand, then there is a unique user equilibrium. 2. If the transit agency chooses its headway and time of operation for the common good, then there is a unique system optimum. 3. Time-dependent prices exist to achieve system optimum. Finally, it is also shown that results 2 and 3 apply to urban networks.

[1]  Hai-Jun Huang,et al.  Fares and tolls in a competitive system with transit and highway: the case with two groups of commuters , 2000 .

[2]  E M Holroyd,et al.  THE OPTIMUM BUS SERVICE: A THEORETICAL MODEL FOR A LARGE UNIFORM URBAN AREA , 1967 .

[3]  Chris Hendrickson,et al.  Schedule Delay and Departure Time Decisions in a Deterministic Model , 1981 .

[4]  Takatoshi Tabuchi,et al.  Bottleneck Congestion and Modal Split , 1993 .

[5]  Ralph M. Braid,et al.  Peak-Load Pricing of a Transportation Route with an Unpriced Substitute , 1996 .

[6]  Carlos F. Daganzo,et al.  Urban Gridlock: Macroscopic Modeling and Mitigation Approaches , 2007 .

[7]  N. Geroliminis,et al.  Existence of urban-scale macroscopic fundamental diagrams: Some experimental findings - eScholarship , 2007 .

[8]  Michael J. Smith,et al.  The Existence of a Time-Dependent Equilibrium Distribution of Arrivals at a Single Bottleneck , 1984, Transp. Sci..

[9]  W. Vickrey.  Congestion Theory and Transport Investment , 1969 .

[10]  Carlos F. Daganzo,et al.  Structure of Competitive Transit Networks , 2009 .

[11]  Marvin Kraus,et al.  A new look at the two-mode problem , 2003 .

[12]  Xiaoning Zhang,et al.  Analysis of User Equilibrium Traffic Patterns on Bottlenecks with Time-Varying Capacities and their Applications , 2010 .

[13]  Michael Eichler,et al.  Bus lanes with intermittent priority: Strategy formulae and an evaluation , 2006 .

[14]  Carlos F. Daganzo,et al.  The Uniqueness of a Time-dependent Equilibrium Distribution of Arrivals at a Single Bottleneck , 1985, Transp. Sci..

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

[16]  Eric J. Gonzales,et al.  Allocation of Space and the Costs of Multimodal Transport in Cities , 2011 .

[17]  E Lerner-Lam,et al.  Neo-traditional neighborhood design and its implications for traffic engineering , 1991 .

[18]  A. Palma,et al.  Economics of a bottleneck , 1986 .

[19]  N. Geroliminis,et al.  Cordon Pricing Consistent with the Physics of Overcrowding , 2009 .

[20]  M Koshi,et al.  CAPACITY OF SAGS AND TUNNELS ON JAPANESE MOTORWAYS , 1992 .

[21]  Romeo Danielis,et al.  Bottleneck road congestion pricing with a competing railroad service , 2002 .

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

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

[24]  Carlos F. Daganzo,et al.  TRANSPORTATION AND TRAFFIC THEORY , 1993 .