Morning commute problem considering route choice, user heterogeneity and alternative system optima

This paper extends the bottleneck model to study congestion behavior of morning commute and its implications to transportation economics. The proposed model considers simultaneous route and departure time choices of heterogenous users who are distinguished by their valuation of travel time and punctual arrival. Moreover, two dynamic system optima are considered: one minimizes system cost in the unit of monetary value (i.e., the conventional system optimum, or SO) and the other minimizes system cost in the unit of travel time (i.e., the time-based SO, or TSO). Analytical solutions of no-toll equilibrium, SO and TSO are provided and the welfare effects of the corresponding dynamic congestion pricing options are examined, with and without route choice. The analyses suggest that TSO provides a Pareto-improving solution to the social inequity issue associated with SO. Although a TSO toll is generally discriminatory, anonymous TSO tolls do exist under certain circumstances. Unlike in the case with homogenous users, an SO toll generally alters users’ route choices by tolling the poorer users off the more desirable road, which worsens social inequity. Numerical examples are presented to verify analytical results.

[1]  A. Evans.  Road congestion pricing: when is it a good policy? , 1992 .

[2]  K. Kockelman,et al.  Credit-based congestion pricing: a policy proposal and the public’s response ☆ , 2005 .

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

[4]  A. C. Pigou.  Economics of welfare , 1920 .

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

[6]  Kenneth Button,et al.  Road Pricing, Traffic Congestion and the Environment , 1998 .

[7]  A. Palma,et al.  SCHEDULE DELAY AND DEPARTURE TIME DECISIONS WITH HETEROGENEOUS COMMUTERS , 1988 .

[8]  Kenneth A. Small,et al.  The incidence of congestion tolls on urban highways , 1983 .

[9]  K. Small,et al.  Product Differentiation on Roads: Constrained Congestion Pricing with Heterogeneous Users , 2003 .

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

[11]  Td Hau,et al.  CONGESTION PRICING AND ROAD INVESTMENT. , 1998 .

[12]  Per Olov Lindberg,et al.  Congestion Pricing of Road Networks with Users Having Different Time Values , 2006 .

[13]  Kenneth A. Small,et al.  THE SCHEDULING OF CONSUMER ACTIVITIES: WORK TRIPS , 1982 .

[14]  Hai Yang,et al.  Analysis of the time-varying pricing of a bottleneck with elastic demand using optimal control theory , 1997 .

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

[16]  Simon Shepherd,et al.  On the existence and uniqueness of first best tolls in networks with multiple user classes and elastic demand , 2009 .

[17]  Jonas Eliasson,et al.  Road pricing with limited information and heterogeneous users: A successful case , 2001 .

[18]  Y. Cohen,et al.  COMMUTER WELFARE UNDER PEAK-PERIOD CONGESTION TOLLS : WHO GAINS AND WHO LOSES? , 1987 .

[19]  Jeffrey L. Adler,et al.  A direct redistribution model of congestion pricing , 2001 .

[20]  André de Palma,et al.  The Welfare Effects Of Congestion Tolls With Heterogeneous Commuters , 1993 .

[21]  K. Small.  Using the revenues from congestion pricing , 1992 .

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

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

[24]  Hai Yang,et al.  The multi-class, multi-criteria traffic network equilibrium and systems optimum problem , 2004 .

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

[26]  Haijun Huang,et al.  Mathematical and Economic Theory of Road Pricing , 2005 .

[27]  André de Palma,et al.  Route choice with heterogeneous drivers and group-specific congestion costs , 1992 .

[28]  P. Nijkamp,et al.  SECOND BEST CONGESTION PRICING: THE CASE OF AN UNTOLLED ALTERNATIVE. IN: URBAN TRANSPORT , 1996 .

[29]  Xiaoning Zhang,et al.  Multiclass Network Toll Design Problem with Social and Spatial Equity Constraints , 2002 .

[30]  Athanasios K. Ziliaskopoulos,et al.  Foundations of Dynamic Traffic Assignment: The Past, the Present and the Future , 2001 .

[31]  D. Hearn,et al.  Mathematical and Computational Models for Congestion Charging , 2006 .

[32]  Y. Nie,et al.  Existence of Self-Financing and Pareto-Improving Congestion Pricing: Impact of Value of Time Distribution , 2009 .