Additive measures of travel time variability

This paper derives a measure of travel time variability for travellers equipped with scheduling preferences defined in terms of time-varying utility rates, and who choose departure time optimally. The corresponding value of travel time variability is a constant that depends only on preference parameters. The measure is unique in being additive with respect to independent parts of a trip. It has the variance of travel time as a special case. Extension is provided to the case of travellers who use a scheduled service with fixed headway.

[1]  André de Palma,et al.  Route choice decision under travel time uncertainty , 2005 .

[2]  Jonas Eliasson.  The relationship between travel time variability and road congestion , 2007 .

[3]  J. Neumann,et al.  Theory of Games and Economic Behavior. , 1945 .

[4]  M Fosgerau,et al.  Valuing reliability: Characteristics of travel time distribution on an urban road , 2008 .

[5]  J. Bates,et al.  The valuation of reliability for personal travel , 2001 .

[6]  John W. Polak,et al.  Multimodal travel time variability - final report , 2008 .

[7]  Huizhao Tu,et al.  Travel time unreliability on freeways: Why measures based on variance tell only half the story , 2008 .

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

[9]  Robert B. Noland,et al.  Travel-time uncertainty, departure time choice, and the cost of morning commutes , 1995 .

[10]  E. L. Lehmann,et al.  Theory of point estimation , 1950 .

[11]  Leonid Engelson,et al.  Properties of Expected Travel Cost Function with Uncertain Travel Time , 2011 .

[12]  Douglas R. Shier,et al.  Extended dominance and a stochastic shortest path problem , 2009, Comput. Oper. Res..

[13]  Erik T. Verhoef,et al.  Value of Time by Time of Day: A Stated-Preference Study , 2007 .

[14]  A. Palma,et al.  A STRUCTURAL MODEL OF PEAK-PERIOD CONGESTION: A TRAFFIC BOTTLENECK WITH ELASTIC DEMAND. IN: RECENT DEVELOPMENTS IN TRANSPORT ECONOMICS , 1993 .

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

[16]  J. Neumann,et al.  Theory of games and economic behavior , 1945, 100 Years of Math Milestones.

[17]  W. Vickrey.  PRICING, METERING, AND EFFICIENTLY USING URBAN TRANSPORTATION FACILITIES , 1973 .

[18]  Mogens Fosgerau,et al.  The value of travel time variance , 2010 .

[19]  M. Fosgerau,et al.  Valuing travel time variability: Characteristics of the travel time distribution on an urban road , 2012 .

[20]  David A. Hensher,et al.  Handbook of Transport Modelling , 2000 .

[21]  Anders Karlström,et al.  The value of reliability , 2007 .

[22]  Vladik Kreinovich,et al.  Traffic Assignment for Risk Averse Drivers in a Stochastic Network , 2007 .

[23]  J. Aczél,et al.  Lectures on Functional Equations and Their Applications , 1968 .