Engelson, Leonid and Fosgerau, Mogens (2011): Additive measures of travel time variability. Published in: Transportation Research Part B , Vol. 45, (2011): pp. 1560-1571.
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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.
|Item Type:||MPRA Paper|
|Original Title:||Additive measures of travel time variability|
|Keywords:||Travel time variability; Scheduling preferences; Reliability; Additivity|
|Subjects:||D - Microeconomics > D1 - Household Behavior and Family Economics > D11 - Consumer Economics: Theory
R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R4 - Transportation Economics > R41 - Transportation: Demand, Supply, and Congestion ; Travel Time ; Safety and Accidents ; Transportation Noise
|Depositing User:||Mogens Fosgerau|
|Date Deposited:||30. Oct 2012 00:27|
|Last Modified:||20. Feb 2013 14:54|
Aczel, J., 2006. Lectures on Functional Equations and Their Applications. Dover Publications, Mineola, NY.
Arnott, R.A., de Palma, A., Lindsey, R., 1993. A structural model of peak-period congestion: a traffic bottleneck with elastic demand. American Economic Review 83 (1), 161–179.
Bates, J., 2008. Time period choice modeling. In: Hensher, D.A., Button, K.J. (Eds.), Handbook of Transport Modelling. Elsevier Science, Oxford, pp. 345–362.
Bates, J., Polak, J., Jones, P., Cook, A., 2001. The valuation of reliability for personal travel. Transportation Research Part E 37 (2-3), 191–229.
Batley, R., Grant-Muller, S., Nellthorp, J., de Jong, G., Watling, D., Bates, J., Hess, S., Polak, J., 2008. Multimodal Travel Time Variability. Final Report. Institute for Transport Studies, University of Leeds.
Cheu, R.L., Kreinovich, V., Manduva, S.R., 2008. Traffic assignment for risk averse drivers in a stochastic network. In: Transportation Research Board of the National Academies, 87th Annual Meeting of the Transportation Research Board, Washington, DC, 13–17 January, 2008.
de Palma, A., Picard, N., 2005. Route choice decision under travel time uncertainty. Transportation Research Part A 39 (4), 295–324.
Eliasson, J., 2007. The relationship between travel time variability and road congestion. In: 11th World Conference on Transport Research, Berkeley, California, 24–28 June, 2007.
Engelson, L., 2011. Properties of expected travel cost function with uncertain travel time. In: Transportation Research Board of the National Academies, 90th Annual Meeting of the Transportation Research Board, Washington, DC, 23–27 January, 2011.
Fosgerau, M., Engelson, L., 2011. The value of travel time variance. Transportation Research Part B 45 (1), 1–8.
Fosgerau, M., Fukuda, D., 2008. Valuing reliability: characteristics of travel time distribution on an urban road. In: Proceedings of the European Transport Conference, Leiden, the Netherlands, 6–8 October, 2008.
Fosgerau, M., Karlström, A., 2010. The value of reliability. Transportation Research Part B 44 (1), 38–49.
Hutson, K.R., Shier, D.R., 2007. Extended dominance and a stochastic shortest path problem. Computers & Operations Research 36 (2), 584–596.
Lehmann, E.L., Casella, G., 1998. Theory of Point Estimation. second ed. Springer, New York.
Lomax, T., Schrank, D., Turner, S., Margiotta, R., 2003. Selecting Travel Time Reliability Measures. s.l.: Texas Transportation Institute. <http://tti.tamu.edu/ documents/474360-271.pdf> (accessed 29.12.10).
Lukacs, E., 1970. Characteristic Functions. second ed. Griffin, London.
Noland, R.B., Small, K.A., 1995. Travel time uncertainty, departure time choice, and the cost of morning commutes. Transportation Research Record: Journal of the Transportation Research Board 1493, 150–158.
Small, K.A., 1982. The scheduling of consumer activities: work trips. American Economic Review 72 (3), 467–479.
Tseng, Y.-Y., Verhoef, E.T., 2008. Value of time by time of day: a stated-preference study. Transportation Research Part B 42 (7-8), 607–618.
van Lint, J.W.C., van Zuylen, H.T., Tu, H., 2008. Travel time unreliability on freeways: why measures based on variance tell only half the story. Transportation research Part A 42 (1), 258–277.
Vickrey, W.S., 1969. Congestion theory and transport investment. American Economic Review 59 (2), 251–261.
Vickrey, W.S., 1973. Pricing, metering, and efficiently using urban transportation facilities. Highway Research Record 476, 36–48.
Von Neumann, J., Morgenstern, O., 1944. Theory of Games and Economic Behaviour. Princeton University Press, Princeton.