Fosgerau, Mogens and Karlström, Anders (2010): The value of reliability. Published in: Transportation Research Part B , Vol. 44, (2010): pp. 38-49.
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We derive the value of reliability in the scheduling of an activity of random duration, such as travel under congested conditions. Using a simple formulation of scheduling utility, we show that the maximal expected utility is linear in the mean and standard deviation of trip duration, regardless of the form of the standardised distribution of trip durations. This insight provides a unification of the scheduling model and models that include the standard deviation of trip duration directly as an argument in the cost or utility function. The results generalise approximately to the case where the mean and standard deviation of trip duration depend on the starting time. An empirical illustration is provided.
|Item Type:||MPRA Paper|
|Original Title:||The value of reliability|
|Keywords:||Welfare; Random duration; Time; Scheduling; Reliability; Variability|
|Subjects:||D - Microeconomics > D0 - General
D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D81 - Criteria for Decision-Making under Risk and Uncertainty
D - Microeconomics > D8 - Information, Knowledge, and Uncertainty
|Depositing User:||Mogens Fosgerau|
|Date Deposited:||04. Nov 2012 15:05|
|Last Modified:||12. Feb 2013 09:40|
Anderson, J.E., Kraus, M., 1981. Quality of service and the demand for air travel. The Review of Economics and Statistics 63 (4), 533–540.
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.
Arnott, R.A., de Palma, A., Lindsey, R., 1999. Information and time-of-usage decisions in the bottleneck model with stochastic capacity and demand. European Economic Review 43 (3), 525–548.
Batabyal, A., 2007. A probabilistic analysis of a scheduling problem in the economics of tourism. Economics Bulletin 12 (4), 1–7.
Bates, J., Polak, J., Jones, P., Cook, A., 2001. The valuation of reliability for personal travel. Transportation Research Part E: Logistics and Transportation Review 37 (2–3), 191–229.
Becker, G.S., 1965. A theory of the allocation of time. Economic Journal 75 (299), 493–517.
Beesley, M.E., 1965. The value of time spent in travelling: some new evidence. Economica 32 (126), 174–185.
Brownstone, D., Small, K., 2005. Valuing time and reliability: assessing the evidence from road pricing demonstrations. Transportation Research Part A: Policy and Practice 39 (4), 279–293.
Brueckner, J., 1987. The structure of urban equilibria: a unified treatment of the muth-mills model. In: Mills, E.S. (Ed.), Handbook of Regional and Urban Economics, vol. 2. North Holland, pp. 821–845.
Brueckner, J., 2004. Network structure and airline scheduling. Journal of Industrial Economics 52 (2), 291–312.
Daniel, J.I., 1995. Congestion pricing and capacity of large hub airports: a bottleneck model with stochastic queues. Econometrica 63 (2), 327–370.
DeSerpa, A.C., 1971. A theory of the economics of time. The Economic Journal 81 (324), 828–845.
Dixit, A., Pindyck, R., 1994. Investment Under Uncertainty. Princeton University Press, Princeton, NJ.
Doornik, J.A., 2001. Ox: An Object-Oriented Matrix Language. Timberlake Consultants Press, London.
Douglas, G.W., Miller, J.C., 1974. Quality competition, industry equilibrium, and efficiency in the price-constrained airline market. American Economic Review 64 (4), 657–669.
Eliasson, J., 2004. Car drivers’ valuations of travel time variability, unexpected delays and queue driving. In: European Transport Conference.
Eliasson, J., 2009. A cost–benefit analysis of the stockholm congestion charging system. Transportation Research Part A 43 (4), 468–480.
M. Fosgerau, A. Karlström / Transportation Research Part B 44 (2010) 38–49
Fosgerau, M., 2007. Using nonparametrics to specify a model to measure the value of travel time. Transportation Research Part A: Policy and Practice 41 (9), 842–856.
Hochman, E., Leung, P., Rowland, L.W., Wyban, J.A., 1990. Optimal scheduling in shrimp mariculture: a stochastic growing inventory problem. American Journal of Agricultural Economics 72 (2), 382–393.
Hollander, Y., 2006. Direct versus indirect models for the effects of unreliability. Transportation Research Part A 40 (9), 699–711.
Johnson, M.B., 1966. Travel time and the price of leisure. Western Economic Journal 4 (2), 135–145.
Kahneman, D., Tversky, A., 1979. Prospect theory: an analysis of decision under risk. Econometrica 47 (2), 263–292.
Lam, T.C., Small, K., 2001. The value of time and reliability: measurement from a value pricing experiment. Transportation Research Part E: Logistics and Transportation Review 37 (2–3), 231–251.
Li, Q., Racine, J.S., 2007. Nonparametric Econometrics: Theory and Practice. Princeton University Press, Princeton and Oxford.
Liaoa, H.-C., Tsaib, C.-H., Su, C.-T., 2000. An inventory model with deteriorating items under inflation when a delay in payment is permissible. International Journal of Production Economics 63 (2), 207–214.
Mataria, A., Luchini, S., Daoud, Y., Moatti, J.-P., 2007. Demand assessment and price-elasticity estimation of quality-improved primary health care in palestine. Health Economics 16 (10), 1051–1068.
Noland, R.B., Polak, J.W., 2002. Travel time variability: a review of theoretical and empirical issues. Transport Reviews 22 (1), 39–54.
Noland, R.B., Small, K.A., 1995. Travel-time uncertainty, departure time choice, and the cost of morning commutes. Transportation Research Record 1493, 150–158.
Sandholm, W.H., 2002. Evolutionary implementation and congestion pricing. Review of Economic Studies 69 (3), 667–689.
Sandholm, W.H., 2005. Negative externalities and evolutionary implementation. Review of Economic Studies 72 (3), 885–915.
Small, K., 1982. The scheduling of consumer activities: work trips. American Economic Review 72 (3), 467–479.
Small, K.A., Winston, C., Yan, J., 2005. Uncovering the distribution of motorists’ preferences for travel time and reliability. Econometrica 73 (4), 1367–1382.
Starmer, C., 2000. Developments in non-expected utility theory: the hunt for a descriptive theory of choice under risk. Journal of Economic Literature 38 (2), 332–382.
Vickrey, W.S., 1969. Congestion theory and transport investment. American Economic Review 59 (2), 251–261.
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The value of reliability. (deposited 14. Nov 2007 06:00)
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