Fosgerau, Mogens and Karlström, Anders (2007): The value of reliability.
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Abstract
We derive the value of reliability in the scheduling of an activity of random duration, such as travel under congested conditions. We show that the minimal expected cost is linear in the mean and standard deviation of duration, regardless of the form of the standardized distribution of durations. This insight provides a unification of the scheduling model and models that include the standard deviation of duration directly as an argument in the cost or utility function. The results generalize approximately to the case where the mean and standard deviation of duration depend on the starting time. Empirical illustration is provided.
Item Type: | MPRA Paper |
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Original Title: | The value of reliability |
Language: | English |
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 |
Item ID: | 5733 |
Depositing User: | Prof. Mogens Fosgerau |
Date Deposited: | 14 Nov 2007 06:00 |
Last Modified: | 27 Sep 2019 20:45 |
References: | Anderson, J. E. and 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. and 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. and Lindsey, R. (1999) Information and time-of-usage decisions in the bottleneck model with stochastic capacity and demand. European Economic Review 43, 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. and Cook, A. (2001) The valuation of reliability for personal travel. Transportation Research Part E: Logistics and Transportation Review 37(2-3), 191–229. Becker, S. G. (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. Brueckner, J. (1987) The Structure of Urban Equilibria: A Unified Treatment of the Muth-Mills Model in E. S.Mills (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, 828–845. Dixit, A. and 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. and Miller, J. C. (1974) Quality Competition, Industry Equilibrium, and Efficiency in the Price-Constrained Airline Market. American Economic Review 64(4), 657–669. 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., W.Rowland, L. and A.Wyban, J. (1990) Optimal Scheduling in Shrimp Mariculture: A Stochastic Growing Inventory Problem. American Journal of Agricultural Economics 72(2), 382–393. Johnson, M. B. (1966) Travel Time and the Price of Leisure. Western Economic Journal 4, 135–145. Li, Q. and Racine, J. S. (2007) Nonparametric Econometrics: Theory and Practice. Princeton University Press Princeton and Oxford. Liaoa, H.-C., Tsaib, C.-H. and 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. and 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. and 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. and Yan, J. (2005) Uncovering the Distribution of Motorists’ Preferences for Travel Time and Reliability. Econometrica 73(4), 1367– 1382. Taylor, N. B. (2007) A new approach to modelling variability in traffic queues. Vickrey, W. S. (1969) Congestion theory and transport investment. American Economic Review 59, 251–261. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/5733 |
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