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The value of reliability

Author

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  • Fosgerau, Mogens
  • Karlström, Anders

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.

Suggested Citation

  • Fosgerau, Mogens & Karlström, Anders, 2007. "The value of reliability," MPRA Paper 5733, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:5733
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    References listed on IDEAS

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    1. Anderson, James E & Kraus, Marvin, 1981. "Quality of Service and the Demand for Air Travel," The Review of Economics and Statistics, MIT Press, vol. 63(4), pages 533-540, November.
    2. Eliasson, Jonas, 2009. "A cost-benefit analysis of the Stockholm congestion charging system," Transportation Research Part A: Policy and Practice, Elsevier, vol. 43(4), pages 468-480, May.
    3. Lam, Terence C. & Small, Kenneth A., 0. "The value of time and reliability: measurement from a value pricing experiment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 37(2-3), pages 231-251, April.
    4. William H. Sandholm, 2002. "Evolutionary Implementation and Congestion Pricing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(3), pages 667-689.
    5. repec:ebl:ecbull:v:12:y:2007:i:4:p:1-7 is not listed on IDEAS
    6. Fosgerau, Mogens, 2007. "Using nonparametrics to specify a model to measure the value of travel time," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(9), pages 842-856, November.
    7. Jan K. Brueckner, 2004. "Network Structure and Airline Scheduling," Journal of Industrial Economics, Wiley Blackwell, vol. 52(2), pages 291-312, June.
    8. Brownstone, David & Small, Kenneth A., 2005. "Valuing time and reliability: assessing the evidence from road pricing demonstrations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 39(4), pages 279-293, May.
    9. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1993. "A Structural Model of Peak-Period Congestion: A Traffic Bottleneck with Elastic Demand," American Economic Review, American Economic Association, vol. 83(1), pages 161-179, March.
    10. Small, Kenneth A., 2001. "The Value of Pricing," University of California Transportation Center, Working Papers qt0rm449sx, University of California Transportation Center.
    11. Hollander, Yaron, 2006. "Direct versus indirect models for the effects of unreliability," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(9), pages 699-711, November.
    12. Douglas, George W & Miller, James C, III, 1974. "Quality Competition, Industry Equilibrium, and Efficiency in the Price-Constrained Airline Market," American Economic Review, American Economic Association, vol. 64(4), pages 657-669, September.
    13. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    14. William H. Sandholm, 2005. "Negative Externalities and Evolutionary Implementation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 885-915.
    15. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    16. Kenneth A. Small & Clifford Winston & Jia Yan, 2005. "Uncovering the Distribution of Motorists' Preferences for Travel Time and Reliability," Econometrica, Econometric Society, vol. 73(4), pages 1367-1382, July.
    17. Amitrajeet Batabyal, 2007. "A probabilistic analysis of a scheduling problem in the economics of tourism," Economics Bulletin, AccessEcon, vol. 12(4), pages 1-7.
    18. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    19. Office of Health Economics, 2007. "The Economics of Health Care," For School 001490, Office of Health Economics.
    20. DeSerpa, A C, 1971. "A Theory of the Economics of Time," Economic Journal, Royal Economic Society, vol. 81(324), pages 828-846, December.
    21. Brueckner, Jan K., 1987. "The structure of urban equilibria: A unified treatment of the muth-mills model," Handbook of Regional and Urban Economics, in: E. S. Mills (ed.), Handbook of Regional and Urban Economics, edition 1, volume 2, chapter 20, pages 821-845, Elsevier.
    22. Bates, John & Polak, John & Jones, Peter & Cook, Andrew, 0. "The valuation of reliability for personal travel," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 37(2-3), pages 191-229, April.
    23. Eithan Hochman & PingSun Leung & Lawrence W. Rowland & James A. Wyban, 1990. "Optimal Scheduling in Shrimp Mariculture: A Stochastic Growing Inventory Problem," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(2), pages 382-393.
    24. Daniel, Joseph I, 1995. "Congestion Pricing and Capacity of Large Hub Airports: A Bottleneck Model with Stochastic Queues," Econometrica, Econometric Society, vol. 63(2), pages 327-370, March.
    25. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1999. "Information and time-of-usage decisions in the bottleneck model with stochastic capacity and demand," European Economic Review, Elsevier, vol. 43(3), pages 525-548, March.
    26. Awad Mataria & Stéphane Luchini & Yousef Daoud & Jean‐Paul Moatti, 2007. "Demand assessment and price‐elasticity estimation of quality‐improved primary health care in palestine: a contribution from the contingent valuation method," Health Economics, John Wiley & Sons, Ltd., vol. 16(10), pages 1051-1068, October.
    27. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    28. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-479, June.
    29. Qi Li & Jeffrey Scott Racine, 2006. "Nonparametric Econometrics: Theory and Practice," Economics Books, Princeton University Press, edition 1, volume 1, number 8355.
    30. Robert B. Noland & John W. Polak, 2002. "Travel time variability: A review of theoretical and empirical issues," Transport Reviews, Taylor & Francis Journals, vol. 22(1), pages 39-54, January.
    31. Liao, Hung-Chang & Tsai, Chih-Hung & Su, Chao-Ton, 2000. "An inventory model with deteriorating items under inflation when a delay in payment is permissible," International Journal of Production Economics, Elsevier, vol. 63(2), pages 207-214, January.
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    More about this item

    Keywords

    Welfare; Random duration; Time; Scheduling; Reliability; Variability;
    All these keywords.

    JEL classification:

    • D0 - Microeconomics - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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