On the relation between the mean and variance of delay in dynamic queues with random capacity and demand
AbstractThis paper investigates the distribution of delays during a repeatedly occurring demand peak in a congested facility with random capacity and demand, such as an airport or an urban road. Congestion is described in the form of a dynamic queue using the Vickrey bottleneck model and assuming Nash equilibrium in arrival times. The paper shows that the expected delay and the variance of delay vary differently over time during the peak and must hence be considered separately. The paper gives some characterization of how the expected delay and the variance of delay are related, which explain the looping phenomenon that has now been observed a number of times. Empirical illustration is provided.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Dynamics and Control.
Volume (Year): 34 (2010)
Issue (Month): 4 (April)
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Web page: http://www.elsevier.com/locate/jedc
Bottleneck model Random capacity Congestion Nash equilibrium Loop;
Other versions of this item:
- Fosgerau, Mogens, 2008. "On the relation between the mean and variance of delay in dynamic queues with random capacity and demand," MPRA Paper 11994, University Library of Munich, Germany.
- D8 - Microeconomics - - Information, Knowledge, and Uncertainty
- R41 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Systems - - - Transportation: Demand, Supply, and Congestion
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Fosgerau, Mogens & Engelson, Leonid, 2010.
"The value of travel time variance,"
42272, University Library of Munich, Germany.
- Fosgerau, Mogens & Karlström, Anders, 2007.
"The value of reliability,"
5733, University Library of Munich, Germany.
- Richard Arnott & Andre de Palma & Robin Lindsey, 1996.
"Information and Time-of-Usage Decisions in the Bottleneck Model with Stochastic Capacity and Demand,"
Boston College Working Papers in Economics
355., Boston College Department of Economics.
- 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.
- R. Arnott & A. de Palma & R. Lindsey, 1997. "Information and time-of-usage decisions in the bottleneck model with stochastic capacity and demand," THEMA Working Papers 97-13, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-60, May.
- Fosgerau, Mogens, 2008. "Congestion costs in bottleneck equilibrium with stochastic capacity and demand," MPRA Paper 10040, University Library of Munich, Germany.
- 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 161-79, March.
- Fosgerau, Mogens & Lindsey, Robin, 2013. "Trip-timing decisions with traffic incidents," MPRA Paper 48708, University Library of Munich, Germany.
- Paul Koster & Eric Kroes & Erik T. Verhoef, 2010.
"Travel Time Variability and Airport Accessibility,"
Tinbergen Institute Discussion Papers
10-061/3, Tinbergen Institute.
- André De Palma & Mogens Fosgerau, 2010. "Dynamic and Static congestion models: A review," Working Papers hal-00539166, HAL.
- Stefanie Peer & Erik Verhoef & Jasper Knockaert & Paul Koster & Yin-Yen Tseng, 2011. "Long-Run vs. Short-Run Perspectives on Consumer Scheduling: Evidence from a Revealed-Preference Experiment among Peak-Hour Road Commuters," Tinbergen Institute Discussion Papers 11-181/3, Tinbergen Institute, revised 16 May 2012.
- Fosgerau, Mogens & Fukuda, Daisuke, 2010. "Valuing travel time variability: Characteristics of the travel time distribution on an urban road," MPRA Paper 24330, University Library of Munich, Germany.
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