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 Economics - - - Transportation: Demand, Supply, and Congestion
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- 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.
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