Logo
Munich Personal RePEc Archive

On the relation between the mean and variance of delay in dynamic queues with random capacity and demand

Fosgerau, Mogens (2008): On the relation between the mean and variance of delay in dynamic queues with random capacity and demand.

Warning
There is a more recent version of this item available.
[thumbnail of MPRA_paper_11994.pdf]
Preview
PDF
MPRA_paper_11994.pdf

Download (287kB) | Preview

Abstract

This 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.

Available Versions of this Item

Atom RSS 1.0 RSS 2.0

Contact us: mpra@ub.uni-muenchen.de

This repository has been built using EPrints software.

MPRA is a RePEc service hosted by Logo of the University Library LMU Munich.