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

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

I: Journal of Economic Dynamics and Control, Bind 34, Nr. 4, 04.2010, s. 598-603.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

Harvard

Fosgerau, M 2010, 'On the relation between the mean and variance of delay in dynamic queues with random capacity and demand', Journal of Economic Dynamics and Control, bind 34, nr. 4, s. 598-603. https://doi.org/10.1016/j.jedc.2009.12.002

APA

Fosgerau, M. (2010). On the relation between the mean and variance of delay in dynamic queues with random capacity and demand. Journal of Economic Dynamics and Control, 34(4), 598-603. https://doi.org/10.1016/j.jedc.2009.12.002

Vancouver

Fosgerau M. On the relation between the mean and variance of delay in dynamic queues with random capacity and demand. Journal of Economic Dynamics and Control. 2010 apr.;34(4):598-603. https://doi.org/10.1016/j.jedc.2009.12.002

Author

Fosgerau, Mogens. / On the relation between the mean and variance of delay in dynamic queues with random capacity and demand. I: Journal of Economic Dynamics and Control. 2010 ; Bind 34, Nr. 4. s. 598-603.

Bibtex

@article{61c5e5f307f742a78c506e925b9a23b1,
title = "On the relation between the mean and variance of delay in dynamic queues with random capacity and demand",
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.",
keywords = "Bottleneck model, Congestion, Loop, Nash equilibrium, Random capacity",
author = "Mogens Fosgerau",
year = "2010",
month = apr,
doi = "10.1016/j.jedc.2009.12.002",
language = "English",
volume = "34",
pages = "598--603",
journal = "Journal of Economic Dynamics and Control",
issn = "0165-1889",
publisher = "Elsevier",
number = "4",

}

RIS

TY - JOUR

T1 - On the relation between the mean and variance of delay in dynamic queues with random capacity and demand

AU - Fosgerau, Mogens

PY - 2010/4

Y1 - 2010/4

N2 - 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.

AB - 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.

KW - Bottleneck model

KW - Congestion

KW - Loop

KW - Nash equilibrium

KW - Random capacity

UR - http://www.scopus.com/inward/record.url?scp=77950297414&partnerID=8YFLogxK

U2 - 10.1016/j.jedc.2009.12.002

DO - 10.1016/j.jedc.2009.12.002

M3 - Journal article

AN - SCOPUS:77950297414

VL - 34

SP - 598

EP - 603

JO - Journal of Economic Dynamics and Control

JF - Journal of Economic Dynamics and Control

SN - 0165-1889

IS - 4

ER -

ID: 181872578