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 tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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