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A New Braess’s Paradox with Queue Spillovers Considering Dynamic User Equilibrium
Zhang Xiaoning *,Zhang Hongjun
Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University
*Correspondence author
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Funding: 高等学校博士学科点专项科研基金(No.20040247021)
Opened online:19 December 2007
Accepted by: none
Citation: Zhang Xiaoning ,Zhang Hongjun.A New Braess’s Paradox with Queue Spillovers Considering Dynamic User Equilibrium[OL]. [19 December 2007] http://en.paper.edu.cn/en_releasepaper/content/17141
 
 
This paper explores the network properties when queues spill over network links, by examining a paradox of network expansion. In networks, each commuter simultaneously chooses departure time and travel route to minimize the travel cost including journey time and unpunctuality penalty. Using some necessary conditions of dynamic user equilibrium, the dynamic network flows are exactly obtained on some small networks. Then we use a network with two origins and two destinations to illustrate an interesting paradox that is caused by the FIFO behavior among commuters traveling on a common upstream link of which the exit is blocked by one branch of downstream traffic. The comparison analysis in this example shows that point-queue models often overestimate the network performance and consideration of queuing spatial dimension in dynamic traffic assignment is necessary
Keywords:Braess’s paradox, simultaneous departure time and route (SDR) choices, dynamic traffic assignment (DTA), bottleneck, queue spillover
 
 
 

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