Multiple equilibria in a dynamic traffic network
Multiple equilibria in a dynamic traffic network
复制标题
DOI：
10.1016/j.trb.2011.02.010
复制
发表时间：
2011-07
影响因子：
6.8
通讯作者：
T. Iryo
中科院分区：
文献类型：
--
作者：
T. Iryo
本研究提供了一个例子，其中动态用户平衡（DUE）分配的拥挤的道路网络的瓶颈是不唯一的。在以往的研究中，瓶颈模型的DUE分配的唯一性已经在有限的情况下，如单源和单目的地网络。因此，唯一性是否是DUE分配的一般性质仍然是一个重要的问题。本研究描述了一个网络中，发现多种模式的链接旅行时间，从而提供了一个否定的答案。该网络具有多个瓶颈和多个起点-目的地（OD）对的环状结构。给定一定的需求模式的车辆离开他们的起源，一个非凸的平衡与非唯一模式的链接旅行时间的存在。
This study provides an example in which the dynamic user equilibrium (DUE) assignment of a congested road network with bottlenecks is non-unique. In previous studies, the uniqueness of DUE assignments with the bottleneck model has been shown in limited cases such as single-origin and single-destination networks. Consequently, it is still an important issue whether or not uniqueness is a general property of DUE assignments. The present study describes a network in which multiple patterns of link travel time are found, thus providing a negative answer to this question. The network has a loopy structure with multiple bottlenecks and multiple origin–destination (OD) pairs. Given a certain demand pattern of departure times for vehicles leaving their origins, a non-convex set of equilibria with a non-unique pattern of link travel times is shown to exist.