Analysis of user equilibrium for staggered shifts in a single-entry traffic corridor with no late arrivals
作者:Li, CY(Li, Chuan-Yao);Huang, HJ(Huang, Hai-Jun);Tang, TQ(Tang, Tie-Qiao)
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
DOI: 10.1016/j.physa.2017.01.062
出版年: MAY 15 2017
摘要
In this paper, we investigate the effects of staggered shifts on the user equilibrium (UE) state in a single-entry traffic corridor with no late arrivals from the analytical and numerical perspective. The LWR (Lighthill-Whitham-Richards) model and the Greenshields' velocity-density function are used to describe the dynamic properties of traffic flow. Propositions for the properties of flow patterns in UE, and the quasi-analytic solutions for three possible situations in UE are deduced. Numerical tests are carried out to testify the analytical results, where the three-dimensional evolution diagram of traffic flow illustrates that shock and rarefaction wave exist in UE and the space-time diagram indicates that UE solutions satisfy the propagation properties of traffic flow. In addition, the cost curves show that the UE solutions satisfy the UE trip-timing condition. (C) 2017 Elsevier B.V. All rights reserved.
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研究方向:Physics
Web of Science 类别:Physics, Multidisciplinary