期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 474, 期 -, 页码 8-18出版社
ELSEVIER
DOI: 10.1016/j.physa.2017.01.062
关键词
Staggered shifts; Corridor; Morning commute; User equilibrium; No late arrivals
资金
- National Basic Research Program of China [2012CB725401]
- National Natural Science Foundation of China [71271016, 71422001]
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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