Analysis of user equilibrium for staggered shifts in a single-entry traffic corridor with no late arrivals

作者：Li, Chuan-Yao; Huang, Hai-Jun; Tang, Tie-Qiao^*

来源：Physica A: Statistical Mechanics and Its Applications , 2017, 474: 8-18.

DOI：10.1016/j.physa.2017.01.062

• Staggered shifts
• Corridor
• Morning commute
• User equilibrium
• No late arrivals

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.

• 出版日期2017-5-15
• 单位北京航空航天大学