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Driver choice compared to controlled diversion for a freeway double on-ramp in the framework of three-phase traffic theory

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  • Davis, L.C.

Abstract

Two diversion schemes that apportion demand between two on-ramps to reduce congestion and improve throughput on a freeway are analyzed. In the first scheme, drivers choose to merge or to divert to a downstream on-ramp based on information about average travel times for the two routes: (1) merge and travel on the freeway or (2) divert and travel on a surface street with merging downstream. The flow, rate of merging at the ramps, and the travel times oscillate strongly, but irregularly, due to delayed feedback. In the second scheme, diversion is controlled by the average mainline velocities just upstream of the on-ramps. Driver choice is not involved. If the average upstream velocity on the mainline drops below a predetermined value (20 m/s) vehicles are diverted to the downstream ramp. When the average mainline velocity downstream becomes too low, diversion is no longer permitted. The resultant oscillations in this scheme are nearly periodic. The period is dominated by the response time of the mainline to interruption of merging rather than delayed feedback, which contributes only a minor component linear in the distance separating the on-ramps. In general the second scheme produces more effective congestion reduction and greater throughput. Also the travel times for on-ramp drivers are less than that obtained by drivers who attempt to minimize their own travel times (first scheme). The simulations are done using the Kerner–Klenov stochastic three-phase theory of traffic [B.S. Kerner, S.L. Klenov, Phys. Rev. E 68 (2003) 036130].

Suggested Citation

  • Davis, L.C., 2008. "Driver choice compared to controlled diversion for a freeway double on-ramp in the framework of three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6395-6410.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:25:p:6395-6410
    DOI: 10.1016/j.physa.2008.07.029
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    Citations

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    Cited by:

    1. Davis, L.C., 2012. "Mitigation of congestion at a traffic bottleneck with diversion and lane restrictions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1679-1691.
    2. Hu, Xiaojian & Wang, Wei & Yang, Haifei, 2012. "Mixed traffic flow model considering illegal lane-changing behavior: Simulations in the framework of Kerner’s three-phase theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5102-5111.
    3. Chen, Jing & Lin, Lan & Jiang, Rui, 2017. "Assigning on-ramp flows to maximize capacity of highway with two on-ramps and one off-ramp in between," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 347-357.
    4. Rehborn, Hubert & Klenov, Sergey L. & Palmer, Jochen, 2011. "An empirical study of common traffic congestion features based on traffic data measured in the USA, the UK, and Germany," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4466-4485.
    5. Yang, Haifei & Lu, Jian & Hu, Xiaojian & Jiang, Jun, 2013. "A cellular automaton model based on empirical observations of a driver’s oscillation behavior reproducing the findings from Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4009-4018.

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