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Assigning on-ramp flows to maximize capacity of highway with two on-ramps and one off-ramp in between

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  • Chen, Jing
  • Lin, Lan
  • Jiang, Rui

Abstract

In this paper, we study the capacity of a highway with two on-ramps and one off-ramp in between by using a cellular automaton traffic flow model. We investigate how to maximize the system capacity by assigning proper traffic flow to the two on-ramps. The system phase diagram is presented and eight different regions are observed under different conditions. It is shown that in region I, in which both on-ramps are in free flow and the main road upstream of the upstream on-ramp is in congestion, assigning proper proportion of the demand to two on-ramps could maximize the system capacity. Two critical values of the off-ramp flow ratio poff have been observed. When poffpoff,c2, no demand should be assigned to the upstream on-ramp. An analytical investigation has been performed to calculate the critical values. The analytical results are in good agreement with the simulation ones.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:465:y:2017:i:c:p:347-357
    DOI: 10.1016/j.physa.2016.08.053
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    References listed on IDEAS

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