Assigning on-ramp flows to maximize capacity of highway with two on-ramps and one off-ramp in between. (English) Zbl 1400.90090
Summary: 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 \(p_{\mathrm{off}}\) have been observed. When \(p_{\mathrm{off}} < p_{\mathrm{off}, c 1}\) (\(p_{\mathrm{off}, c 1} < p_{\mathrm{off}} < p_{\mathrm{off}, c 2}\)), a higher (smaller) proportion of the demand should be assigned to the upstream on-ramp. When \(p_{\mathrm{off}} > p_{\mathrm{off}, c 2}\), 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.
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