Newell–Daganzo merge model

The model is simple in that it does not consider the actual merging process between vehicles as the two branch roadways come together.

The only information required to calculate the flows leaving the two branch roadways are the capacities of the two branch roadways and the exiting capacity, the demands into the system, and a value describing how the two input flows interact.

There are four possible states for the system to have based on the level of flow occurring in each inlet.

The flow conditions of the inlets are the determining factors in the solution of the model.

The split priority, or merge ratio, is calculated when both inlets are in congestion.

A second boundary is the feasible region for demands, the maximum possible values for q1D and q2D, defined to be μ1 and μ2, and is bounded by black in the figure.

Variables included in Newell–Daganzo merge model represented on diagram of merging traffic branches.
Graphical solution to determining the flows q 1 and q 2 in the Newell–Daganzo merge model.