 In a simplified model of the merging process, the available capacity exiting the system is defined to be μ, and the capacities of the input branches are μ1 and μ2.The demands entering the system are q1D and q2D, which is defined as the demand for the merge passing through μ1 and μ2, and thus the maximum demand is the capacity of the inlet branches.The output of the model is the resulting flows that pass through the merge, q1 and q2.