“…Utility maximizing is more general because rate allocation with the fairness property is utility maximizing when the utility has a special form [23,86,119,122]. Although utility maximization has been extensively studied within the context of unicast rate allocation to achieve congestion control [11,58,62,64,67,68,75,129,132], relatively fewer studies approached the multirate multicast allocation problem via a general utility maximization formulation, with the notable exceptions being [23,57,59]. Problem Max 1 together with Assumptions 13.3.2-13.3.2 and constraints Max 1.a, Max 1.b, P.f-P.h is similar in spirit to those formulated and analyzed in [23,57,59].…”