The document proposes a new Internet traffic management protocol called LBMP. It discusses existing protocols like TRUMP, DUMP, and DATE that have limitations like inflexibility, lack of guaranteed convergence, and inability to perform numerical simulations. The LBMP protocol addresses these issues using a novel logarithm-barrier-based approach that jointly optimizes user utility and routing/congestion control by translating the problem into a sequence of unconstrained optimization problems. The performance of LBMP will be evaluated through numerical analysis and packet-level simulations.