1. A system for a global concurrent path computation in a communication network, comprising: a plurality of nodes; a plurality of links disposed between the nodes; a plurality of Traffic Engineering Label Switched Paths (TE-LSPs) extending across at least some of the nodes and at least some of the links; at least one Path Computation Element (PCE) in communication with at least some of the nodes and configured to compute the TE-LSPs; and at least one PCE agent in communication with the PCE using a PCE communication protocol (PCEP) and configured to process a TE-LSP path computation request, wherein the global concurrent path computation concurrently computes the TE-LSPs extending from the plurality of nodes, wherein the global concurrent path computation is performed in the at least one PCE, and wherein the PCEP comprises a global objective function field indicating at least one of minimizing a set of TE-LSP costs and minimizing a set of most utilized TE-LSPs.