A computer-implemented method for establishing communication links in a millimeter wave (mmWave) network by solving a linear integer packing problem is presented. The computer-implemented method includes determining active communication links between a plurality of transmitters and a plurality of receivers, setting each active communication link to have any arbitrary chosen weight or priority, and setting a minimum link quality threshold for each active communication link and subjecting each active communication link to constraints. Detected phantom constraints are mitigated by introducing new constraints with binary coefficients and by modifying one or more existing constraints by setting a number of coefficients within the existing constraints to zero.