The invention relates to a crossbar switch controller including an input terminal configured to receive a set of service request signals from a set of virtual output queues each comprising a set of packets. The invention also includes a matrix circuit coupled to the input terminal and configured to represent the set of service request signals in the form of a matrix, wherein each service request signal is described by a row position M and a column position N. The invention further includes an output terminal configured to receive a portion of the set of packets during an epoch, an arbiter circuit configured to iteratively scan the matrix during the epoch and issue the set of grant signals to the virtual output queues to determine which service requests are granted, and an arbiter controller configured to initiate the arbiter circuit with an array of non-conflicting matrix elements.