Dynamic model of multipath routing supporting traffic engineering queues with packets priorities

In this paper was developed a dynamic model of multipath routing based on balancing lengths of queues at the routers of telecommunication network represented by a system of linear differential equations of queue buffer utilization. The novelty of represented model is a modification of the conditions of balancing lengths of queues to take into account the priorities and lengths of packets in queues. Proposed model allowed to convert the solution of multipath routing based on balancing lengths of queues to solution of problem of optimal control. Using the solution proposed allows to organize a more effective control of buffer and link network resources due to the consistent solving of multipath routing and balancing lengths of queues problems in accordance with the concept Traffic Engineering Queues.