In this paper, an approach to the mathematical modeling of multipath QoS-based routing in multiservice networks is considered. The Gallager's model was assumed as a basis of offered model with introduction of additional restrictions on quality of service. Tensor interpretation of model has allowed to receive in an analytical kind of a condition of maintenance of quality of service simultaneously on high-speed and time parameters QoS.
Lemeshko О., Drobot O. A Mathematical Model of Multipath QoS-based Routing in Multiservice Networks // Modern Problems of Radio Engineering, Telecommunications and Computer Science / Proceedings of conference International TCSET’2006 / Lviv-Slavsko. 2006. PP. 72-74.

The suggested model is oriented to use of the means of packet switching based on pre-computation of routes within the present-day, primarily, multiservice networks. Due to the properties forming up the grounds for the model, it is completely meeting the demands set by the Load-Balance Routing, QoS-Based Routing and Constraint-Based Routing concepts.
Lemeshko A. V. Probabilistic-Temporal Model of QOS-Routing with Precomputation of Routes under the Terms of Non-Ideal Reliability of Telecommunication Network // Telecommunications and Radio Engineering, Vol. 66, Issue 13 '2007. 1151-1166 p.