Multi-server queueing system with competition between servers

Queueing systems with competition between servers or customers are widely used in modern data transmission and mobile telephone networks. But there is no analytical investigation of the influence of competition on the queueing systems characteristics. In this article a mathematical model of a multiserver queueing system with competition between servers is constructed. This system is compared with the classical multiserver queueing system, in terms of their abilities to handle customers, and the distribution tails of their stationary waiting times.