A diffusion approximation for retrial-queueing systems

The solution of many important problems arising in the design and maintenance of information transmission systems can be reduced to the calculation of the steady-state characteristics of multilinear retrial systems. Most attention is paid to the so-called basic model-a kind of probing tool for testing methods. This paper adds a theorem on the convergence of the centred and normalized queue length to the Ornstein-Uhlenbeck process. The main problem is connected with the fact that only the second component of the process converges to a diffusion process as μ⇒0.