A Generalized Quasi-Stationary Approximation for Analysis of an Integrated Service System

The Quasi-Stationary Approximation (QSA) is often applied to systems and networks where traffic can be classified as short-lived and long-lived. In this paper, we consider an integrated service system that serve short-lived non-real-time and long-lived real-time traffic. For such a system, we introduce a new method, called Generalized Quasi-Stationary Approximation (GQSA), that provides a way to trade off computational complexity and accuracy. Numerical results are provided to demonstrate the benefit achieved by GQSA.