Some queueing characterization techniques

Queueing theory is concerned with mathematical modeling and analysis of system that provide service to random demands. A queueing model is an abstract description of such a system. A queueing model represents the system's physical configuration and arrangement of the servers, which provide service to the customers and stochastic (i.e. probabilistic or statistical) nature of the demand, by specifying the variability in the arrival process and in the service process. The art of applied queueing theory is to construct a model that is simple enough so that it yields to mathematical analysis, yet contains sufficient detail so that its performance measures reflect the behavior of the real system. The analytical queueing models can be solved by using several classical techniques. Here we'll provide a brief outline of some techniques used for analyzing the queueing characterization for real time systems.