A Queueing Model for Radio Nets--Part I: Methodology

In voice radio communication nets, digital-frequency assignment patterns and multiple-access discrete address transceivers are being studied to improve grade of service, mean access delay, and other aspects of system performance. An analytical methodology based on a calling system-outer system queueing model is presented. This model permits study of these radio communication problems and system design tradeoffs without computer simulation. In addition, the model utilizes several types of statistics (e.g., Poisson, Erlangian, or hyperexponential). In this paper, the model and the mathematical methodology are explained in detail. Formulas for equilibrium performance measures are derived from their definitions. The concept of station-busy probabilities is introduced and a matrix technique for obtaining numerical results is illustrated.