Performance and reliability analysis of Small Cell Networks with retrials and different breakdowns disciplines: A computational approach

Abstract

The ever-increasing number of customers and the need for higher data rates and multimedia services require the deployment of Small Cell Networks. In this paper, we propose a new computational approach to study performance and reliability of Small Cell Networks, taking into account the retrial phenomenon, the finite number of customers (mobiles) served in a cell and the random breakdowns of the base station channels, using the Generalized Stochastic Petri Nets (GSPNs) model as a support. However, one of the major drawbacks of this high-level formalism in performance evaluation of large networks is the state space explosion problem which increases when considering repeated calls and multiple unreliable channels. Hence, the novelty of this investigation is the presentation of an approach which allows a direct computing of the infinitesimal generator describing the customers behavior and channels allocation in as small cell, without generating nor storing the reachability set. In addition, we develop the formulas of the main stationary reliability and performance indices as a function of the network parameters, the stationary probabilities and independently of the reachability set markings.