Jesus R. Artalejo. Retrial queues operating in random environment: Application to cellular networks

Abstract. Many of the currently used cellular networks have been constructed on the premise that the retrial phenomenon is negligible and the operating environment is static. However, a proper modelling of the mobile cellular network cannot ignore the existence of repeated calls. Moreover, real systems often operate in varying environment conditions.

In this talk, we show how the matrix-analytic formalism gives one the ability to construct and study versatile cellular mobile networks with user retrial operating in random environment. More concretely, we investigate two three-dimensional Markovian models which allow us to represent two different options for the use of the guard channel concept. We put emphasis on the numerical evaluation of the redial behavior and the environmental factors on the system performance. This implies the performance analysis of a variety of descriptors including blocking probabilities (handover and fresh calls), mean average analysis, waiting time in orbit, etc.