A Markovian model of a network of two wireless devices

Abstract

The authors present a Markovian queuing model of two wireless devices sharing a sending channel and its behavior during the work. The authors investigate some measures (that is: the average queue length, the system utilization and the probability of packet loss). To find these values we compute transient probabilities of all the states of a Markov chain with the use of uniformization method. The Markov chain represents a queuing model of a system of two devices mentioned above. The probabilities are used in some analytical formulas for the investigated measures. © 2012 Springer-Verlag.