Homogeneous markov processes on discrete time queues to continuous time

Discrete time analysis queues have always been popular with engineers who are very keen on obtaining numerical values out of their analyses for the sake of experimentation and design. As telecommunication systems are based more on digital technology these days than analog the need to use discrete time analysis for queues has become more important. Besides, we find that several queues which are difficult to analyze by the continuous time approach are sometimes easier to analyze using discrete time method. Of course, there are some queueing problems which are easier to analyze using continuous time approach instead of discrete time. We discuss, in this paper, to transfer the discrete time results to Markov processes in continuous time.