Abstract

Store-and-forward buffer (buffer memory) at a remote terminal in a resource sharing local computer network of a few users is modeled as a close realistic single server queueing model with finite size, Erlang arrival data packets, constant service time, synchronous transmission, and a single server interruption through a first-order Markov process. A closed expression for the Erlang arrival data packets is derived from the fundamentals without using the usual stage method concept. A simple solution which was not presented previously is also developed to calculate the steady-state buffer content probabilities. Finally, an application of the above model is suggested, and then the terminal buffer memory performance is studied in terms of overflow probability and expected queueing delay for various values of traffic intensity, buffer memory length, and Erlang parameter, and some of the computed values are portrayed in graphs.

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