Blocking probabilities in small communication networks
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Analytic models of communication networks, combining the desired degree of simplicity and accuracy, are noticeable by their absence from the literature. Modern networks are so large that the combinatorial possibilities impose an overwhelming burden on mathematical model formulation. High speed digital simulations provide one of the only means of solution for the systems planner. Military communication networks offer more hope for analytical solution. Much smaller than their civilian counterparts, most military systems can be modelled satisfactorily as aggregations of queues. This paper provides approximations to the probability of blocking in 2 terminal, k-channel systems. The probability of blocking is defined as the probability that a vacant channel is available for connecting a caller to his desired party whenever the call is placed.
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