Asymptotic Estimates for Blocking Probabilities in a Large Multi-Rate Loss Network

Alain D. Simonian · J.W. Roberts · François Théberge · Ravi R. Mazumdar

18 citations0/0 files storedAdvances in Applied Probability

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Advanced Queuing Theory Analysis Network Traffic and Congestion Control Wireless Communication Networks Research

Abstract

In this paper, asymptotic estimates for the blocking probability of a call pertaining to a given route in a large multi-rate circuit-switched network are given. Concentrating on low load and critical load conditions, these estimates are essentially derived by using probability change techniques applied to the distribution of the number of occupied links. Such estimates for blocking probabilities are also given a uniform expression applicable to both load regimes. This uniform expression is numerically validated via simple examples.

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1991Loss Networks 1986Blocking probabilities in large circuit-switched networks 1994Erlang capacity and uniform approximations for shared unbuffered resources 1995An algorithm to compute blocking probabilities in multi-rate multi-class multi-resource loss models 1989On critically loaded loss networks 1993Blocking probabilities for large multirate erlang loss systems 1991A critically loaded multiclass Erlang loss system

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