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- W2044608010 abstract "We consider the classical Engset traffic model. Time congestion, call congestion, and traffic congestion formulæ for a system with S sources and n servers are generalised to fractional values of sourcesand servers. The generalised Engset time congestion formula can be written in terms of incomplete beta functions, which can be conveniently expressed in terms of a continued fraction expansions, resulting in an effective numerical procedure. Associated recursion formulæ for the generalised Engset time congestion are similar to the well-known recursions for integral values of both S and n. In the particular case that n is integral and S is fractional (S≫n) we present a simple Markovian traffic model, an Engset–Poisson mixture, from which it becomes clear how to physically interpret an Engset traffic source with fractional S. Numerical examples are given." @default.
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- W2044608010 date "2001-01-01" @default.
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- W2044608010 title "Engset Formulæ with Continuous Parameters – Theory and Applications" @default.
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- W2044608010 doi "https://doi.org/10.1078/1434-8411-00002" @default.
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