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Steady state of loss systems with a superposition of inputs

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Abstract

The total input of a loss system consisting of a finite number of fully available, identical servers is assumed to be a superposition of a finite number of partial traffic streams, which need not be independent and which are represented by a random marked point process. This paper derives existence, uniqueness and ergodic statements for the steady state of the system at several observation points, i.e. at an arbitrary point in time and at the arrival instants of calls belonging to a fixed partial stream.

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  1. Research Institute of the Deutsche Bundespost TELEKOM at the FTZ, Postfach 10 00 03, D-6100, Darmstadt, Germany

    Helmut Willie

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  1. Helmut Willie
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Willie, H. Steady state of loss systems with a superposition of inputs. Queueing Syst 9, 441–460 (1991). https://doi.org/10.1007/BF01159226

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  • DOI: https://doi.org/10.1007/BF01159226

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