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Construction of stationary state distributions for loss systems

Bernd Lisek

Open publisher page 5 citations

Abstract

A stationary state distribution will be constructed for a loss system G/G/m/0 without additional restrictive conditions. It will be shown by examples that for a given input there may exist several stationary state distributions. A sufficient and necessary criterion for the uniqueness will be formulated.

About this research paper

What this paper is about

A stationary state distribution will be constructed for a loss system G/G/m/0 without additional restrictive conditions. It will be shown by examples that for a given input there may exist several stationary state distributions. A sufficient and necessary criterion for the uniqueness will be formulated.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A stationary state distribution will be constructed for a loss system G/G/m/0 without additional restrictive conditions. It will be shown by examples that for a given input there may exist several stationary state distributions. A sufficient and necessary criterion for the uniqueness will be formulated.

Key concepts: Uniqueness, Stationary state, State (computer science), Stationary distribution, Mathematics, Distribution (mathematics), Applied mathematics, Control theory (sociology)

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