Self-averaging property of queuing systems

Self-averaging property of queuing systems

We establish the averaging property for a queuing process with one server, M(t)/GI/1. It is a new relation between the output flow rate and the input flow rate, crucial in the study of the Poisson Hypothesis. Its implications include the statement that the output flow always possesses more regularit...

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Veröffentlicht in:Problems of information transmission 2006-12, Vol.42 (4), p.344-355
Hauptverfasser: Vladimirov, A. A., Rybko, A. N., Shlosman, S. B.
Format: Artikel
Sprache:eng
Schlagworte:
Condensed Matter
Physics
Statistical Mechanics
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Zusammenfassung:We establish the averaging property for a queuing process with one server, M(t)/GI/1. It is a new relation between the output flow rate and the input flow rate, crucial in the study of the Poisson Hypothesis. Its implications include the statement that the output flow always possesses more regularity than the input flow.
ISSN:0032-9460
1608-3253
DOI:10.1134/S0032946006040077