Self-averaging property of queuing systems

Author： Vladimirov A.   Rybko A.   Shlosman S.  

Publisher： MAIK Nauka/Interperiodica

ISSN： 0032-9460

Source： Problems of Information Transmission, Vol.42, Iss.4, 2006-12, pp. : 344-355

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

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Abstract

We establish an averaging property for a one-server queuing process, M(t)/G/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.

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