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A note on single server loss systems with a superposition of inputs

Part of: Special processes Stochastic processes

Published online by Cambridge University Press:  14 July 2016

Helmut Willie
Helmut Willie*
Affiliation:
Deutsche Telekom
*
∗Postal address: Deutsche Telekom, Research and Technology Center, Postfach 100003, D-64276 Darmstadt, Germany.
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Abstract

Explicit formulas for the time congestion and the call blocking probability are derived in a single server loss system whose total input consists of a finite superposition of independent general stationary traffic streams with exponentially distributed service times. The results are used for studying to what extent two arrival processes with coinciding customer-stationary state distributions are similar or even identical, and whether an arrival process with coinciding customer-stationary and time-stationary state distributions is of the Poisson type.

Keywords

G1 + ···+ GN/M/1 LOSS SYSTEMTIME CONGESTIONCALL BLOCKING PROBABILITYARRIVAL PROCESS IDENTIFICATION

MSC classification

Primary: 60K25: Queueing theory
Secondary: 60G55: Point processes
Type
Research Papers
Information
Journal of Applied Probability , Volume 34 , Issue 1 , March 1997 , pp. 213 - 222
Copyright
Copyright © Applied Probability Trust 1997 

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References

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