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The M/G/k group-arrival group-departure loss system

Published online by Cambridge University Press:  14 July 2016

D. Fakinos
D. Fakinos*
Affiliation:
Air Force General Staff, Athens
*
∗ Postal address: 45 Trivonianou St., T.T. 407, Mets, Athens, Greece.
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Abstract

This paper considers the equilibrium behaviour of the M/G/k group-arrival group-departure loss system. Such a system has k servers whose customers arrive in groups, the arrival epochs of groups being points of a Poisson process. The duration of a service can be characteristic of the group size; however, customers who belong to the same group have equal service times. The customers of a group start being served immediately upon their arrival, unless their number is greater than the number of idle servers. In this case the whole group leaves and does not return later (i.e. is lost). Among other things, a generalization of the Erlang B-formula is given and it is shown that the arrival and departure processes are statistically indistinguishable.

Keywords

M/G/k LOSS SYSTEMBULK ARRIVALSEQUILIBRIUM DISTRIBUTIONDEPARTURE PROCESS
Type
Research Papers
Information
Journal of Applied Probability , Volume 19 , Issue 4 , December 1982 , pp. 826 - 834
Copyright
Copyright © Applied Probability Trust 1982 

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References

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