On the M/G/k group-arrival loss system

On the M/G/k group-arrival loss system

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Article ID: iaor1991325
Country: Netherlands
Volume: 44
Issue: 1
Start Page Number: 75
End Page Number: 83
Publication Date: Jan 1990
Journal: European Journal of Operational Research
Authors:
Abstract:

In this paper results are given concerning the equilibrium behaviour of the M/G/k group-arrival loss system. Such a system has k servers whose customers arrive in accordance with a compound Poisson process and operates as follows. Whenever an arriving group of size j finds n servers busy, then a number min(j,k-n) of its members are accepted for service while the remaining customers leave and do not return later, that is, are lost to the system. The service times of the accepted members may be dependent random variables. In the first part of the paper explicit results are obtained for a particular case concerning the service time distributions. In the second part some results are given for the general model and these are applied to the two-server case.

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