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Queueing systems with restricted workload: an explicit solution

Published online by Cambridge University Press:  14 July 2016

Nico M. Van Dijk
Nico M. Van Dijk*
Affiliation:
Free University, Amsterdam
*
∗Postal address: Faculty of Economics and Econometrics, Free University, Postbus 7161, 1007 MC Amsterdam, The Netherlands.
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Abstract

Queueing systems with non-exponential service distributions and a capacity restriction on the total residual service requirement (workload) are studied. Closed-form expressions of geometric form in the LCFS case and recursive representations in the FCFS case are obtained for the steady state workload distribution. The proof is of interest in itself and directly leads to extensions.

Keywords

RECURSIVE REPRESENTATIONPARTIAL BALANCE
Type
Research Papers
Information
Journal of Applied Probability , Volume 27 , Issue 2 , June 1990 , pp. 393 - 400
Copyright
Copyright © Applied Probability Trust 1990 

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