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The waiting-time process of a queueing system with gamma-type input and blocking

Published online by Cambridge University Press:  14 July 2016

C. Langaris*
Affiliation:
University of Ioannina
*
Postal address: Department of Mathematics, University of Ioannina, Ioannina 45332, Greece.

Abstract

In this work the first-come-first-served waiting-time process of a customer in a two-stage queueing network without intermediate waiting space is analysed. We assume that the arrivals follow the gamma distribution, the service times in the first stage are arbitrarily distributed, and the service times in the second stage are again of gamma type.

Connecting the waiting time of the (n + 1)th customer with that of the nth and locating the zeros of a certain function we derive expressions for the Laplace transform of the waiting-time distribution both in the transient and the steady state.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1986 

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References

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