The Steady-state Solution for the Queueing Process Ek/Em/r

Colin Poyntz · R. R. P. Jackson

12 citations0/0 files storedJournal of the Operational Research Society

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

The Ek/Em/r queue is analysed using a single generating function with many associated variables. Augmenting equations are derived which, when added to the steady state equations, give sufficient conditions to solve for the state probabilities of the system.

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References

1960Queues, Inventories and Maintenance.2014Elements of Queueing Theory 1973Queueing Theory in OR.1968Steady State Solution of the Queue M/Ek/r 1965Boundary problems for additive processes defined on a finite Markov chain 1956Some Equilibrium Results for the Queueing Process EK/M/1

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1978Some practical considerations on multi-server queues with multiple poisson arrivals

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