A TWO-NODE JACKSON NETWORK WITH INFINITE SUPPLY OF WORK

Ivo Adan · Gideon Weiss

48 citations0/0 files storedProbability in the Engineering and Informational Sciences

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Advanced Queuing Theory Analysis Probability and Statistical Research Stochastic processes and statistical mechanics

Abstract

We consider a Jackson network with two nodes, with no exogenous input, but instead an infinite supply of work at each of the nodes: Whenever a node is empty, it processes a job from this infinite supply. We obtain an explicit expression for the steady state distribution of this system, as an infinite sum of product forms.

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References

2004Jobshop-Like Queueing Systems 1975Utilization of Idle Time in an M / G /1 Queueing System 1953On the Stochastic Matrices Associated with Certain Queuing Processes 2006Economic and organizational effects of different legal and organizational forms of enterprises 1993A compensation approach for two-dimensional Markov processes 1984The non-ergodic Jackson network 1963JOBSHOP-LIKE QUEUEING SYSTEMS

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2009Positive Harris recurrence and diffusion scale analysis of a push pull queueing network 2008Positive Harris Recurrence and Diffusion Scale Analysis of a Push Pull Queueing Network

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