A two node Jackson network with infinite supply of work
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Ivo Adan, Eindhoven University of Technology.

Gideon Weiss, The University of Haifa.

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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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Key words: Queueing, manufacturing, communication networks, Jackson networks, Markovian multiclass queueing networks, infinite virtual buffers, steady state, distributions, compensation approach.

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