A Two-Node Jackson Network With Infinite Supply Of Work

Authors:
Ivo Adan;Gideon Weiss
Affiliations:
Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands, E-mail: iadan@win.tue.nl;Department of Statistics, The University of Haifa, Mount Carmel 31905, Israel, E-mail: gweiss@stat.haifa.ac.il
Venue:
Probability in the Engineering and Informational Sciences
Year:
2005

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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.