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A TWO-NODE JACKSON NETWORK WITH INFINITE SUPPLY OF WORK

Published online by Cambridge University Press:  23 March 2005

Ivo Adan  and
Gideon Weiss
Ivo Adan
Affiliation:
Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands, E-mail: iadan@win.tue.nl
Gideon Weiss
Affiliation:
Department of Statistics, The University of Haifa, Mount Carmel 31905, Israel, E-mail: gweiss@stat.haifa.ac.il
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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.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 19 , Issue 2 , April 2005 , pp. 191 - 212
Copyright
© 2005 Cambridge University Press

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References

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