Asymptotics of overflow probabilities in Jackson networks

Asymptotics of overflow probabilities in Jackson networks

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Article ID: iaor20043378
Country: Netherlands
Volume: 32
Issue: 3
Start Page Number: 265
End Page Number: 272
Publication Date: May 2004
Journal: Operations Research Letters
Authors:
Keywords: Jackson network
Abstract:

We consider the probability that the total population of a Jackson network exceeds a given large value. By using the relation to the stationary distribution, we derive upper and lower bounds on this probability. These bounds imply a stronger logarithmic limit when multiple nodes have the same maximal load.

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