Individual customer’s behaviour in networks with state-dependent arrival rates |
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Authors: | Daduna Hans Meyer Stephan |
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Institution: | (1) Institute of Mathematical Stochastics, University of Hamburg, Bundesstrasse 55, D-20146 Hamburg, Germany |
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Abstract: | We consider Jackson networks with state-dependent arrival and service rates which show product form or nearly product form
steady-states and come up with examples of load-dependent admission control. For these networks we prove an arrival theorem
for external as well as for internal arrivals. In case of open tandem systems with state-independent service rates we compute
the joint distribution of the sojourn times of a customer in the nodes and the distribution of the customer’s end-to-end-delay.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | steady-states arrival theorem joint sojourn times vector end-to-end-delay state-dependent queues admission control |
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