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Individual customer’s behaviour in networks with state-dependent arrival rates
Authors:Daduna  Hans  Meyer  Stephan
Institution:(1) Institute of Mathematical Stochastics, University of Hamburg, Bundesstrasse 55, D-20146 Hamburg, Germany
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.
Keywords:steady-states  arrival theorem  joint sojourn times vector  end-to-end-delay  state-dependent queues  admission control
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