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Individual customer’s behaviour in networks with state-dependent arrival rates (1999)

Daduna, Hans ; Meyer, Stephan

Springer

Queueing systems 32 (1999), S. 351-362

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ISSN: 1572-9443

Keywords: steady-states ; arrival theorem ; joint sojourn times vector ; end-to-end-delay ; state-dependent queues ; admission control

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1019103507843

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