Proceedings of the 1976 ACM SIGMETRICS Conference on Computer Performance Modeling Measurement and Evaluation - SIGMETRICS '76 1976
DOI: 10.1145/800200.806188
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Probabilistic models of computer systems

Abstract: We develop a method based on diffusion approximations in order to compute, under some general conditions, the queue length distribution for a queue in a network. Applications to computer networks and to time-sharing systems are presented.

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Cited by 8 publications
(4 citation statements)
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“…It was also recently tested for Software Defined Networks (François and Gelenbe [34]) and for intercontinental overlay networks over the Internet (Brun,Wang,and Gelenbe [16], François and Gelenbe [33]). While traditional network research has relied on mathematical modeling and discrete event simulation (Gelenbe [42,43]), CPN is based on an autonomic or selforganized approach (Gelenbe, Seref, and Xu [136]) that suggests that decisions based on "naturally inspired heuristics" (Gelenbe [54]) can be effective even in environments where adversarial agents may operate (Gelenbe and Cao [74]).…”
Section: Autonomic Systems and Cognitive Packet Network (Cpns)mentioning
confidence: 99%
“…It was also recently tested for Software Defined Networks (François and Gelenbe [34]) and for intercontinental overlay networks over the Internet (Brun,Wang,and Gelenbe [16], François and Gelenbe [33]). While traditional network research has relied on mathematical modeling and discrete event simulation (Gelenbe [42,43]), CPN is based on an autonomic or selforganized approach (Gelenbe, Seref, and Xu [136]) that suggests that decisions based on "naturally inspired heuristics" (Gelenbe [54]) can be effective even in environments where adversarial agents may operate (Gelenbe and Cao [74]).…”
Section: Autonomic Systems and Cognitive Packet Network (Cpns)mentioning
confidence: 99%
“…CPN related was a clear break with Erol's traditional research which has relied essentially on mathematical modeling and simulation [40][41][42]137,155].…”
Section: Autonomic Communications and Cpnmentioning
confidence: 99%
“…The natural choice for this approach is multi-class queueing and diffusion models [10,17] and related methods. Such models provide estimates of both averages and variances of the times that it would take to undertake signaling or call processing functions, as well as of access times to web sites and other services, in the presence of a large population of mobile users in the network, once the average service times and task sequences are known.…”
Section: Modellingmentioning
confidence: 99%