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Effective bandwidths at multiclass queues
 Queueing Systems
, 1991
"... Consider a queue which serves traffic from a number of distinct sources and which is required to deliver a performance guarantee, expressed in terms of the mean delay or the probability the delay exceeds a threshold. For various simple models we show that an effective bandwidth can be associated wit ..."
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Consider a queue which serves traffic from a number of distinct sources and which is required to deliver a performance guarantee, expressed in terms of the mean delay or the probability the delay exceeds a threshold. For various simple models we show that an effective bandwidth can be associated with each source, and that the queue can deliver its performance guarantee by limiting the sources served so that their effective bandwidths sum to less than the capacity of the queue. Keywords: large deviations, M/G/1 queue, circuitswitched network, connection acceptance control. 1.
Dynamic Call Admission Control of an ATM Multiplexer with On/Off Sources
 Proc. 34 Conf. Decision and Control
, 1995
"... We consider the problem of call admission control for an ATM multiplexer by formulating it as a semiMarkov decision process. Our model consists of a single link with two types of calls. While in the system, a call sends out cells as an on/off fluid source. The objective is to maximize the long run a ..."
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We consider the problem of call admission control for an ATM multiplexer by formulating it as a semiMarkov decision process. Our model consists of a single link with two types of calls. While in the system, a call sends out cells as an on/off fluid source. The objective is to maximize the long run average reward from call acceptance subject to constraints that the fraction of cells of each type that are lost must be below given levels. Our numerical results allow us to contrast two related formulations of the optimization problem: `aggressive' and `conservative'. In addition, we quantify the effect of using cell level control to replace the two cell loss constraints by one. 1. Introduction ATM (Asynchronous Transfer Mode) appears to be the leading contender for the transport mechanism in emerging broadband multimedia networks. One of the primary attractions of ATM is that it provides for more efficient utilization of bandwidth, being based on cell (packet) switching rather than circui...
Mathematical Models of Multiservice Networks
 Complex Stochastic Systems and Engineering
, 1993
"... This paper describes several simple models that have helped our understanding of communication networks, and describes some of the new problems that arise in connection with the multiservice networks planned for the future. ..."
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This paper describes several simple models that have helped our understanding of communication networks, and describes some of the new problems that arise in connection with the multiservice networks planned for the future.
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"... Abstract Consider a queue which serves traffic from a number of distinct sourcesand which is required to deliver a performance guarantee, expressed in terms of the mean delay or the probability the delay exceeds a threshold. For various simple models we show that an effective bandwidth can be assoc ..."
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Abstract Consider a queue which serves traffic from a number of distinct sourcesand which is required to deliver a performance guarantee, expressed in terms of the mean delay or the probability the delay exceeds a threshold. For various simple models we show that an effective bandwidth can be associated with each source, and that the queue can deliverits performance guarantee by limiting the sources served so that their effective bandwidths sum to less than the capacity of the queue. Keywords: large deviations, M/G/1 queue, circuitswitched network,connection acceptance control.
Kalevi Kilkki: Traffic Characterisation and Connection Admission Control in ATM Networks
"... The greatly variable requirements of different applications, particularly those of video and data sources, make high demands on the development of traffic control in ATM networks. A control scheme in ATM networks should take into account the limited knowledge of traffic behaviour, the additional exp ..."
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The greatly variable requirements of different applications, particularly those of video and data sources, make high demands on the development of traffic control in ATM networks. A control scheme in ATM networks should take into account the limited knowledge of traffic behaviour, the additional expenses due to complexity and the profit achieved by high utilisation. The purpose of this study was to enhance the knowledge of the traffic process and by that means to develop efficient methods for Connection Admission Control in ATM networks. The main tools in the development of traffic models were in two divisions. Firstly, traffic variations can be classified into three time scales: cell scale with short term fluctuations, burst scale with intermediate fluctuations, and ratevariation scale with long term fluctuations that cannot be buffered in ATM nodes. Secondly, it is possible to separate the traffic models in homogeneous cases from those of heterogeneous cases. As regards the heterogeneous approximations it transpired that each type of traffic variation has a corresponding simple approximate model. There are good mathematical reasons to apply the effective bandwidth model at cell scale and a model using the