Stochastic modelling and analysis: a computational approach
Stochastic modelling and analysis: a computational approach
On the self-similar nature of Ethernet traffic
SIGCOMM '93 Conference proceedings on Communications architectures, protocols and applications
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
SIGCOMM '95 Proceedings of the conference on Applications, technologies, architectures, and protocols for computer communication
Exploiting process lifetime distributions for dynamic load balancing
Proceedings of the 1996 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Self-similarity in World Wide Web traffic: evidence and possible causes
IEEE/ACM Transactions on Networking (TON)
Time-shared Systems: a theoretical treatment
Journal of the ACM (JACM)
Waiting Time Distributions for Processor-Sharing Systems
Journal of the ACM (JACM)
Self-Similar Network Traffic and Performance Evaluation
Self-Similar Network Traffic and Performance Evaluation
Sojourn time asymptotics in the M/G/1 processor sharing queue
Queueing Systems: Theory and Applications
Self-similar processes in communications networks
IEEE Transactions on Information Theory
The effect of multiple time scales and subexponentiality in MPEG video streams on queueing behavior
IEEE Journal on Selected Areas in Communications
HSDPA flow level performance: the impact of key system and traffic aspects
MSWiM '04 Proceedings of the 7th ACM international symposium on Modeling, analysis and simulation of wireless and mobile systems
ACM SIGMETRICS Performance Evaluation Review
On processor sharing and its applications to cellular data network provisioning
Performance Evaluation
Flow vs. time sampling for throughput performance evaluation
Performance Evaluation
Proceedings of the 3rd ACM workshop on Wireless multimedia networking and performance modeling
Throughputs in processor sharing models for integrated stream and elastic traffic
Performance Evaluation
Multi-service load sharing for resource management in the cellular/WLAN integrated network
IEEE Transactions on Wireless Communications
Call admission control jointly with resource reservation in cellular wireless networks
EURASIP Journal on Wireless Communications and Networking
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We study a telecommunications network integrating stream calls and elastic calls that share a given number of available traffic channels. The prioritised speech calls are handled as in a traditional Erlang loss model, while the delay-tolerant elastic calls are served with the remaining (varying) service capacity according to a processor sharing (PS) discipline. The remarkable observation is presented and analytically supported that the expected elastic call holding time is decreasing in the variability of the elastic call size distribution. This phenomenon is demonstrated for both Weibull and Pareto elastic call size distributions. Since the reverse effect is known to hold if elastic calls are served in a first-in first-out (FIFO) manner, an extended model is considered which limits the number of service positions in the elastic calls' PS queue and holds excessive calls into a feeding FIFO queue. The impact of the elastic call size variability is demonstrated to depend on the number of service positions in the PS queue, as this determines whether the 'PS' or the (reverse) 'FIFO effect' is dominant. As a consequence of the principal result, network planning guidelines or admission control schemes that are developed based on deterministic or lightly variable elastic call sizes are likely to be conservative and inefficient, given the commonly acknowledged property of e.g. WWW documents to be heavy-tailed. Application areas of the models and results include fixed TCP/IP or ATM networks and mobile cellular GSM/GPRS and UMTS networks.