Maximum entropy and the G/G/1/N queue
Acta Informatica
Entropy maximised queueing networks with blocking and multiple job classes
Performance Evaluation - Special issue on queueing networks with finite capacity
On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
Long-tail buffer-content distributions in broadband networks
Performance Evaluation
Long-lasting transient conditions in simulations with heavy-tailed workloads
Proceedings of the 29th conference on Winter simulation
Self-similarity in World Wide Web traffic: evidence and possible causes
IEEE/ACM Transactions on Networking (TON)
End-to-end internet packet dynamics
IEEE/ACM Transactions on Networking (TON)
A maximum entropy queue length distribution for the G/G/1 finite capacity queue
SIGMETRICS '86/PERFORMANCE '86 Proceedings of the 1986 ACM SIGMETRICS joint international conference on Computer performance modelling, measurement and evaluation
MRE: a robust method of inference for finite capacity queues
System performance evaluation
A cost-effective approximation for SRD traffic in arbitrary multi-buffered networks
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special Issue: performance modeling and evaluation of ATM networks
High Speed Networks and Internets: Performance and Quality of Service
High Speed Networks and Internets: Performance and Quality of Service
Product-Form Approximations for an Extended Class of General Closed Queueing Networks
Performance '90 Proceedings of the 14th IFIP WG 7.3 International Symposium on Computer Performance Modelling, Measurement and Evaluation
Entropy maximisation and open queueing networks with priorities and blocking
Performance Evaluation
Iterative analysis of networks of queues
Iterative analysis of networks of queues
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Long range dependent trafic
PERFORM'10 Proceedings of the 2010 IFIP WG 6.3/7.3 international conference on Performance Evaluation of Computer and Communication Systems: milestones and future challenges
Law of error in Tsallis statistics
IEEE Transactions on Information Theory
On multimedia networks: self-similar traffic and network performance
IEEE Communications Magazine
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An exposition of the 'extensive' (EME) and 'non-extensive' (NME) maximum entropy formalisms is undertaken in conjunction with their applicability into the analysis of queues with bursty and/or heavy tails that are often observed in performance evaluation studies of heterogeneous networks and Internet exhibiting traffic burstiness, self-similarity and long-range dependence (LRD). The credibility of these formalisms, as methods of inductive inference, for the study of physical systems with both short-range and long-range interactions is explored in terms of four potential consistency axioms. Focusing on stable single server queues, it is shown that the EME and NME state probabilities are characterized by generalised types of modified geometric and Zipf-Mandelbrot distributions depicting, respectively, bursty generalized exponential and/or heavy tailswith asymptotic power law behaviour. Numerical experiments are included to highlight the credibility of the maximum entropy solutions and assess the combined impact of traffic burstiness and self-similarity on the performance of the queue.