On computing per-session performance bounds in high-speed multi-hop computer networks
SIGMETRICS '92/PERFORMANCE '92 Proceedings of the 1992 ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
IEEE/ACM Transactions on Networking (TON)
Performance Guarantees in Communication Networks
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Optimal trajectory to overflow in a queue fed by a large number of sources
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IEEE Journal on Selected Areas in Communications
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Proceedings of the 12th annual ACM international conference on Multimedia
Importance sampling for the estimation of buffer overflow probabilities via trace-driven simulations
IEEE/ACM Transactions on Networking (TON)
An estimator of regulator parameters in a stochastic setting
IEEE/ACM Transactions on Networking (TON)
Application of rare event techniques to trace driven simulation
WSC '05 Proceedings of the 37th conference on Winter simulation
Loss ratio approximations in buffered systems with regulated inputs
valuetools '06 Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
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ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)
A calculus for stochastic QoS analysis
Performance Evaluation
Performance bounds for feedforward queueing networks with upper-constrained inputs
Performance Evaluation
Buffer overflow asymptotics for multiplexed regulated traffic
Performance Evaluation
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Queueing Systems: Theory and Applications
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NETWORKING'05 Proceedings of the 4th IFIP-TC6 international conference on Networking Technologies, Services, and Protocols; Performance of Computer and Communication Networks; Mobile and Wireless Communication Systems
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ACM SIGMETRICS Performance Evaluation Review
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In this paper, we consider the performance analysis problem for a work conserving link with a large number of independent regulated inputs. For such a problem, we derive simple stochastic bounds under a general traffic constraint for the inputs. The bound for queue length is shown to be a stochastic extension of the deterministic worst case bound and it is asymptotically tighter than the bound in Kesidis and Konstantopoulos [23]. We also test the bound by considering periodic inputs with independent starting phases. Based on Sanov's theorem and importance sampling, we propose a fast simulation algorithm that achieves significant variance reduction. The simulations results are compared with our stochastic bound and the bound in [23].