On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
Fast simulation of rare events in queueing and reliability models
ACM Transactions on Modeling and Computer Simulation (TOMACS)
SIAM Journal on Scientific Computing
On–off fluid models in heavy traffic environment
Queueing Systems: Theory and Applications
ON SPECTRAL SIMULATION OF FRACTIONAL BROWNIAN MOTION
Probability in the Engineering and Informational Sciences
FAST SIMULATION OF A QUEUE FED BY A SUPERPOSITION OF MANY (HEAVY-TAILED) SOURCES
Probability in the Engineering and Informational Sciences
Efficient simulation for tail probabilities of Gaussian random fields
Proceedings of the 40th Conference on Winter Simulation
Large deviations theory: basic principles and applications to communication networks
Network performance engineering
NEW2AN'07 Proceedings of the 7th international conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking
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In this article, we study a queue fed by a large number n of independent discrete-time Gaussian processes with stationary increments. We consider the many-sources asymptotic regime, that is, the buffer-exceedance threshold B and the service capacity C are scaled by the number of sources (B ≡ nb and C ≡ nc).We discuss four methods for simulating the steady-state probability that the buffer threshold is exceeded: the single-twist method (suggested by large deviation theory), the cut-and-twist method (simulating timeslot by timeslot), the random-twist method (the twist is sampled from a discrete distribution), and the sequential-twist method (simulating source by source).The asymptotic efficiency of these four methods is analytically investigated for n → ∞. A necessary and sufficient condition is derived for the efficiency of the single-twist method, indicating that it is nearly always asymptotically inefficient. The other three methods, however, are asymptotically efficient. We numerically evaluate the four methods by performing a detailed simulation study where it is our main objective to compare the three efficient methods in practical situations.