1998
DOI: 10.1109/35.707815
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Simulation of rare events in communications networks

Abstract: MComputer simulation is an important tool in the analysis and design of communications networks. In spite of the advances in computational power, using simulation to obtain rare event probabilities such as cell/packet loss or delay in networks still requires prohibitively long execution times. We provide an overview of importance sampling techniques and how they can be used to provide orders of magnitude speedup for many network problems. His research has been in telecommunication systems modeling, efficient s… Show more

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Cited by 26 publications
(15 citation statements)
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“…No universally applicable VRT can be found. However, such VRTs as Importance Sampling or Splitting (or Restart) can give spectacular speedup in the case of rare event simulation; see for example [29].…”
Section: Final Commentsmentioning
confidence: 99%
“…No universally applicable VRT can be found. However, such VRTs as Importance Sampling or Splitting (or Restart) can give spectacular speedup in the case of rare event simulation; see for example [29].…”
Section: Final Commentsmentioning
confidence: 99%
“…A good introduction to "quick simulation" via importance sampling can be found in Bucklew [1990]. Townsend et al [1998] give a good introduction to this technique for evaluating rare events in communications networks (exactly the problem when, for example, simulating cell-loss probabilities in ATM networks). A more specialized use for the IS method is found in Li et al [1998], where it is used to accelerate the simulation of, specifically, self-similar traffic.…”
Section: Previous Techniques For Accelerated Network Simulationmentioning
confidence: 99%
“…Importance sampling (IS) [Townsend et al 1998;Deman and Boel 1998;Suzuki and Nakagawa 1998] has also been used to simulate rare events such as cell-loss probability in ATM networks. Fundamentally, IS is based on the notion of modifying, or biasing, the underlying probabilities in such a way that rare events occur much more frequently.…”
Section: Previous Techniques For Accelerated Network Simulationmentioning
confidence: 99%
“…Estimation of probability of rare events has therefore become of great interest, especially in financial engineering [1] , air traffic management [2] , optical fiber [3] , telecommunication networks [4] , climatology [5] and high reliability industrial system [6] . However, crude Monte Carlo estimators are no more efficient and specific techniques dedicated to rare events are required.…”
Section: Introductionmentioning
confidence: 99%