Rare Event Simulation Methodologies and Applications

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Rare-Event Simulation

Rare events are events that are expected to occur infrequently or, more technically, those that have low probabilities (say, order of 10 3 or less) of occurring according to a probability model. In the context of uncertainty quantification, the rare events often correspond to failure of systems designed for high reliability, meaning that the system performance fails to meet some design or opera...

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Rare-Event Simulation

for n large. The approximation (1.1) asserts that the “easy problem instances” arise when α is either close to 0 or 1, and that the “hardest problem instances” arise when α ≈ 1/2. This (perhaps surprising) conclusion arises because (1.1) is describing the absolute error associated with the computation. But in rare-event simulation, we are concerned with relative error, not absolute error (i.e. ...

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Rare event simulation

Discrete event simulation as a method for performance evaluation has become an indispensable tool in many fields, e.g., teletraffic engineering. New communication networks and services pose extreme requirements regarding the quality of service, e.g., cell loss probabilities in ATM1 networks in the order of 10 . Straightforward simulation for this type of rare event leads to simulation run times...

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Rare Event Simulation

This paper deals with estimations of probabilities of rare events using fast simulation based on the splitting method. In this technique, the sample paths are split into multiple copies at various stages in the simulation. Our aim is to optimize the algorithm and to obtain a precise confidence interval of the estimator using branching processes. The numerical results presented suggest that the ...

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Introduction to rare event simulation

This monograph deals with the analysis by simulation of ‘rare situations’ in systems of quite different types, that is, situations that happen very infrequently, but important enough to justify their study. A rare event is an event occurring with a very small probability, the definition of ‘small’ depending on the application domain. These events are of interest in many areas. Typical examples ...

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ژورنال

عنوان ژورنال: SIMULATION

سال: 2007

ISSN: 0037-5497,1741-3133

DOI: 10.1177/0037549707089548