Estimating buffer overflows in three stages using cross-entropy

Boer de, P.T. and Kroese, D.P. and Rubinstein, R.Y. (2002) Estimating buffer overflows in three stages using cross-entropy. In: Proceedings of the 2002 Winter Simulation Conference. ACM-IEEE, pp. 301-309. ISBN 9780780376144

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Abstract:	In this paper we propose a fast adaptive importance sampling method for the efficient simulation of buffer overflow probabilities in queueing networks. The method comprises three stages. First we estimate the minimum cross-entropy tilting parameter for a small buffer level; next, we use this as a starting value for the estimation of the optimal tilting parameter for the actual (large) buffer level; finally, the tilting parameter just found is used to estimate the overflow probability of interest. We recognize three distinct properties of the method which together explain why the method works well; we conjecture that they hold for quite general queueing networks. Numerical results support this conjecture and demonstrate the high efficiency of the proposed algorithm.
Item Type:	Book Section
Copyright:	©2002 IEEE
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Design and Analysis of Communication Systems (DACS)
Link to this item:	http://purl.utwente.nl/publications/37982
Official URL:	http://dx.doi.org/10.1109/WSC.2002.1172899
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