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|Title:||Approximating a cumulative distribution function by generalized hyperexponential distributions|
|Authors:||Ou, J. |
|Source:||Ou, J.,Li, J.,Özekici, S. (1997). Approximating a cumulative distribution function by generalized hyperexponential distributions. Probability in the Engineering and Informational Sciences 11 (1) : 11-18. ScholarBank@NUS Repository.|
|Abstract:||Recent developments in stochastic modeling show that enormous analytical advantages can be gained if a general cumulative distribution function (c.d.f.) can be approximated by generalized hyperexponential distributions. In this paper, we introduce a procedure to explicitly construct such approximations of an arbitrary c.d.f. Although our approach can be used in different types of stochastic models, the main motivation comes from queueing theory in obtaining approximations of the idle-period distribution and other performance measures in GI/G/1 queues.|
|Source Title:||Probability in the Engineering and Informational Sciences|
|Appears in Collections:||Staff Publications|
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