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2008
Springer

Merging and splitting autocorrelated arrival processes and impact on queueing performance

10 years 1 months ago
Merging and splitting autocorrelated arrival processes and impact on queueing performance
We have proposed a three-parameter renewal approximation to analyze splitting and superposition of autocorrelated processes. We define the index of dispersion for counts of an ordinary process used in a new and more accurate technique to estimate the third parameter. Then, we express this newly defined index of dispersion for the superposition in terms of the ordinary as well as the stationary indices of dispersion of the originally autocorrelated component processes. Hence, even if the superposition data is not observable, as long as sufficient information exists on component processes, the parameters of the proposed renewal approximation can be estimated accurately. The accurate renewal approximation of a general process helps sustain accuracy if it is split, by-passing the need to sample from branched processes. We have tested the impact of our approximation on the accuracy of the mean waiting time, which compared favorably with simulation results of the original systems. Keywords ...
Baris Balcioglu, David L. Jagerman, Tayfur Altiok
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2008
Where PE
Authors Baris Balcioglu, David L. Jagerman, Tayfur Altiok
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