Abstract
The single inter-arrival distribution function of the superposition of N independent bursty arrival processes is obtained, assuming that each bursty arrival stream is an interrupted Poisson process. It is shown that this probability distribution function is hyperexponential with 2N phases. Its parameters are given by a closed form expression, and they can be easily computed. Using this probability distribution function, we address the problem of how many busrty arrival processes are required so that the resulting superposition process may be approximated by a Poisson process.
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