Dean's Seminar: A Mathematical Model of File Uploads and Downloads

Wednesday, April 6, 2016

3:30 PM-5:00 PM

Xiaoming Song, PhD, assistant professor of mathematics

 

The infinite source Poisson arrival model formulates the work inflow of uploading or downloading files at a computer station. Data reveals that these files arrive at the station randomly, with the distribution of a Poisson process, and that the distribution of the file sizes has heavy tails. Depending on the system's feedback, the model also requires that the acceptance of these files be controlled by a natural family of policies. Thanks to the admission control policies, a stochastic differential equation can be used to describe the evolution of some suitably scaled and centered cumulative workload input processes by the central limit theorem. In one special case of the control policies, a fractional version of a stationary Ornstein-Uhlenbeck process can be obtained.

The College of Arts and Sciences' Dean's Seminars are free and open to the Drexel community. Light refreshments will be served.