Speaker: Eunju Sohn
Title:
The probability distribution of the occupied spaces of a processor sharing
storage allocation model
Abstract:
We consider a storage model with m primary holding spaces, infinitely many
secondary ones, and a processor sharing server that services the stored
items. All spaces are ranked and numbered, and a new customer occupies the
lowest ranked space. We study the number of occupied spaces in this model,
obtaining exact solutions for m=1 and m=2, and asymptotic ones for general
(possibly large) m.
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Speaker: Qiang Zhen
Title:
Asymptotic Expansions For The Sojourn Time Distribution In PS Queue
Abstract:
We consider $M/M/1$ and $M/G/1$ queues with a processor sharing (PS)
server. We obtain the conditional sojourn time distribution, conditioned
on the customer's service requirement, as well as the unconditional
distribution, in various asymptotic limits. These include large time
and/or large service request, and heavy traffic, where the arrival rate is
only slightly less than the service rate.
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Speaker: Sean Lynch
Title:
Convection Diffusion Past a Circle
Abstract:
We consider the concentration of some substance in the plane, exterior to
the unit circle. The substance diffuses in the plane and is convected to
the right by a uniform field. The concentration satisfies a linear
elliptic PDE. We assume that the Peclet number is large (thus convection
dominates diffusion), and use singular perturbation methods to analyze the
PDE in the "shadow" regions, where the concentration is very small.
Numerical results are used to back up the perturbation solution.
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Speaker: Kathy Piret
Title:
PHCpython: The Python interface to PHCpack
Abstract:
Solving polynomial systems is a fundamental problem which ocurrs often in
Engineering and Science. PHCpack is a software package using Polynomial
Homotopy Continuation to numerically solve systems of polynomial
equations. Since there are many benefits of Python, it makes sense to
create an interface to PHCpack in Python. PHCpython is a python wrapper
over the C programming interface to the core Ada routines in PHCpack.
Applications respond well because more CPU cycles are spent in fast C and
Ada code and fewer are spent in spinning the Python interpreter's wheel.
----------------------------------------------------------------------------
Speaker: David St John
Title:
What is Technical Analysis
Abstract:
The talk I will give is a brief overview of what technical analysis is,
some history of academic work on the topic, and what I intend to do for my
thesis work. The main topics will be Bootstrapping and Data Snooping.
----------------------------------------------------------------------------
Speaker: Luissette Hernandez-Medina
Title: BBM equation on finite trees
Abstract:
Regions where arterial bifurcation occurs have been found to
be prone to vascular diseases such as atherosclerosis. It is
therefore of considerable interest to understand blood flow
in arterial networks. In this study, the BBM equation from
shallow water theory is used to model the fluid flow, as
suggested in the work of Cascaval. Extending the range of
the previous study, which only dealt with flow in a single
elastic tube, we consider the equations posed on a finite
tree, along with boundary and consistency conditions.
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