Major Papers


Laplace Transform, catastrophe, Poisson process, traffic


We consider a task which has a completion time T (if not interrupted), which is a random variable with probability density function (pdf) f(t), t>0. Before it is complete, the task may be interrupted by a Poisson process with rate lambda. If that happens, then the task must begin again, with the same completion time random variable T, but with a potentially different realization. These interruptions can reoccur, until eventually the task is finished, with a total time of W. In this paper, we will find the Laplace Transform of W in several special cases.

Primary Advisor

Dr. Myron Hlynka

Program Reader

Dr. Abdulkadir Hussein

Degree Name

Master of Science


Mathematics and Statistics

Document Type

Major Research Paper

Convocation Year