Stability and control of transportation and communication networks

This project uses and develops a variety of analytical and computational tools to study stochastic networks subject to congestion. The  project   consists of two parts. The first part focuses on networks where congestion results in queueing of work in the system. The second part focuses on networks where congestion results in balking or loss behaviour of work. Moment generating functions, scaling limits, and martingale methods are all used to establish novel results for these systems. Each part concludes with the development of a state of the art computational method for approaching interesting stability and management questions.