Abstract: Network reliability studies properties of networks subjected to random failures of their components. It has been widely adopted to modeling and analyzing real-world problems across different domains. Two practical situations that usually arise from such problems are (i) the correlation between component failures and (ii) the uncertainty in the failure probabilities, both of which are often overlooked from the literature. In this seminar, I will talk about recent developments in the theory of network reliability that aims at addressing both problems. For the first problem, we assign components with random variables while allowing the variables to be jointly distributed; for the second, we model component failure probabilities using Beta distributions. We study properties of the resulting reliability polynomials as polynomials of Beta random variables and demonstrate the use of model on two real-world systems.
Bio: Hoang Hai Nguyen (Frank) is a Ph.D. candidate in the ECE Department at the University of Illinois at Urbana-Champaign. He also holds a research assistantship at the Information Trust Institute under the direction of professor David M. Nicol. Before joining UIUC, he worked four years as a full-time software engineer at the Advanced Digital Sciences Center (ADSC), a Singapore-based research center established and led by UIUC. His research interest is in the security modeling of computer networks and simulation of cyber-physical systems.