PhD Seminar Series: Large-scale Network Optimization: Centralized and Decentralized Approaches for Resilient Infrastructure Systems
10:00 am to 11:00 am
This talk focuses on large-scale optimization models for restoring infrastructure systems, in face of disruptions, from both centralized and decentralized perspectives. To accelerate the optimization procedure for a single objective function problem, a new learn-to-branch-and-price approach is proposed to use the rich information generated during the optimization and physical network features. This formulation is extended to multi-objective optimization and a learn-to-decompose algorithm is developed to periodically learn from the obtained Pareto front and guide the search direction. While these models present a centralized view for the operation and restoration of these systems, rarely is there only one decision maker for the infrastructure systems. In the decentralized decision-making paradigm, individual decision makers need to decide how to allocate resources and eventually improve the aggregated infrastructure systems resilience. A cooperative game theory model, coupled with network optimization, is then formulated to explore coalitional structures to coordinate resource allocation decisions towards system optimality. The proposed approaches are applied to water distribution and transportation networks in the City of Tampa and the transportation network in Oklahoma City to demonstrate the feasibility for the city-scale infrastructure systems.
Professor Shima Mohebbi is an assistant professor in the Department of Systems Engineering and Operations Research, and affiliate faculty of Computer Science and Civil, Environmental, and Infrastructure Engineering at George Mason University.
Her research interests include game theory, network optimization, simulation, and interpretable machine learning with applications in resilient infrastructure systems, sustainable water systems, and smart and connected communities. Her research is supported by the National Science Foundation and the U.S. Department of Transportation. Dr. Mohebbi serves as the president-elect in the Modeling and Simulation Division of the Institute of Industrial and Systems Engineers and is passionate about engineering education and outreach activities.
In her spare time, Dr. Mohebbi enjoys playing the piano and is an outdoor enthusiast.