Date of Award
Master of Science in Operations Research
Department of Operational Sciences
Brian J. Lunday, PhD
Air bases in key locations provide a strategic advantage to the countries that access them, and are at constant threat from adversaries. This research seeks to determine the optimal maneuvering of a fixed number of fighter aircraft in a combat air patrol for defensive counterair to maximally and effectively attrit the inbound cruise missile threat to a stationary high value asset such as an air base. The problem formulation identifies multiple objectives for the model: minimize the distance traveled for the fighters, minimize the time utilized to engage the incoming cruise missiles, and maximize the number of cruise missiles destroyed. The model is a mobile routing problem with a mobile demand, where the demand is the set of incoming cruise missiles that the fighter seeks to engage. The ℇ-constraint method is used as the multi-objective optimization technique to determine the full set of Pareto efficient solutions. An a priori hierarchical multi-objective method called lexicographic optimization is used to determine if there is a ranking of objectives that solved more efficiently. Lexicographic optimization is used to solve the model for each objective sequentially.
DTIC Accession Number
Wilson, Andrew S., "Defensive Counterair for Air Base Air Defense using Directed Energy and Kinetic Energy Weapons" (2021). Theses and Dissertations. 5028.