Game Theoretic Resource Optimization for Battle Management
Department of Defense
Missile Defense Agency
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AbstractThe resource allocation problem and the associated resource management solution is composed of three levels. At the highest level is the game theoretic mapping of alternative offense and defense actions, much like a chess game. At the next level is the large-scale efficient mathematical optimization formulation of the game theory matrix. At the last level is the solution of each optimization sub-problem using either traditional algorithms (such as Linear Programming, Mixed-Integer Programming etc.) or heuristic algorithms (such as Genetic Algorithms). From a systems engineering standpoint, we can envision this algorithm running in the C2BMC, every 15 minutes or so, based on real-time intelligence data on the adversary's moves. The algorithm itself would only a couple of minutes to run. The output will be the optimal resource allocation for the anticipated threat launch events.
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