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Tracking a Set of Moving Objects with MinimalPeak Power

A common sensing problem is to use a set of stationary tracking locations to monitor a collection of moving devices. Given n objects that need to be tracked, each following its own trajectory, and m stationary traffic control stations, each with a sensing region that can be changed over time; how should we adjust the individual sensor ranges in order to optimize energy consumption? We illustrate how to combine geometric insights with mathematical optimization to find optimal solutions for the min max variant of the problem, which aims at minimizing peak power consumption. Instances with 500 moving objects and 25 stations can be solved in the order of seconds for scenarios that take minutes to play out in the real world, demonstrating real-time capability of our methods. This is a media contribution to the 2026 Symposium on Computational Geometry.