Uncertainty Intervals for Robust Bottleneck Assignment

24 May 2020  ·  Michael Elad, Wood Tony A., Manzie Chris, Shames Iman ·

We examine the robustness of bottleneck assignment problems to perturbations in the assignment weights. We derive two algorithms that provide uncertainty bounds for robust assignment. We prove that the bottleneck assignment is guaranteed to be invariant to perturbations which lie within the provided bounds. We apply the method to an example of task assignment for a multi-agent system.

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Optimization and Control