Uncertainty-Aware Multi-Robot Task Allocation With Strongly Coupled Inter-Robot Rewards

This paper proposes a task allocation algorithm for teams of heterogeneous robots in environments with uncertain task requirements. We model these requirements as probability distributions over capabilities and use this model to allocate tasks such that robots with complementary skills naturally position near uncertain tasks, proactively mitigating task failures without wasting resources. We introduce a market-based approach that optimizes the joint team objective while explicitly capturing coupled rewards between robots, offering a polynomial-time solution in decentralized settings with strict communication assumptions. Comparative experiments against benchmark algorithms demonstrate the effectiveness of our approach and highlight the challenges of incorporating coupled rewards in a decentralized formulation.