🤖 AI Summary
This work addresses cooperative sensing and data dissemination in multi-robot systems operating over connected graphs, aiming to minimize the Age of Information (AoI) while accounting for stochastic sensing delays and hop-based communication delays. By decomposing AoI into sensing and propagation components, the authors separately optimize robot resource allocation and sample transmission paths. The sensing component is formulated as a separable discrete convex resource allocation problem, solved optimally via a greedy water-filling algorithm, while the propagation component leverages shortest-path trees combined with Eulerian tours to construct a full-delivery mechanism. Theoretical analysis demonstrates that this mechanism achieves the derived network-wide lower bound on AoI, and simulations confirm its effectiveness in significantly reducing AoI compared to baseline approaches.
📝 Abstract
A team of mobile robots monitors spatially distributed processes and delivers measurements to a base, where AoI is measured from sensing start, capturing both stochastic parallel sensing delays and hop-based propagation. At each non-base node, multiple robots may collaborate, yielding node-dependent geometric group sensing times, while other robots act as mobile conveyors that transport samples along unit-time edges. The paper first derives a per-node and network-wide AoI lower bound that decomposes into a sensing term, determined by mean group sensing times, and a propagation term, given by shortest-path distances. It then shows that minimizing the sensing component yields a separable discretely convex resource allocation problem, solved optimally by a greedy water-filling algorithm. A shortest-path-tree conveyor architecture with an Euler-walk deployment is constructed and proven to attain the lower bound in a full-conveyor regime. Numerical simulations illustrate the impact of sensing allocation and conveyor deployment on AoI performance.