Multiplayer Multi-armed Bandits for Optimal Assignment in Heterogeneous Networks
This addresses the challenge of efficient resource allocation in decentralized networks without coordination, which is incremental as it builds on existing multi-armed bandit approaches.
The paper tackles the problem of decentralized channel assignment in ad hoc networks with unknown heterogeneous channels, where collisions reduce throughput, and develops algorithms that achieve near-optimal allocation with high probability and logarithmic regret, outperforming state-of-the-art methods like CSM-MAB, dE3, and dE3-TS in experiments.
We consider an ad hoc network where multiple users access the same set of channels. The channel characteristics are unknown and could be different for each user (heterogeneous). No controller is available to coordinate channel selections by the users, and if multiple users select the same channel, they collide and none of them receive any rate (or reward). For such a completely decentralized network we develop algorithms that aim to achieve optimal network throughput. Due to lack of any direct communication between the users, we allow each user to exchange information by transmitting in a specific pattern and sense such transmissions from others. However, such transmissions and sensing for information exchange do not add to network throughput. For the wideband sensing and narrowband sensing scenarios, we first develop explore-and-commit algorithms that converge to near-optimal allocation with high probability in a small number of rounds. Building on this, we develop an algorithm that gives logarithmic regret, even when the number of users changes with time. We validate our claims through extensive experiments and show that our algorithms perform significantly better than the state-of-the-art CSM-MAB, dE3 and dE3-TS algorithms.