"Event-Detecting Multi-Agent MDPs: Complexity and Constant-Factor Appro" by Akshat KUMAR and S. Zilberstein
 

Publication Type

Conference Proceeding Article

Version

acceptedVersion

Publication Date

2009

Abstract

Planning under uncertainty for multiple agents has grown rapidly with the development of formal models such as multi-agent MDPs and decentralized MDPs. But despite their richness, the applicability of these models remains limited due to their computational complexity. We present the class of event-detecting multi-agent MDPs (eMMDPs), designed to detect multiple mobile targets by a team of sensor agents. We show that eMMDPs are NP-Hard and present a scalable 2-approximation algorithm for solving them using matroid theory and constraint optimization. The complexity of the algorithm is linear in the state-space and number of agents, quadratic in the horizon, and exponential only in a small parameter that depends on the interaction among the agents. Despite the worst-case approximation ratio of 2, experimental results show that the algorithm produces near-optimal policies for a range of test problems.

Discipline

Artificial Intelligence and Robotics | Business | Operations Research, Systems Engineering and Industrial Engineering

Publication

International Joint Conference on Artificial Intelligence (IJCAI)

First Page

201

Last Page

207

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