Lagrangian Relaxation for Large-Scale Multi-Agent Planning

• Main Authors: Gordon, Geoffrey J., VARAKANTHAM, Pradeep, YEOH, William, LAU, Hoong Chuin, Aravamudhan, Ajay Srinivasan, CHENG, Shih-Fen
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2012
• Subjects: Multi-agent Planning; Lagrangian Relaxation; Artificial Intelligence and Robotics; Theory and Algorithms
• Online Access: https://ink.library.smu.edu.sg/larc/3; https://ink.library.smu.edu.sg/cgi/viewcontent.cgi?article=1002&context=larc
• Institution: Singapore Management University

Multi-agent planning is a well-studied problem with applications in various areas. Due to computational constraints, existing research typically focuses either on unstructured domains with many agents, where we are content with heuristic solutions, or domains with small numbers of agents or special structure, where we can find provably near-optimal solutions. In contrast, here we focus on provably near-optimal solutions in domains with many agents, by exploiting influence limit. To that end, we make two key contributions: (a) an algorithm, based on Lagrangian relaxation and randomized rounding, for solving multi-agent planning problems represented as large mixed-integer programs; (b) a proof of convergence of our algorithm to a near-optimal solution.