Coalition structure generation with worst case guarantees
Artificial Intelligence
Generating Coalition Structures with Finite Bound from the Optimal Guarantees
AAMAS '04 Proceedings of the Third International Joint Conference on Autonomous Agents and Multiagent Systems - Volume 2
An improved dynamic programming algorithm for coalition structure generation
Proceedings of the 7th international joint conference on Autonomous agents and multiagent systems - Volume 3
Coalition structure generation: dynamic programming meets anytime optimization
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 1
An anytime algorithm for optimal coalition structure generation
Journal of Artificial Intelligence Research
Methods for task allocation via agent coalition formation
Artificial Intelligence
Coalition structure generation utilizing compact characteristic function representations
CP'09 Proceedings of the 15th international conference on Principles and practice of constraint programming
Constant factor approximation algorithms for coalition structure generation
Autonomous Agents and Multi-Agent Systems
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Randomization can be employed to achieve constant factor approximations to the coalition structure generation problem in less time than all previous approximation algorithms. In particular, this manuscript presents a new randomized algorithm that can generate a 23 approximate solution in O(n2.587^n) time, improving upon the previous algorithm that required O(n2.83^n) time to guarantee the same performance. Also, the presented new techniques allow a 14 approximate solution to be generated in the optimal time of O(2^n) and improves on the previous best approximation ratio obtainable in O(2^n) time of 18. The presented algorithms are based upon a careful analysis of the sizes and numbers of coalitions in the smallest optimal coalition structures. An empirical analysis of the new randomized algorithms compared to their deterministic counterparts is provided. We find that the presented randomized algorithms generate solutions with utility comparable to what is returned by their deterministic counterparts (in some cases producing better results on average). Moreover, a significant speedup was found for most approximation ratios for the randomized algorithms over the deterministic algorithms. In particular, the randomized 12 approximate algorithm runs in approximately 22.4% of the time required for the deterministic 12 approximation algorithm for problems with between 20 and 27 agents.