Distributed Hedonic Coalition Formation for Multi-Robot Task Allocation
Document Type
Conference Proceeding
Publication Date
8-23-2021
Abstract
In this paper, we study the problem of allocating multiple heterogeneous robots to tasks. Due to the limited capabilities of the robots, a task might need more than one robot to complete it. The fundamental problem of optimally partitioning the set of n robots into m disjoint coalitions for allocating to m tasks is proven to be NP-hard. To solve this computationally intractable problem, we propose a distributed hedonic game formulation, where each robot decides to join or not join a team based on the other robots allocated to that particular task. It uses a bipartite matching technique to establish an initial set of coalitions before letting the robots coordinate asynchronously and change teams if desired. Our proposed solution is proved to converge to a Nash-stable solution. Results show that our proposed approach is fast and handles asynchronous robot-to-robot communication while earning more utility (up to 23%) than an existing technique in the majority of the test cases.
Publication Title
IEEE International Conference on Automation Science and Engineering
Volume
2021-August
First Page
639
Last Page
644
Digital Object Identifier (DOI)
10.1109/CASE49439.2021.9551582
ISSN
21618070
E-ISSN
21618089
ISBN
9781665418737
Citation Information
A. Dutta, V. Ufimtsev, T. Said, I. Jang and R. Eggen, "Distributed Hedonic Coalition Formation for Multi-Robot Task Allocation," 2021 IEEE 17th International Conference on Automation Science and Engineering (CASE), 2021, pp. 639-644, doi: 10.1109/CASE49439.2021.9551582.