Title

Distributed Hedonic Coalition Formation for Multi-Robot Task Allocation

Document Type

Conference Proceeding

Publication Date

8-23-2021

Subject Area

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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

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