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arXiv · 1012.1288

Representations of task assignments in distributed systems using Young tableaux and symmetric groups

Dohan Kim
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Abstract

This paper presents a novel approach to representing task assignments for partitioned agents (respectively, tasks) in distributed systems. A partition of agents (respectively, tasks) is represented by a Young tableau, which is one of the main tools in studying symmetric groups and combinatorics. In this paper we propose a task, agent, and assignment tableau in order to represent a task assignment for partitioned agents (respectively, tasks) in a distributed system. This paper is concerned with representations of task assignments rather than finding approximate or near optimal solutions for task assignments. A Young tableau approach allows us to raise the expressiveness of partitioned agents (respectively, tasks) and their task assignments.

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Dohan Kim. 2010-12-06. Representations of task assignments in distributed systems using Young tableaux and symmetric groups. https://doi.org/10.1080/17445760.2014.997729

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