Iterative shepherding control for agents with heterogeneous responsivity

In the context of the theory of multi-agent systems, the shepherding problem refers to designing the dynamics of a herding agent, called a sheepdog, so that a given flock of agents, called sheep, is guided into a goal region. Although several effective methodologies and algorithms have been proposed...

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Main Authors: Ryoto Himo, Masaki Ogura, Naoki Wakamiya
Format: Article
Language:English
Published: AIMS Press 2022-02-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/mbe.2022162?viewType=HTML
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author Ryoto Himo
Masaki Ogura
Naoki Wakamiya
author_facet Ryoto Himo
Masaki Ogura
Naoki Wakamiya
author_sort Ryoto Himo
collection DOAJ
description In the context of the theory of multi-agent systems, the shepherding problem refers to designing the dynamics of a herding agent, called a sheepdog, so that a given flock of agents, called sheep, is guided into a goal region. Although several effective methodologies and algorithms have been proposed in the last decade for the shepherding problem under various formulations, little research has been directed to the practically important case in which the flock contains sheep agents unresponsive to the sheepdog agent. To fill in this gap, we propose a sheepdog algorithm for guiding unresponsive sheep in this paper. In the algorithm, the sheepdog iteratively applies an existing shepherding algorithm, the farthest-agent targeting algorithm, while dynamically switching its destination. This procedure achieves the incremental growth of a controllable flock, which finally enables the sheepdog to guide the entire flock into the goal region. Furthermore, we illustrate by numerical simulations that the proposed algorithm can outperform the farthest-agent targeting algorithm.
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spelling doaj.art-e1fcb4e75b254aeba4ca96137006db492022-12-22T01:39:55ZengAIMS PressMathematical Biosciences and Engineering1551-00182022-02-011943509352510.3934/mbe.2022162Iterative shepherding control for agents with heterogeneous responsivityRyoto Himo0Masaki Ogura1Naoki Wakamiya2Graduate School of Information Science and Technology, Osaka University, 1–5 Yamadaoka, Suita, Osaka 565–0871, JapanGraduate School of Information Science and Technology, Osaka University, 1–5 Yamadaoka, Suita, Osaka 565–0871, JapanGraduate School of Information Science and Technology, Osaka University, 1–5 Yamadaoka, Suita, Osaka 565–0871, JapanIn the context of the theory of multi-agent systems, the shepherding problem refers to designing the dynamics of a herding agent, called a sheepdog, so that a given flock of agents, called sheep, is guided into a goal region. Although several effective methodologies and algorithms have been proposed in the last decade for the shepherding problem under various formulations, little research has been directed to the practically important case in which the flock contains sheep agents unresponsive to the sheepdog agent. To fill in this gap, we propose a sheepdog algorithm for guiding unresponsive sheep in this paper. In the algorithm, the sheepdog iteratively applies an existing shepherding algorithm, the farthest-agent targeting algorithm, while dynamically switching its destination. This procedure achieves the incremental growth of a controllable flock, which finally enables the sheepdog to guide the entire flock into the goal region. Furthermore, we illustrate by numerical simulations that the proposed algorithm can outperform the farthest-agent targeting algorithm.http://www.aimspress.com/article/doi/10.3934/mbe.2022162?viewType=HTMLshepherdingheterogeneityfarthest-agent targetingmulti-agent systems
spellingShingle Ryoto Himo
Masaki Ogura
Naoki Wakamiya
Iterative shepherding control for agents with heterogeneous responsivity
Mathematical Biosciences and Engineering
shepherding
heterogeneity
farthest-agent targeting
multi-agent systems
title Iterative shepherding control for agents with heterogeneous responsivity
title_full Iterative shepherding control for agents with heterogeneous responsivity
title_fullStr Iterative shepherding control for agents with heterogeneous responsivity
title_full_unstemmed Iterative shepherding control for agents with heterogeneous responsivity
title_short Iterative shepherding control for agents with heterogeneous responsivity
title_sort iterative shepherding control for agents with heterogeneous responsivity
topic shepherding
heterogeneity
farthest-agent targeting
multi-agent systems
url http://www.aimspress.com/article/doi/10.3934/mbe.2022162?viewType=HTML
work_keys_str_mv AT ryotohimo iterativeshepherdingcontrolforagentswithheterogeneousresponsivity
AT masakiogura iterativeshepherdingcontrolforagentswithheterogeneousresponsivity
AT naokiwakamiya iterativeshepherdingcontrolforagentswithheterogeneousresponsivity