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Authors: Jurek Czyzowicz 1 ; Konstantinos Georgiou 2 ; Evangelos Kranakis 3 ; Fraser MacQuarrie 3 and Dominik Pajak 4

Affiliations: 1 Universite du Quebec en Outaouais, Canada ; 2 Ryerson University, Canada ; 3 Carleton University, Canada ; 4 Wroclaw University of Technology, Poland

Keyword(s): Idleness, Mobile Robots, Patrolling, Speed, Walking, Scheduling.

Related Ontology Subjects/Areas/Topics: Applications ; Artificial Intelligence ; Knowledge Discovery and Information Retrieval ; Knowledge-Based Systems ; Methodologies and Technologies ; Operational Research ; Optimization ; Pattern Recognition ; Scheduling ; Software Engineering ; Symbolic Systems

Abstract: A fence is to be patrolled collectively by n robots. At any moment a robot may move in one of the two possible states: walking or patrolling. Each state is associated with a maximal moving speed which cannot be exceeded. We want to schedule the perpetual movements of the robots so as to minimize the idleness, defined as the smallest time interval within which every point is always visited by some robot. First, we give a centralized algorithm constructing schedules with optimal idleness, and subsequently we show an interesting application to a transportation problem concerning Scheduling with Regular Delivery. Our main contribution is the study of distributed, dynamical schedules for patrolling robots with only primitive capabilities. Surprisingly, we are able to design a dynamic schedule for very weak collections of two robots (silent, oblivious, passively mobile), achieving the optimal idleness. Part of our contribution is a very technical analysis of the dynamics of special familie s of dynamical systems of n robots that we call regular. For such systems we also propose a highly non-trivial O(n2) algorithm to decide whether or not robots converge to a stable configuration thus verifying if the dynamic schedule is optimal. (More)

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Paper citation in several formats:
Czyzowicz, J.; Georgiou, K.; Kranakis, E.; MacQuarrie, F. and Pajak, D. (2016). Fence Patrolling with Two-speed Robots. In Proceedings of 5th the International Conference on Operations Research and Enterprise Systems - ICORES, ISBN 978-989-758-171-7; ISSN 2184-4372, pages 229-241. DOI: 10.5220/0005687102290241

@conference{icores16,
author={Jurek Czyzowicz. and Konstantinos Georgiou. and Evangelos Kranakis. and Fraser MacQuarrie. and Dominik Pajak.},
title={Fence Patrolling with Two-speed Robots},
booktitle={Proceedings of 5th the International Conference on Operations Research and Enterprise Systems - ICORES,},
year={2016},
pages={229-241},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005687102290241},
isbn={978-989-758-171-7},
issn={2184-4372},
}

TY - CONF

JO - Proceedings of 5th the International Conference on Operations Research and Enterprise Systems - ICORES,
TI - Fence Patrolling with Two-speed Robots
SN - 978-989-758-171-7
IS - 2184-4372
AU - Czyzowicz, J.
AU - Georgiou, K.
AU - Kranakis, E.
AU - MacQuarrie, F.
AU - Pajak, D.
PY - 2016
SP - 229
EP - 241
DO - 10.5220/0005687102290241

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