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Two multivehicle routing problems are considered in the framework that a visit to a location must take place during a specific time window in order to be counted and all time windows are the same length. In the first problem, the goal is to…

Data Structures and Algorithms · Computer Science 2011-01-21 Greg N. Frederickson , Barry Wittman

In the continuous 1.5-dimensional terrain guarding problem we are given an $x$-monotone chain (the \emph{terrain} $T$) and ask for the minimum number of point guards (located anywhere on $T$), such that all points of $T$ are covered by at…

Computational Geometry · Computer Science 2014-07-29 Stephan Friedrichs , Michael Hemmer , Christiane Schmidt

We consider three shortest path problems in directed graphs with random arc lengths. For the first and the second problems, a risk measure is involved. While the first problem consists in finding a path minimizing this risk measure, the…

Data Structures and Algorithms · Computer Science 2014-09-29 Axel Parmentier , Frédéric Meunier

In this work, we propose a novel and efficient method for smoothing polylines in motion planning tasks. The algorithm applies to motion planning of vehicles with bounded curvature. In the paper, we show that the generated path: 1) has…

Robotics · Computer Science 2025-02-25 Patrick Pastorelli , Simone Dagnino , Enrico Saccon , Marco Frego , Luigi Palopoli

We present results on new variants of the famous linear search (or cow-path) problem that involves an agent searching for a target with unknown position on the infinite line. We consider the variant where the agent can move either at speed…

Discrete Mathematics · Computer Science 2025-05-15 Jared Coleman , Oscar Morales-Ponce

We investigate multiple fundamental variants of the classic coordinated motion planning (CMP) problem for unit square robots in the plane under the $L_1$ metric. In coordinated motion planning, we are given two arrangements of $k$ robots…

Computational Geometry · Computer Science 2026-03-18 Sarita de Berg , Joachim Gudmundsson , Peter Kramer , Christian Rieck , Sampson Wong

We address the following problem: Given a simple polygon $P$ with $n$ vertices and two points $s$ and $t$ inside it, find a minimum link path between them such that a given target point $q$ is visible from at least one point on the path.…

Computational Geometry · Computer Science 2021-03-02 Mohammad Reza Zarrabi , Nasrollah Moghaddam Charkari

We study several natural instances of the geometric hitting set problem for input consisting of sets of line segments (and rays, lines) having a small number of distinct slopes. These problems model path monitoring (e.g., on road networks)…

Computational Geometry · Computer Science 2016-12-20 Sándor P. Fekete , Kan Huang , Joseph S. B. Mitchell , Ojas Parekh , Cynthia A. Phillips

In this work we propose a coverage planning control approach which allows a mobile agent, equipped with a controllable sensor (i.e., a camera) with limited sensing domain (i.e., finite sensing range and angle of view), to cover the surface…

We consider the problem of searching for an object on a line at an unknown distance OPT from the original position of the searcher, in the presence of a cost of d for each time the searcher changes direction. This is a generalization of the…

Data Structures and Algorithms · Computer Science 2007-05-23 Erik D. Demaine , Sandor P. Fekete , Shmuel Gal

This paper is concerned with determining the shortest path for a pursuer aiming to intercept a moving target travelling at a constant speed. To address this challenge, we introduce an efficient mathematical model outlined as an optimal…

Optimization and Control · Mathematics 2025-01-28 M. Akter , M. M. Rizvi , M. Forkan

The subpath planning problem is a branch of the path planning problem, which has widespread applications in automated manufacturing process as well as vehicle and robot navigation. This problem is to find the shortest path or tour subject…

Robotics · Computer Science 2016-03-22 Masoud Safilian , S. Mehdi Tashakkori , Sepehr Eghbali , Aliakbar Safilian

Cooperation between mobile robots and wireless sensor networks is a line of research that is currently attracting a lot of attention. In this context, we study the following problem of barrier coverage by stationary wireless sensors that…

Data Structures and Algorithms · Computer Science 2014-10-27 J. Czyzowicz , E. Kranakis , D. Krizanc , L. Narayanan , J. Opatrny

The growing amount of applications that generate vast amount of data in short time scales render the problem of partial monitoring, coupled with prediction, a rather fundamental one. We study the aforementioned canonical problem under the…

Data Structures and Algorithms · Computer Science 2016-08-02 Michalis Kallitsis , Stilian Stoev , George Michailidis

Multi-robot systems are widely used for coverage tasks that require efficient coordination across large environments. In Multi-Robot Coverage Path Planning (MCPP), the objective is typically to minimize the makespan by generating…

Robotics · Computer Science 2026-01-05 Kanghoon Lee , Hyeonjun Kim , Jiachen Li , Jinkyoo Park

In appearance-based localization and mapping, loop closure detection is the process used to determinate if the current observation comes from a previously visited location or a new one. As the size of the internal map increases, so does the…

Robotics · Computer Science 2024-07-23 Mathieu Labbé , François Michaud

In this paper we consider the coverage control problem for a team of wire-traversing robots. The two-dimensional motion of robots moving in a planar environment has to be projected to one-dimensional manifolds representing the wires.…

Robotics · Computer Science 2018-02-27 Gennaro Notomista , Magnus Egerstedt

This paper focused on the design of an optimized object tracking technique which would minimize the processing time required in the object detection process while maintaining accuracy in detecting the desired moving object in a cluttered…

Computer Vision and Pattern Recognition · Computer Science 2021-03-10 Liana Ellen Taylor , Midriem Mirdanies , Roni Permana Saputra

Maximum coverage and minimum set cover problems --collectively called coverage problems-- have been studied extensively in streaming models. However, previous research not only achieve sub-optimal approximation factors and space…

Data Structures and Algorithms · Computer Science 2017-03-13 Mohammadhossein Bateni , Hossein Esfandiari , Vahab Mirrokni

Path cover is a well-known intractable problem that finds a minimum number of vertex disjoint paths in a given graph to cover all the vertices. We show that a variant, where the objective function is not the number of paths but the number…

Data Structures and Algorithms · Computer Science 2018-03-09 Yinhui Cai , Guangting Chen , Yong Chen , Randy Goebel , Guohui Lin , Longcheng Liu , An Zhang
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