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In this paper, we study the problem of moving $n$ sensors on a line to form a barrier coverage of a specified segment of the line such that the maximum moving distance of the sensors is minimized. Previously, it was an open question whether…

Computational Geometry · Computer Science 2015-06-25 Danny Z. Chen , Yan Gu , Jian Li , Haitao Wang

We consider an interval coverage problem. Given $n$ intervals of the same length on a line $L$ and a line segment $B$ on $L$, we want to move the intervals along $L$ such that every point of $B$ is covered by at least one interval and the…

Computational Geometry · Computer Science 2014-12-09 Aaron M. Andrews , Haitao Wang

Assume n wireless mobile sensors are initially dispersed in an ad hoc manner in a rectangular region. They are required to move to final locations so that they can detect any intruder crossing the region in a direction parallel to the sides…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-26 Stefan Dobrev , Evangelos Kranakis , Danny Krizanc , Manuel Lafond , Jan Manuch , Lata Narayanan , Jaroslav Opatrny , Ladislav Stacho

In this paper, we consider the problems for covering multiple intervals on a line. Given a set $B$ of $m$ line segments (called "barriers") on a horizontal line $L$ and another set $S$ of $n$ horizontal line segments of the same length in…

Computational Geometry · Computer Science 2018-08-09 Shimin Li , Haitao Wang

Sensor networks are ubiquitously used for detection and tracking and as a result covering is one of the main tasks of such networks. We study the problem of maximizing the coverage lifetime of a barrier by mobile sensors with limited…

Data Structures and Algorithms · Computer Science 2013-04-24 Amotz Bar-Noy , Dror Rawitz , Peter Terlecky

Time-varying coverage, namely sweep coverage is a recent development in the area of wireless sensor networks, where a small number of mobile sensors sweep or monitor comparatively large number of locations periodically. In this article we…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-11 Barun Gorain , Partha Sarathi Mandal

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

A belt region is said to be k-barrier covered by a set of sensors if all paths crossing the width of the belt region intersect the sensing regions of at least k sensors. Barrier coverage can be achieved from a random initial deployment of…

Networking and Internet Architecture · Computer Science 2016-11-23 Ashutosh Baheti , Arobinda Gupta

This paper considers a movement minimization problem for mobile sensors. Given a set of $n$ point targets, the $k$-Sink Minimum Movement Target Coverage Problem is to schedule mobile sensors, initially located at $k$ base stations, to cover…

Computational Geometry · Computer Science 2023-05-09 Nonthaphat Wongwattanakij , Nattawut Phetmak , Chaiporn Jaikaeo , Jittat Fakcharoenphol

Given a line barrier and a set of mobile sensors distributed in the plane, the Minimizing Maximum Sensor Movement problem (MMSM) for \textcolor{black}{line barrier coverage} is to compute relocation positions for the sensors in the plane…

Data Structures and Algorithms · Computer Science 2017-06-07 Longkun Guo , Hong Shen

We show that for any set of $n$ points moving along "simple" trajectories (i.e., each coordinate is described with a polynomial of bounded degree) in $\Re^d$ and any parameter $2 \le k \le n$, one can select a fixed non-empty subset of the…

Computational Geometry · Computer Science 2017-04-28 Jean-Lou De Carufel , Matya Katz , Matias Korman , André van Renssen , Marcel Roeloffzen , Shakhar Smorodinsky

We investigate the problem of using mobile robots equipped with 2D range sensors to optimally guard perimeters or regions, i.e., 1D or 2D sets. Given such a set of arbitrary shape to be guarded, and $k$ mobile sensors where the $i$-th…

Robotics · Computer Science 2020-06-11 Si Wei Feng , Jingjin Yu

A segment (barrier) is specified on the plane, as well as depots, where the mobile devices (drones) can be placed. Each drone departs from its depot to the barrier, moves along the barrier and returns to its depot, traveling a path of a…

Discrete Mathematics · Computer Science 2025-02-25 Adil Erzin , Anzhela Shadrina

An important application of wireless sensor networks is the deployment of mobile sensors to periodically monitor (cover) a set of points of interest (PoIs). The problem of Point Sweep Coverage is to deploy fewest sensors to periodically…

Data Structures and Algorithms · Computer Science 2017-06-28 Dieyan Liang , Hong Shen

Given a set of objects with durations (jobs) that cover a base region, can we schedule the jobs to maximize the duration the original region remains covered? We call this problem the sensor cover problem. This problem arises in the context…

Data Structures and Algorithms · Computer Science 2007-05-23 Adam L. Buchsbaum , Alon Efrat , Shaili Jain , Suresh Venkatasubramanian , Ke Yi

In Wireless Sensor Networks, sensors are used for tracking objects, monitoring health and observing a region/territory for different environmental parameters. Coverage problem in sensor network ensures quality of monitoring a given region.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-16 Dinesh Dash , Anurag Dasgupta

The problem of computing a connected network with minimum interference is a fundamental problem in wireless sensor networks. Several models of interference have been studied in the literature. The most common model is the receiver-centric,…

Computational Geometry · Computer Science 2020-04-21 A. Karim Abu-Affash , Paz Carmi , Matthew J. Katz

We study the problem of guarding the boundary of a simple polygon with a minimum number of guards such that each guard covers a contiguous portion of the boundary. First, we present a simple greedy algorithm for this problem that returns a…

Computational Geometry · Computer Science 2025-05-09 Ahmad Biniaz , Anil Maheshwari , Joseph S. B. Mitchell , Saeed Odak , Valentin Polishchuk , Thomas Shermer

The coverage problem in wireless sensor networks deals with the problem of covering a region or parts of it with sensors. In this paper, we address the problem of covering a set of line segments in sensor networks. A line segment ` is said…

Computational Geometry · Computer Science 2017-11-16 Dinesh Dash , Arijit Bishnu , Arobinda Gupta , Subhas C. Nandy

Coverage problem in wireless sensor networks measures how well a region or parts of it is sensed by the deployed sensors. Definition of coverage metric depends on its applications for which sensors are deployed. In this paper, we introduce…

Computational Geometry · Computer Science 2020-01-16 Dinesh Dash
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