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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

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

Imagine an island modeled as a simple polygon $\P$ with $n$ vertices whose coastline we wish to monitor. We consider the problem of building the minimum number of refueling stations along the boundary of $\P$ in such a way that a drone can…

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

Given a line segment $I=[0,L]$, the so-called barrier, and a set of $n$ sensors with varying ranges positioned on the line containing $I$, the barrier coverage problem is to move the sensors so that they cover $I$, while minimising the…

Data Structures and Algorithms · Computer Science 2017-10-02 Serge Gaspers , Joachim Gudmundsson , Julián Mestre , Stefan Rümmele

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

Optimization problems with drones are widely studied in a variety of civilian tasks, mainly due to their ability to traverse rough terrains and to carry cameras and other sensors for surveillance tasks. The limited battery life of these…

Computational Geometry · Computer Science 2026-05-18 José-Miguel Díaz-Báñez , José-Manuel Higes , Alina Kasiuk , Inmaculada Ventura

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

Fast shipping and efficient routing are key problems of modern logistics. Building on previous studies that address package delivery from a source node to a destination within a graph using multiple agents (such as vehicles, drones, and…

Computational Complexity · Computer Science 2025-02-25 Simon Bartlmae , Andreas Hene , Kelin Luo

We consider the problem of controlling a large fleet of drones to deliver packages simultaneously across broad urban areas. To conserve energy, drones hop between public transit vehicles (e.g., buses and trams). We design a comprehensive…

Robotics · Computer Science 2021-01-06 Shushman Choudhury , Kiril Solovey , Mykel J. Kochenderfer , Marco Pavone

The focus of this paper is to increase our understanding of the Longest Processing Time First (LPT) heuristic. LPT is a classical heuristic for the fundamental problem of uniform machine scheduling. For different machine speeds, LPT was…

Data Structures and Algorithms · Computer Science 2024-10-02 L. Sunil Chandran , Rishikesh Gajjala , Shravan Mehra , Saladi Rahul

Consider a region that requires to be protected from unauthorized penetrations. The border of the region, modeled as a unit line segment, consists of high priority segments that require the highest level of protection separated by low…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-04 Oscar Morales-Ponce

Drones have recently emerged as a faster, safer, and cost-efficient way for last-mile deliveries of parcels, particularly for urgent medical deliveries highlighted during the pandemic. This paper addresses a new challenge of multi-parcel…

Robotics · Computer Science 2025-09-22 Chuhao Qin , Arun Narayanan , Evangelos Pournaras

Recent advancements in unmanned aerial vehicles, also known as drones, have motivated logistics to use drones for multiple operations. Collaboration between drones and trucks in a last-mile delivery system has numerous benefits and reduces…

Data Structures and Algorithms · Computer Science 2022-08-31 Saswata Jana , Partha Sarathi Mandal

Let $\mathscr O$ be a set of $n$ disjoint obstacles in $\mathbb{R}^2$, $\mathscr M$ be a moving object. Let $s$ and $l$ denote the starting point and maximum path length of the moving object $\mathscr M$, respectively. Given a point $p$ in…

Data Structures and Algorithms · Computer Science 2018-07-04 Jack Wang

Collaboration between drones and trucks in a last-mile delivery system offers numerous benefits and reduces many challenges of the traditional delivery system. Here, we introduce Drone-Delivery Packing Problem, where a set of parcels,…

Data Structures and Algorithms · Computer Science 2026-04-28 Saswata Jana , Partha Sarathi Mandal

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

For the problem of delivering a package from a source node to a destination node in a graph using a set of drones, we study the setting where the movements of each drone are restricted to a certain subgraph of the given graph. We consider…

Data Structures and Algorithms · Computer Science 2022-09-27 Thomas Erlebach , Kelin Luo , Frits C. R. Spieksma

We study the problem of allocating many mobile robots for the execution of a pre-defined sweep schedule in a known two-dimensional environment, with applications toward search and rescue, coverage, surveillance, monitoring, pursuit-evasion,…

Robotics · Computer Science 2023-02-13 Si Wei Feng , Teng Guo , Jingjin Yu

Delivering a parcel from the distribution hub to the customer's doorstep is called the \textit{last-mile delivery} step in delivery logistics. In this paper, we study a hybrid {\it truck-drones} model for the last-mile delivery step, in…

Data Structures and Algorithms · Computer Science 2024-02-27 Saswata Jana , Giuseppe F. Italiano , Manas Jyoti Kashyop , Athanasios L. Konstantinidis , Evangelos Kosinas , Partha Sarathi Mandal
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