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We consider the setting of online computation with advice, and study the bin packing problem and a number of scheduling problems. We show that it is possible, for any of these problems, to arbitrarily approach a competitive ratio of $1$…

数据结构与算法 · 计算机科学 2015-08-06 Marc P. Renault , Adi Rosén , Rob van Stee

Given a graph and two fixed vertices $s$ and $t$, the Replacement Path Problem (RP) is to compute for every edge $e$, the distance between $s$ and $t$ when $e$ is removed. There are two natural extensions to RP: (1) Single Source…

数据结构与算法 · 计算机科学 2026-05-05 Jakob Nogler , Virginia Vassilevska Williams

Path planning is a classic problem for autonomous robots. To ensure safe and efficient point-to-point navigation an appropriate algorithm should be chosen keeping the robot's dimensions and its classification in mind. Autonomous robots use…

机器人学 · 计算机科学 2023-05-01 Alka Choudhary

We study the problem of tracking multiple moving targets using a team of mobile robots. Each robot has a set of motion primitives to choose from in order to collectively maximize the number of targets tracked or the total quality of…

机器人学 · 计算机科学 2019-05-31 Yoonchang Sung , Ashish Kumar Budhiraja , Ryan K. Williams , Pratap Tokekar

We devise new algorithms for the single-source shortest paths (SSSP) problem with non-negative edge weights in the CONGEST model of distributed computing. While close-to-optimal solutions, in terms of the number of rounds spent by the…

分布式、并行与集群计算 · 计算机科学 2019-08-01 Sebastian Forster , Danupon Nanongkai

Large-scale spatial data such as air quality, thermal conditions and location signatures play a vital role in a variety of applications. Collecting such data manually can be tedious and labour intensive. With the advancement of robotic…

机器人学 · 计算机科学 2020-02-20 Yongyong Wei , Rong Zheng

This paper introduces an extension to the Orienteering Problem (OP), called Clustered Orienteering Problem with Subgroups (COPS). In this variant, nodes are arranged into subgroups, and the subgroups are organized into clusters. A reward is…

人工智能 · 计算机科学 2023-12-29 Luciano E. Almeida , Douglas G. Macharet

Safe-interval path planning (SIPP) is a powerful algorithm for finding a path in the presence of dynamic obstacles. SIPP returns provably optimal solutions. However, in many practical applications of SIPP such as path planning for robots,…

人工智能 · 计算机科学 2020-06-03 Konstantin Yakovlev , Anton Andreychuk , Roni Stern

Reconfiguring two shortest paths in a graph means modifying one shortest path to the other by changing one vertex at a time so that all the intermediate paths are also shortest paths. This problem has several natural applications, namely:…

数据结构与算法 · 计算机科学 2021-12-15 Kshitij Gajjar , Agastya Vibhuti Jha , Manish Kumar , Abhiruk Lahiri

The dispersion problem on graphs requires $k$ robots placed arbitrarily at the $n$ nodes of an anonymous graph, where $k \leq n$, to coordinate with each other to reach a final configuration in which each robot is at a distinct node of the…

分布式、并行与集群计算 · 计算机科学 2018-06-01 Ajay D. Kshemkalyani , Faizan Ali

The series-parallel (active) redundancy allocation problem with mixed components (RAP) involves setting reliable objectives for components or subsystems to meet the resource consumption constraint, e.g., the total cost. RAP has been an…

离散数学 · 计算机科学 2022-04-12 Wei-Chang Yeh

In off-line streaming, packet level erasure resilient Forward Error Correction (FEC) codes rely on the unrestricted buffering time at the receiver. In real-time streaming, the extremely short playback buffering time makes FEC inefficient…

网络与互联网体系结构 · 计算机科学 2007-07-13 Emin Gabrielyan , Roger D. Hersch

We consider a cooperative vehicle routing problem for surveillance and reconnaissance missions with communication constraints between the vehicles. We propose a framework which involves a ground vehicle and an aerial vehicle; the vehicles…

最优化与控制 · 数学 2016-06-01 Satyanarayana Manyam , David Casbeer , Kaarthik Sundar

In this paper we study the following multi-robot coordination problem: given a graph, where each edge is weighted by the probability of surviving while traversing it, find a set of paths for $K$ robots that maximizes the expected number of…

机器人学 · 计算机科学 2016-12-13 Stefan Jorgensen , Robert H. Chen , Mark B. Milam , Marco Pavone

Autonomous mobile robots deployed in outdoor environments must reason about different types of terrain for both safety (e.g., prefer dirt over mud) and deployer preferences (e.g., prefer dirt path over flower beds). Most existing solutions…

机器人学 · 计算机科学 2021-09-21 Kavan Singh Sikand , Sadegh Rabiee , Adam Uccello , Xuesu Xiao , Garrett Warnell , Joydeep Biswas

This paper presents a two-step algorithm for online trajectory planning in indoor environments with unknown obstacles. In the first step, sampling-based path planning techniques such as the optimal Rapidly exploring Random Tree (RRT*)…

机器人学 · 计算机科学 2023-02-07 Martin Zimmermann , Minh Nhat Vu , Florian Beck , Anh Nguyen , Andreas Kugi

The order picker routing problem involves finding the optimal tour of a warehouse that collects all the required items on a given pick list. Ratliff and Rosenthal introduced a dynamic programming algorithm for solving this problem in…

最优化与控制 · 数学 2024-09-23 George Dunn , Hadi Charkhgard , Ali Eshragh , Elizabeth Stojanovski

We consider a Bar Charts Packing Problem (BCPP), in which it is necessary to pack bar charts (BCs) in a strip of minimum length. The problem is, on the one hand, a generalization of the Bin Packing Problem (BPP), and, on the other hand, a…

数据结构与算法 · 计算机科学 2021-01-05 Adil Erzin , Gregory Melidi , Stepan Nazarenko , Roman Plotnikov

In this paper we introduce a new algorithm for the \emph{$k$-Shortest Simple Paths} (\kspp{k}) problem with an asymptotic running time matching the state of the art from the literature. It is based on a black-box algorithm due to…

数据结构与算法 · 计算机科学 2023-09-20 Pedro Maristany de las Casas , Antonio Sedeño-Noda , Ralf Borndörfer , Max Huneshagen

We consider the problem of planning a collision-free path of a robot in the presence of risk zones. The robot is allowed to travel in these zones but is penalized in a super-linear fashion for consecutive accumulative time spent there. We…

计算几何 · 计算机科学 2017-03-10 Oren Salzman , Siddhartha Srinivasa