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All traditional methods of computing shortest paths depend upon edge-relaxation where the cost of reaching a vertex from a source vertex is possibly decreased if that edge is used. We introduce a method which maintains lower bounds as well…

分布式、并行与集群计算 · 计算机科学 2018-12-31 Vijay K. Garg

We deal with the problem of planning collision-free trajectories for robots operating in a shared space. Given the start and destination position for each of the robots, the task is to find trajectories for all robots that reach their…

机器人学 · 计算机科学 2016-08-10 Michal Čáp , Peter Novák , Alexander Kleiner

This paper introduces a graph-based algorithm for solving single-item, single-location inventory lot-sizing problems under non-stationary stochastic demand using the $(R_t, S_t)$ policy and a penalty cost scheme. The proposed method relaxes…

最优化与控制 · 数学 2024-11-01 Xiyuan Ma , Roberto Rossi , Thomas Archibald

The Team Orienteering Problem (TOP) generalizes many real-world multi-robot scheduling and routing tasks that occur in autonomous mobility, aerial logistics, and surveillance applications. While many flavors of the TOP exist for planning in…

机器人学 · 计算机科学 2025-10-29 Malintha Fernando , Petter Ögren , Silun Zhang

The subject of this work is the patrolling of an environment with the aid of a team of autonomous agents. We consider both the design of open-loop trajectories with optimal properties, and of distributed control laws converging to optimal…

组合数学 · 数学 2015-03-17 Fabio Pasqualetti , Antonio Franchi , Francesco Bullo

Dispersion of mobile robots over the nodes of an anonymous graph is an important problem and turns out to be a crucial subroutine for designing efficient algorithms for many fundamental graph problems via mobile robots. In this problem,…

分布式、并行与集群计算 · 计算机科学 2024-10-28 Rik Banerjee , Manish Kumar , Anisur Rahaman Molla

We present a randomized $\tilde{O}(n^{3.5})$-time algorithm for computing \emph{optimal energetic paths} for an electric car between all pairs of vertices in an $n$-vertex directed graph with positive and negative \emph{costs}. The optimal…

数据结构与算法 · 计算机科学 2025-05-05 Dani Dorfman , Haim Kaplan , Robert E. Tarjan , Mikkel Thorup , Uri Zwick

We study the Universal Solvability of Robot Motion Planning on Graphs (USolR) problem: given an undirected graph $G = (V, E)$ and $p$ robots, determine whether any arbitrary configuration of the robots can be transformed into any other…

计算复杂性 · 计算机科学 2026-02-10 Anubhav Dhar , Pranav Nyati , Tanishq Prasad , Ashlesha Hota , Sudeshna Kolay

In this paper, a novel approach is introduced which utilizes a Rapidly-exploring Random Graph to improve sampling-based autonomous exploration of unknown environments with unmanned ground vehicles compared to the current state of the art.…

机器人学 · 计算机科学 2021-09-15 Marco Steinbrink , Philipp Koch , Bernhard Jung , Stefan May

We consider an optimization problem posed by an actual newspaper company, which consists of computing a minimum length route for a delivery truck, such that the driver only stops at street crossings, each time delivering copies to all…

数据结构与算法 · 计算机科学 2019-01-29 Diego Delle Donne , Guido Tagliavini

We consider the problem of routing on a network in the presence of line segment constraints (i.e., obstacles that edges in our network are not allowed to cross). Let $P$ be a set of $n$ points in the plane and let $S$ be a set of…

计算几何 · 计算机科学 2019-01-03 Prosenjit Bose , Matias Korman , André van Renssen , Sander Verdonschot

Operators of Electric Autonomous Mobility-on-Demand (E-AMoD) fleets need to make several real-time decisions such as matching available vehicles to ride requests, rebalancing idle vehicles to areas of high demand, and charging vehicles to…

系统与控制 · 电气工程与系统科学 2024-08-21 Aaryan Singhal , Daniele Gammelli , Justin Luke , Karthik Gopalakrishnan , Dominik Helmreich , Marco Pavone

This paper considers energy-aware route planning for a battery-constrained robot operating in environments with multiple recharging depots. The robot has a battery discharge time $D$, and it should visit the recharging depots at most every…

机器人学 · 计算机科学 2023-10-03 Ahmad Bilal Asghar , Pratap Tokekar

This paper discusses a graph based route solving algorithm to find the optimal path for an electric vehicle picking the best charging locations among thousands to minimize the total cumulative driving distance between the end points of the…

分布式、并行与集群计算 · 计算机科学 2022-06-14 B. Kaan Karamete , Eli Glaser

The Constraint Shortest Path (CSP) problem is as follows. An $n$-vertex graph is given, each edge/arc assigned two weights. Let us call them "cost" and "length" for definiteness. Finding a min-cost upper-bounded length path between a given…

数据结构与算法 · 计算机科学 2022-04-12 Adil Erzin , Roman Plotnikov , Ilya Ladygin

An optimization problem is at the heart of many robotics estimating, planning, and optimum control problems. Several attempts have been made at model-based multi-robot localization, and few have formulated the multi-robot collaborative…

机器人学 · 计算机科学 2022-10-05 Ehsan Latif , Ramviyas Parasuraman

The Multi-objective Shortest Path (MOSP) problem is a classic network optimization problem that aims to find all Pareto-optimal paths between two points in a graph with multiple edge costs. Recent studies on multi-objective search with A*…

人工智能 · 计算机科学 2025-03-14 Saman Ahmadi , Nathan R. Sturtevant , Andrea Raith , Daniel Harabor , Mahdi Jalili

In this paper we consider a robot patrolling problem in which events arrive randomly over time at the vertices of a graph. When an event arrives it remains active for a random amount of time. If that time active exceeds a certain threshold,…

机器人学 · 计算机科学 2014-09-17 Ahmad Bilal Asghar , Stephen L. Smith

In this paper, we revisit the classic approximate All-Pairs Shortest Paths (APSP) problem in undirected graphs. For unweighted graphs, we provide an algorithm for $2$-approximate APSP in $\tilde O(n^{2.5-r}+n^{\omega(r)})$ time, for any…

数据结构与算法 · 计算机科学 2023-10-31 Michal Dory , Sebastian Forster , Yael Kirkpatrick , Yasamin Nazari , Virginia Vassilevska Williams , Tijn de Vos

A ride sharing problem is considered where we are given a graph, whose edges are equipped with a travel cost, plus a set of objects, each associated with a transportation request given by a pair of origin and destination nodes. A vehicle…

离散数学 · 计算机科学 2016-06-10 Angelo Fanelli , Gianluigi Greco