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In the Distance-constrained Vehicle Routing Problem (DVRP), we are given a graph with integer edge weights, a depot, a set of $n$ terminals, and a distance constraint $D$. The goal is to find a minimum number of tours starting and ending at…

数据结构与算法 · 计算机科学 2022-10-11 Marc Dufay , Claire Mathieu , Hang Zhou

We present an algorithm for optimal guidance of users in road networks. It is a "stochastic-on-time-arrival (SOTA)"-like algorithm which calculates optimal guidance strategies with reliable paths, for road network origin-destination pairs.…

最优化与控制 · 数学 2016-06-30 Farida Manseur , Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque

Tensor networks represent the state-of-the-art in computational methods across many disciplines, including the classical simulation of quantum many-body systems and quantum circuits. Several applications of current interest give rise to…

量子物理 · 物理学 2021-03-17 Johnnie Gray , Stefanos Kourtis

The urban environment is amongst the most difficult domains for autonomous vehicles. The vehicle must be able to plan a safe route on challenging road layouts, in the presence of various dynamic traffic participants such as vehicles,…

最优化与控制 · 数学 2022-10-06 Robin Smit , Chris van der Ploeg , Arjan Teerhuis , Emilia Silvas

We consider optimal route planning when the objective function is a general nonlinear and non-monotonic function. Such an objective models user behavior more accurately, for example, when a user is risk-averse, or the utility function needs…

数据结构与算法 · 计算机科学 2015-11-24 Ger Yang , Evdokia Nikolova

During the last decade, sampling-based path planning algorithms, such as Probabilistic RoadMaps (PRM) and Rapidly-exploring Random Trees (RRT), have been shown to work well in practice and possess theoretical guarantees such as…

机器人学 · 计算机科学 2011-05-09 Sertac Karaman , Emilio Frazzoli

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…

数据结构与算法 · 计算机科学 2018-07-04 Jack Wang

We survey recent advances in algorithms for route planning in transportation networks. For road networks, we show that one can compute driving directions in milliseconds or less even at continental scale. A variety of techniques provide…

In this work, we propose a novel machine learning approach to compute the optimal transport map between two continuous distributions from their unpaired samples, based on the DeepParticle methods. The proposed method leads to a min-min…

机器学习 · 统计学 2025-07-01 Yingyuan Li , Aokun Wang , Zhongjian Wang

In this paper we consider several problems concerning packet routing in distributed systems. Each problem is formulated using terms from Graph Theory and for each problem we present efficient, novel, algorithmic techniques for computing…

数据结构与算法 · 计算机科学 2009-06-19 Mugurel Ionut Andreica , Nicolae Tapus

Rapidly Exploring Random Tree (RRT) algorithms, notably used for nonholonomic vehicle navigation in complex environments, are often not thoroughly evaluated for their specific challenges. This paper presents a first such comparison study of…

机器人学 · 计算机科学 2025-01-14 Trym Tengesdal , Tom Arne Pedersen , Tor Arne Johansen

Motivated by the increasing availability of vehicle trajectory data, we propose learn-to-route, a comprehensive trajectory-based routing solution. Specifically, we first construct a graph-like structure from trajectories as the routing…

机器学习 · 计算机科学 2018-02-23 Chenjuan Guo , Bin Yang , Jilin Hu , Christian S. Jensen

Deep learning algorithms are increasingly employed at the edge. However, edge devices are resource constrained and thus require efficient deployment of deep neural networks. Pruning methods are a key tool for edge deployment as they can…

计算机视觉与模式识别 · 计算机科学 2023-08-01 Yunqiang Li , Jan C. van Gemert , Torsten Hoefler , Bert Moons , Evangelos Eleftheriou , Bram-Ernst Verhoef

Sampling-based motion planners such as Rapidly-exploring Random Tree* (RRT*) and its informed variant IRRT* are widely used for optimal path planning in complex environments. However, these methods often suffer from slow convergence and…

机器人学 · 计算机科学 2025-05-29 Hyejeong Ryu

Sparse decision tree learning provides accurate and interpretable predictive models that are ideal for high-stakes applications by finding the single most accurate tree within a (soft) size limit. Rather than relying on a single "best"…

机器学习 · 计算机科学 2025-11-06 Elif Arslan , Jacobus G. M. van der Linden , Serge Hoogendoorn , Marco Rinaldi , Emir Demirović

Range reporting is a classical problem in computational geometry. A (rectangular) reporting data structure stores a point set $P$, such that, given a (rectangular) query region $\Delta$, it returns all points in $P \cap \Delta$. A variety…

计算几何 · 计算机科学 2025-12-05 Sarita de Berg , Emil Toftegaard Gæde , Ivor van der Hoog , Henrik Reinstädtler , Eva Rotenberg

Routing algorithms for public transport, particularly the widely used RAPTOR and its variants, often face performance bottlenecks during the transfer relaxation phase, especially on dense transfer graphs, when supporting unlimited…

数据结构与算法 · 计算机科学 2026-05-27 Andrii Rohovyi , Abdallah Abuaisha , Toby Walsh

Redistribution of the intelligence and management in the software defined networks (SDNs) is a potential approach to address the bottlenecks of scalability and integrity of these networks. We propose to revisit the routing concept based on…

网络与互联网体系结构 · 计算机科学 2015-04-30 Reza Farrahi Moghaddam , Yves Lemieux , Mohamed Cheriet

In this letter, we propose a new routing strategy to improve the transportation efficiency on complex networks. Instead of using the routing strategy for shortest path, we give a generalized routing algorithm to find the so-called {\it…

无序系统与神经网络 · 物理学 2007-05-23 Gang Yan , Tao Zhou , Bo Hu , Zhong-Qian Fu , Bing-Hong Wang

Rapidly-exploring Random Tree (RRT) algorithms have been applied successfully to challenging robot motion planning and under-actuated nonlinear control problems. However a fundamental limitation of the RRT approach is the slow convergence…

机器人学 · 计算机科学 2024-11-04 Mathew Mithra Noel , Akshay Chawla