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A problem that arises in drawings of transportation networks is to minimize the number of crossings between different transportation lines. While this can be done efficiently under specific constraints, not all solutions are visually…

数据结构与算法 · 计算机科学 2013-06-25 Martin Fink , Sergey Pupyrev

This paper considers the problem of finding a quickest path between two points in the Euclidean plane in the presence of a transportation network. A transportation network consists of a planar network where each road (edge) has an…

计算几何 · 计算机科学 2015-03-17 Radwa El Shawi , Joachim Gudmundsson , Christos Levcopoulos

In designing a network to link n cities in a square of area n, one might be guided by the following two desiderata. First, the total network length should not be much greater than the length of the shortest network connecting all cities.…

概率论 · 数学 2007-11-26 David J. Aldous , Wilfrid S. Kendall

The Tourist Trip Design Problem aims to prescribe a sightseeing plan that maximizes tourist satisfaction while taking into account a multitude of parameters and constraints, such as the distances among points of interest, the expected…

最优化与控制 · 数学 2023-10-03 Tommaso Adamo , Lucio Colizzi , Giovanni Dimauro , Gianpaolo Ghiani , Emanuela Guerriero

Logistics and transportation networks require a large amount of resources to realize necessary connections between locations and minimizing these resources is a vital aspect of planning research. Since such networks have dynamic connections…

社会与信息网络 · 计算机科学 2024-09-02 Argyrios Deligkas , Michelle Döring , Eduard Eiben , Tiger-Lily Goldsmith , George Skretas , Georg Tennigkeit

Motion sensors (e.g., accelerometers) on smartphones have been demonstrated to be a powerful side channel for attackers to spy on users' inputs on touchscreen. In this paper, we reveal another motion accelerometer-based attack which is…

密码学与安全 · 计算机科学 2015-05-25 Jingyu Hua , Zhenyu Shen , Sheng Zhong

Given a n points in two dimensional space, a Manhattan Network G is a network that connects all n points with either horizontal or vertical edges, with the property that for any two point in G should be connected by a Manhattan path and…

计算几何 · 计算机科学 2024-03-19 Md. Musfiqur Rahman Sanim , Safrunnesa Saira , Fatin Faiaz Ahsan , Rajon Bardhan , S. M. Ferdous

Traveling to different destinations is a big part of our lives. We visit a variety of locations both during our daily lives and when we're on vacation. How can we find the best way to navigate from one place to another? Perhaps we can test…

历史与综述 · 数学 2021-05-10 Teresa Rexin , Mason A. Porter

The enumeration of shortest paths in cubic grid is presented herein, which could have importance in image processing and also in the network sciences. The cubic grid considers three neighborhoods - namely, 6-, 18- and 26-neighborhood…

离散数学 · 计算机科学 2024-11-15 Mousumi Dutt , Arindam Biswas , Benedek Nagy

Metro or transit maps, are schematic representations of transit networks to facilitate effective route-finding. These maps are often advertised on a web page or pamphlet highlighting routes from source to destination stations. To visually…

图形学 · 计算机科学 2022-08-31 Tobias Batik , Soeren Terziadis , Yu-Shuen Wang , Martin Nöllenburg , Hsiang-Yun Wu

In the traveling salesman problem, one must find the length of the shortest closed tour visiting given ``cities''. We study the stochastic version of the problem, taking the locations of cities and the distances separating them to be random…

无序系统与神经网络 · 物理学 2007-05-23 A. G. Percus

A metro-line crossing minimization problem is to draw multiple lines on an underlying graph that models stations and rail tracks so that the number of crossings of lines becomes minimum. It has several variations by adding restrictions on…

数据结构与算法 · 计算机科学 2013-06-18 Yoshio Okamoto , Yuichi Tatsu , Yushi Uno

Random walks on graphs can be slow. To speed them up, imagine that at each step instead of choosing the neighbor at random, there is a small probability $\varepsilon>0$ that we can choose it. We show that in this case, at least for graphs…

概率论 · 数学 2026-05-19 Boris Bukh , Quentin Dubroff

We study the problem of computing a shortest tour that visits a sequence of $k$ polygons $P_1,\dots, P_k$ with a total number of $n$ vertices. A tour is an oriented curve such that there exist points $p_i\in P_i$ for all $i$ where $p_i$…

计算几何 · 计算机科学 2026-05-14 Katrin Casel , Sándor Kisfaludi-Bak , Linda Kleist , Jeroen S. K. Lamme , Eunjin Oh , Yanheng Wang

Motivated by the shape of transportation networks such as subways, we consider a distribution of points in the plane and ask for the network $G$ of given length $L$ that is optimal in a certain sense. In the general model, the optimality…

物理与社会 · 物理学 2019-05-22 David Aldous , Marc Barthelemy

The optimal route of sightseeing orders for visiting every Macao World Heritage Site at exactly once was calculated with Simulated Annealing and Metropolis Algorithm(SAMA) after considering real required time or traveling distance between…

We study the problem of computing all Pareto-optimal journeys in a public transit network regarding the two criteria of arrival time and number of transfers taken. We take a novel approach, focusing on trips and transfers between them,…

数据结构与算法 · 计算机科学 2016-07-06 Sascha Witt

We introduce a variant of the watchman route problem, which we call the quickest pair-visibility problem. Given two persons standing at points $s$ and $t$ in a simple polygon $P$ with no holes, we want to minimize the distance they travel…

计算几何 · 计算机科学 2019-06-05 Hee-Kap Ahn , Eunjin Oh , Lena Schlipf , Fabian Stehn , Darren Strash

Metro networks serve as good examples of traffic systems for understanding the relations between geometric structures and transport properties.We study and compare 28 world major metro networks in terms of the Wasserstein distance, the key…

物理与社会 · 物理学 2014-04-15 Wei Li , Jiao Gu , Shiping Liu , Yueying Zhu , Shengfeng Deng , Longfeng Zhao , Jihui Han , Xu Cai

Because of the complexity of urban transportation networks and the temporal changes in traffic conditions, it is difficult to assess real-time traffic situations. However, the development of information terminals has made it easier to…

社会与信息网络 · 计算机科学 2021-06-02 Tatsuro Mukai , Yuichi Ikeda
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