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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…

History and Overview · Mathematics 2021-05-10 Teresa Rexin , Mason A. Porter

We study the earliest arrival problem in road networks with static time-dependent functions as arc weights. We propose and evaluate the following simple algorithm: (1) average the travel time in k time windows, (2) compute a shortest…

Data Structures and Algorithms · Computer Science 2017-07-03 Ben Strasser

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…

Computational Geometry · Computer Science 2015-03-17 Radwa El Shawi , Joachim Gudmundsson , Christos Levcopoulos

Querying the shortest path between two vertexes is a fundamental operation in a variety of applications, which has been extensively studied over static road networks. However, in reality, the travel costs of road segments evolve over time,…

Databases · Computer Science 2023-03-08 Zengyang Gong , Yuxiang Zeng , Lei Chen

The problem of providing meaningful routing directions over road networks is of great importance. In many real-life cases, the fastest route may not be the ideal choice for providing directions in written, spoken text, or for an unfamiliar…

Data Structures and Algorithms · Computer Science 2013-09-18 Dimitris Sacharidis , Panagiotis Bouros

In this paper we present an algorithm for optimal processing of time-dependent sequenced route queries in road networks, i.e., given a road network where the travel time over an edge is time-dependent and a given ordered list of categories…

In route selection problems, the driver's personal preferences will determine whether she prefers a route with a travel time that has a relatively low mean and high variance over one that has relatively high mean and low variance. In…

Optimization and Control · Mathematics 2022-10-05 Rens Kamphuis , Michel Mandjes , Paulo Serra

The advancement of mobile technologies and the proliferation of map-based applications have enabled a user to access a wide variety of services that range from information queries to navigation systems. Due to the popularity of map-based…

Databases · Computer Science 2020-04-24 Hossain Mahmud , Ashfaq Mahmood Amin , Mohammed Eunus Ali , Tanzima Hashem

Computing shortest paths is one of the most researched topics in algorithm engineering. Currently available algorithms compute shortest paths in mere fractions of a second on continental sized road networks. In the presence of…

Data Structures and Algorithms · Computer Science 2014-08-01 Moritz Kobitzsch , Samitha Samaranayake , Dennis Schieferdecker

This essay provides a comprehensive analysis of the optimization and performance evaluation of various routing algorithms within the context of computer networks. Routing algorithms are critical for determining the most efficient path for…

Networking and Internet Architecture · Computer Science 2024-02-27 Xunchi Ma

We study the problem of quickly computing point-to-point shortest paths in massive road networks with traffic predictions. Incorporating traffic predictions into routing allows, for example, to avoid commuter traffic congestions. Existing…

Data Structures and Algorithms · Computer Science 2021-03-29 Ben Strasser , Dorothea Wagner , Tim Zeitz

Efficiently computing fast paths in large scale dynamic road networks (where dynamic traffic information is known over a part of the network) is a practical problem faced by several traffic information service providers who wish to offer a…

Networking and Internet Architecture · Computer Science 2007-06-27 Giacomo Nannicini , Philippe Baptiste , Gilles Barbier , Daniel Krob , Leo Liberti

Finding the shortest paths in road network is an important query in our life nowadays, and various index structures are constructed to speed up the query answering. However, these indexes can hardly work in real-life scenario because the…

Databases · Computer Science 2019-10-29 Mengxuan Zhang , Lei Li , Wen Hua , Xiaofang Zhou

Computing the shortest path between two given locations in a road network is an important problem that finds applications in various map services and commercial navigation products. The state-of-the-art solutions for the problem can be…

Databases · Computer Science 2012-02-01 Lingkun Wu , Xiaokui Xiao , Dingxiong Deng , Gao Cong , Andy Diwen Zhu , Shuigeng Zhou

The increase in the world's population and rising standards of living is leading to an ever-increasing number of vehicles on the roads, and with it ever-increasing difficulties in traffic management. This traffic management in transport…

Data Structures and Algorithms · Computer Science 2018-05-24 Stéphane Chrétien , Christophe Guyeux

Vehicle routing algorithms usually reformulate the road network into a complete graph in which each arc represents the shortest path between two locations. Studies on time-dependent routing followed this model and therefore defined the…

Data Structures and Algorithms · Computer Science 2020-05-01 Thibaut Vidal , Rafael Martinelli , Tuan Anh Pham , Minh Hoàng Hà

This paper reviews the overview of the dynamic shortest path routing problem and the various neural networks to solve it. Different shortest path optimization problems can be solved by using various neural networks algorithms. The routing…

Neural and Evolutionary Computing · Computer Science 2010-06-01 R. Nallusamy , K. Duraiswamy

In the age of real-time online traffic information and GPS-enabled devices, fastest-path computations between two points in a road network modeled as a directed graph, where each directed edge is weighted by a "travel time" value, are…

Data Structures and Algorithms · Computer Science 2018-10-04 Renjie Chen , Craig Gotsman

Given a public transportation network, which and how many passenger routes can potentially be shortest paths, when all possible timetables are taken into account? This question leads to shortest path problems on graphs with interval costs…

Optimization and Control · Mathematics 2024-12-23 Berenike Masing , Niels Lindner , Enrico Bortoletto

We study efficient and exact shortest path algorithms for routing on road networks with realistic traffic data. For navigation applications, both current (i.e., live) traffic events and predictions of future traffic flows play an important…

Data Structures and Algorithms · Computer Science 2022-09-21 Nils Werner , Tim Zeitz
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