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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 consider the motion-planning 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…

Robotics · Computer Science 2017-03-10 Oren Salzman , Brian Hou , Siddhartha Srinivasa

A route planning query has many real-world applications and has been studied extensively in outdoor spaces such as road networks or Euclidean space. Despite its many applications in indoor venues (e.g., shopping centres, libraries,…

Artificial Intelligence · Computer Science 2018-09-21 Chaluka Salgado , Muhammad Aamir Cheema , David Taniar

With the fast development of driving automation technologies, user psychological acceptance of driving automation has become one of the major obstacles to the adoption of the driving automation technology. The most basic function of a…

Robotics · Computer Science 2023-07-04 Weishun Deng , Fan Yu , Zhe Wang , Dengbo He

In this paper, we propose a new method for path planning to a point for robot in environment with obstacles. The resulting algorithm is implemented as a simple variation of Dijkstra's algorithm. By adding a constraint to the shortest-path,…

Robotics · Computer Science 2015-10-16 Jalil Rasekhi

The current paper deals with the subject of shortest path routing in transportation networks (in terms of travelling time), where the speed in several of the network's roads is a function of the time interval. The main contribution of the…

Data Structures and Algorithms · Computer Science 2016-01-08 Costas K. Constantinou , Georgios Ellinas , Christos Panayiotou , Marios Polycarpou

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

The costs incurred in a mobile robot (MR) change due to change in physical and environmental factors. Usually, there are two approaches to consider these costs, either explicitly modelling these different factors to calculate the cost or…

Systems and Control · Computer Science 2018-08-03 Pragna Das , Lluıs Ribas-Xirgo

Standard algorithms for finding the shortest path in a graph require that the cost of a path be additive in edge costs, and typically assume that costs are deterministic. We consider the problem of uncertain edge costs, with potential…

Artificial Intelligence · Computer Science 2013-02-21 Michael P. Wellman , Matthew Ford , Kenneth Larson

We study the use of machine learning techniques to solve a fundamental shortest path problem, known as the single-source many-targets shortest path problem (SSMTSP). Given a directed graph with non-negative edge weights, our goal is to…

Data Structures and Algorithms · Computer Science 2023-03-07 Willem Feijen , Guido Schäfer

In several important routing contexts it is required to identify a set of routes, each of which optimizes a different criterion. For instance, in the context of vehicle routing, one route would minimize the total distance traveled, while…

Networking and Internet Architecture · Computer Science 2020-08-25 Ido Zoref , Ariel Orda

While the shortest path problem has myriad applications, the computational efficiency of suitable algorithms depends intimately on the underlying problem domain. In this paper, we focus on domains where evaluating the edge weight function…

Data Structures and Algorithms · Computer Science 2016-06-15 Christopher M. Dellin , Siddhartha S. Srinivasa

The Dijkstra algorithm is a classic path planning method, which operates in a discrete graph space to determine the shortest path from a specified source point to a target node or all other nodes based on non-negative edge weights. Numerous…

Robotics · Computer Science 2025-06-30 Yu Zhang , Xiao-Song Yang

Directions and paths, as commonly provided by navigation systems, are usually derived considering absolute metrics, e.g., finding the shortest path within an underlying road network. With the aid of crowdsourced geospatial data we aim at…

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

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

Path finding algorithm addresses problem of finding shortest path from source to destination avoiding obstacles. There exist various search algorithms namely A*, Dijkstra's and ant colony optimization. Unlike most path finding algorithms…

Artificial Intelligence · Computer Science 2015-04-10 Ahlam Ansari , Mohd Amin Sayyed , Khatija Ratlamwala , Parvin Shaikh

Understanding the criteria that bicyclists apply when they choose their routes is crucial for planning new bicycle paths or recommending routes to bicyclists. This is becoming more and more important as city councils are becoming…

Computer Vision and Pattern Recognition · Computer Science 2018-06-26 J. Oehrlein , A. Förster , D. Schunck , Y. Dehbi , R. Roscher , J. -H. Haunert

This paper studies online shortest path routing over multi-hop networks. Link costs or delays are time-varying and modeled by independent and identically distributed random processes, whose parameters are initially unknown. The parameters,…

Networking and Internet Architecture · Computer Science 2017-01-19 M. Sadegh Talebi , Zhenhua Zou , Richard Combes , Alexandre Proutiere , Mikael Johansson

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
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