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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…

When proving theorems from large sets of logical assertions, it can be helpful to restrict the search for a proof to those assertions that are relevant, that is, closely related to the theorem in some sense. For example, in the Watson…

Logic in Computer Science · Computer Science 2019-05-23 David A. Plaisted

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…

Computational Geometry · Computer Science 2019-01-03 Prosenjit Bose , Matias Korman , André van Renssen , Sander Verdonschot

Carrier-grade networks comprise several layers where different protocols coexist. Nowadays, most of these networks have different control planes to manage routing on different layers, leading to a suboptimal use of the network resources and…

Networking and Internet Architecture · Computer Science 2016-11-17 Mohamed Lamine Lamali , Nasreddine Fergani , Johanne Cohen , Hélia Pouyllau

Platooning of vehicles is a promising approach for reducing fuel consumption, increasing vehicle safety, and using road space more efficiently. We consider the important but difficult problem of assigning optimal routes and departure…

Optimization and Control · Mathematics 2021-08-19 Fengqiao Luo , Jeffrey Larson

To better understand the structure and function of complex systems, researchers often represent direct interactions between components in complex systems with networks, assuming that indirect influence between distant components can be…

Physics and Society · Physics 2018-06-18 Renaud Lambiotte , Martin Rosvall , Ingo Scholtes

We present a novel heuristic algorithm for routing optimization on complex networks. Previously proposed routing optimization algorithms aim at avoiding or reducing link overload. Our algorithm balances traffic on a network by minimizing…

Statistical Mechanics · Physics 2007-07-12 Bogdan Danila , Yong Yu , John A. Marsh , Kevin E. Bassler

Route choice is often modelled as a two-step procedure in which travellers choose their routes from small sets of promising candidates. Many methods developed to identify such choice sets rely on assumptions about the mechanisms behind the…

Systems and Control · Electrical Eng. & Systems 2021-05-10 Samuel M. Fischer

The availability of massive vehicle trajectory data enables the modeling of road-network constrained movement as travel-cost distributions rather than just single-valued costs, thereby capturing the inherent uncertainty of movement and…

Data Structures and Algorithms · Computer Science 2024-07-10 Chenjuan Guo , Ronghui Xu , Bin Yang , Ye Yuan , Tung Kieu , Yan Zhao , Christian S. Jensen

Users of routing services like Apple Maps, Google Maps, and Waze frequently wonder why a given route is proposed. This question particularly arises when dynamic conditions like traffic and road closures cause unusual routes to be proposed.…

Data Structures and Algorithms · Computer Science 2025-06-09 Aaron Schild , Sreenivas Gollapudi , Anupam Gupta , Kostas Kollias , Ali Sinop

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

Computing cost optimal paths in network data is a very important task in many application areas like transportation networks, computer networks or social graphs. In many cases, the cost of an edge can be described by various cost criteria.…

Databases · Computer Science 2014-10-02 Michael Shekelyan , Gregor Jossé , Matthias Schubert

We study a problem of fundamental importance to ICNs, namely, minimizing routing costs by jointly optimizing caching and routing decisions over an arbitrary network topology. We consider both source routing and hop-by-hop routing settings.…

Networking and Internet Architecture · Computer Science 2017-08-22 Stratis Ioannidis , Edmund Yeh

We present a new mixed integer formulation for the discrete informative path planning problem in random fields. The objective is to compute a budget constrained path while collecting measurements whose linear estimate results in minimum…

Systems and Control · Electrical Eng. & Systems 2022-04-21 Shamak Dutta , Nils Wilde , Stephen L. Smith

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

Path planning is a fundamental and extensively explored problem in robotic control. We present a novel economic perspective on path planning. Specifically, we investigate strategic interactions among path planning agents using a game…

Multiagent Systems · Computer Science 2019-10-31 Yi Li , Yevgeniy Vorobeychik

Autonomous vehicles have the potential to increase the capacity of roads via platooning, even when human drivers and autonomous vehicles share roads. However, when users of a road network choose their routes selfishly, the resulting traffic…

Optimization and Control · Mathematics 2020-06-05 Erdem Bıyık , Daniel A. Lazar , Dorsa Sadigh , Ramtin Pedarsani

Global Route-Planning Algorithms (GRPA) are required to compute paths between several points located on Earth's surface. A geodesic algorithm is employed as an auxiliary tool, increasing the precision of distance calculations. This work…

Data Structures and Algorithms · Computer Science 2016-10-17 William C. da Rosa , Iury V. de Bessa , Lucas C. Cordeiro

We compare several approaches to learn an Optimal Map, represented as a neural network, between probability distributions. The approaches fall into two categories: ``Heuristics'' and approaches with a more sound mathematical justification,…

Machine Learning · Computer Science 2019-08-06 Andrea Schioppa

This thesis introduces stochastic generalized routing problem model and proposes exact and heuristic algorithms to solve it efficiently, in a wide range of problem sizes. At first, the classic routing problem with its common variations in…

Optimization and Control · Mathematics 2019-03-08 Faraz Dadgostari