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In this paper we consider shortest path problems in a directed graph where the transitions between nodes are subject to uncertainty. We use a minimax formulation, where the objective is to guarantee that a special destination state is…

Data Structures and Algorithms · Computer Science 2016-08-08 Dimitri Bertsekas

The minimum distance of a code is an important concept in information theory. Hence, computing the minimum distance of a code with a minimum computational cost is a crucial process to many problems in this area. In this paper, we present…

Information Theory · Computer Science 2024-05-01 Fernando Hernando , Francisco D. Igual , Gregorio Quintana-Ortí

We present two methods to compress the description of a route in a road network, i.e., of a path in a directed graph. The first method represents a path by a sequence of via edges. The subpaths between the via edges have to be unique…

Data Structures and Algorithms · Computer Science 2010-11-22 Gernot Veit Batz , Robert Geisberger , Dennis Luxen , Peter Sanders

Several factors influence traffic congestion and overall traffic dynamics. Simulation modeling has been utilized to understand the traffic performance parameters during traffic congestions. This paper focuses on driver behavior of route…

Systems and Control · Electrical Eng. & Systems 2019-07-17 Ben Benzaman , Erfan Pakdamanian

Optimal transport aims to learn a mapping of sources to targets by minimizing the cost, which is typically defined as a function of distance. The solution to this problem consists of straight line segments optimally connecting sources to…

Optimization and Control · Mathematics 2024-02-08 M. Andrecut

When providing directions to a place, web and mobile mapping services are all able to suggest the shortest route. The goal of this work is to automatically suggest routes that are not only short but also emotionally pleasant. To quantify…

Social and Information Networks · Computer Science 2014-07-04 Daniele Quercia , Rossano Schifanella , Luca Maria Aiello

Given a graph, the shortest-path problem requires finding a sequence of edges with minimum cumulative length that connects a source vertex to a target vertex. We consider a variant of this classical problem in which the position of each…

Discrete Mathematics · Computer Science 2024-05-10 Tobia Marcucci , Jack Umenberger , Pablo A. Parrilo , Russ Tedrake

Shortest paths are not always simple. In planar networks, they can be very different from those with the smallest number of turns - the simplest paths. The statistical comparison of the lengths of the shortest and simplest paths provides a…

Physics and Society · Physics 2013-12-16 Matheus P. Viana , Emanuele Strano , Patricia Bordin , Marc Barthelemy

Global infrastructure robustness and local transport efficiency are critical requirements for transportation networks. However, since passengers often travel greedily to maximize their own benefit and trigger traffic jams, overall…

Adaptation and Self-Organizing Systems · Physics 2024-01-09 Alessandro Lonardi , Caterina De Bacco

Optimal paths connecting randomly selected network nodes and fixed routers are studied analytically in the presence of non-linear overlap cost that penalizes congestion. Routing becomes increasingly more difficult as the number of selected…

Disordered Systems and Neural Networks · Physics 2012-05-15 Chi Ho Yeung , David Saad

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

We propose a protocol optimization technique that is applicable to both weighted or unweighted graphs. Our aim is to explore by how much a small variation around the Shortest Path or Optimal Path protocols can enhance protocol performance.…

Physics and Society · Physics 2015-05-19 Jose J. Ramasco , Marta S. de la Lama , Eduardo Lopez , Stefan Boettcher

The global objective of this work is to provide practical optimization methods to companies involved in inventory routing problems, taking into account this new type of data. Also, companies are sometimes not able to deal with changing…

Artificial Intelligence · Computer Science 2011-03-01 Martin Josef Geiger , Marc Sevaux

We develop new algorithmic techniques for VLSI detailed routing. First, we improve the goal-oriented version of Dijkstra's algorithm to find shortest paths in huge incomplete grid graphs with edge costs depending on the direction and the…

Data Structures and Algorithms · Computer Science 2026-02-19 Markus Ahrens , Dorothee Henke , Stefan Rabenstein , Jens Vygen

Transportation problems of large urban conurbations inspire search for new transportation systems, that meet high environmental standards, are relatively cheap and user friendly. The latter element also includes the needs of disabled and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-21 Włodzimierz Choromański , Wiktor Daszczuk , Jarosław Dyduch , Mariusz Maciejewski , Paweł Brach , Waldemar Grabski

In this paper, we focus on the different traffic flow models that exist in literature. Due to our frequently encountered confusion among traffic engineers and policy makers, this paper goes into more detail about transportation planning…

Physics and Society · Physics 2009-09-29 Sven Maerivoet , Bart De Moor

The application of routing algorithms to real-world situations is a widely studied research topic. Despite this, routing algorithms and applications are usually developed for a general purpose, meaning that certain groups, such as ageing…

Artificial Intelligence · Computer Science 2023-11-21 Andoni Aranguren , Eneko Osaba , Silvia Urra-Uriarte , Patricia Molina-Costa

Route choice models in public transport have been discussed for a long time. The main factor why a passenger chooses a specific path is usually based on its length or travel time. However, also the ticket price that passengers have to pay…

Optimization and Control · Mathematics 2022-04-05 Anita Schöbel , Reena Urban

Identifying a preferable route is an important problem that finds applications in map services. When a user plans a trip within a city, the user may want to find "a most popular route such that it passes by shopping mall, restaurant, and…

Databases · Computer Science 2015-03-20 Xin Cao , Lisi Chen , Gao Cong , Xiaokui Xiao

The proliferation of networked devices, systems, and applications that we depend on every day makes managing networks more important than ever. The increasing security, availability, and performance demands of these applications suggest…

Networking and Internet Architecture · Computer Science 2017-11-01 Nick Feamster , Jennifer Rexford
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