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Real world networks are often subject to severe uncertainties which need to be addressed by any reliable prescriptive model. In the context of the maximum flow problem subject to arc failure, robust models have gained particular attention.…

Discrete Mathematics · Computer Science 2017-05-24 Fabian Mies , Britta Peis , Andreas Wierz

Applying robust optimization often requires selecting an appropriate uncertainty set both in shape and size, a choice that directly affects the trade-off between average-case and worst-case performances. In practice, this calibration is…

Optimization and Control · Mathematics 2025-08-28 Hao Hao , Peter Zhang

This paper considers theoretical solutions for path planning problems under non-probabilistic uncertainty used in the travel salesman problems under uncertainty. The uncertainty is on the paths between the cities as nodes in a travelling…

Optimization and Control · Mathematics 2022-12-06 Keivan Shariatmadar

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

We consider the problem of finding an optimal history-dependent routing strategy on a directed graph weighted by stochastic arc costs when the objective is to minimize the risk of spending more than a prescribed budget. To help mitigate the…

Data Structures and Algorithms · Computer Science 2016-02-23 Arthur Flajolet , Sebastien Blandin , Patrick Jaillet

We study a scenario for route planning in road networks, where the objective to be optimized may change between every shortest path query. Since this invalidates many of the known speedup techniques for road networks that are based on…

Data Structures and Algorithms · Computer Science 2015-09-11 Julian Dibbelt , Ben Strasser , Dorothea Wagner

To tackle ever-increasing city traffic congestion problems, researchers have proposed deep learning models to aid decision-makers in the traffic control domain. Although the proposed models have been remarkably improved in recent years,…

Machine Learning · Computer Science 2022-08-10 Hyunwook Lee , Cheonbok Park , Seungmin Jin , Hyeshin Chu , Jaegul Choo , Sungahn Ko

Assessing the resilience of a road network is instrumental to improve existing infrastructures and design new ones. Here we apply the optimal path crack model (OPC) to investigate the mobility of road networks and propose a new proxy for…

Physics and Society · Physics 2020-11-04 H. A. Carmona , A. W. T. de Noronha , A. A. Moreira , N. A. M. Araujo , J. S. Andrade

Classical deterministic optimal control problems assume full information about the controlled process. The theory of control for general partially-observable processes is powerful, but the methods are computationally expensive and typically…

Optimization and Control · Mathematics 2024-08-02 Dongping Qi , Adam Dhillon , Alexander Vladimirsky

In robust optimization, we would like to find a solution that is immunized against all scenarios that are modeled in an uncertainty set. Which scenarios to include in such a set is therefore of central importance for the tractability of the…

Optimization and Control · Mathematics 2024-10-14 Jamie Fairbrother , Marc Goerigk , Mohammad Khosravi

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

Uncertainty is an essential consideration for time series forecasting tasks. In this work, we specifically focus on quantifying the uncertainty of traffic forecasting. To achieve this, we develop Deep Spatio-Temporal Uncertainty…

Machine Learning · Computer Science 2022-08-12 Weizhu Qian , Dalin Zhang , Yan Zhao , Kai Zheng , James J. Q. Yu

Advances in traffic forecasting technology can greatly impact urban mobility. In the traffic4cast competition, the task of short-term traffic prediction is tackled in unprecedented detail, with traffic volume and speed information available…

Computer Vision and Pattern Recognition · Computer Science 2021-10-28 Nina Wiedemann , Martin Raubal

In modern taxi networks, large amounts of taxi occupancy status and location data are collected from networked in-vehicle sensors in real-time. They provide knowledge of system models on passenger demand and mobility patterns for efficient…

Systems and Control · Computer Science 2017-10-24 Fei Miao , Shuo Han , Shan Lin , Qian Wang , John Stankovic , Abdeltawab Hendawi , Desheng Zhang , Tian He , George J. Pappas

Shortest path queries over graphs are usually considered as isolated tasks, where the goal is to return the shortest path for each individual query. In practice, however, such queries are typically part of a system (e.g., a road network)…

Databases · Computer Science 2021-10-20 Chris Conlan , Teddy Cunningham , Gunduz Vehbi Demirci , Hakan Ferhatosmanoglu

We survey recent advances in algorithms for route planning in transportation networks. For road networks, we show that one can compute driving directions in milliseconds or less even at continental scale. A variety of techniques provide…

Data Structures and Algorithms · Computer Science 2015-04-21 Hannah Bast , Daniel Delling , Andrew Goldberg , Matthias Müller-Hannemann , Thomas Pajor , Peter Sanders , Dorothea Wagner , Renato F. Werneck

Robust optimization methods have shown practical advantages in a wide range of decision-making applications under uncertainty. Recently, their efficacy has been extended to multi-period settings. Current approaches model uncertainty either…

Optimization and Control · Mathematics 2022-02-23 Omid Nohadani , Kartikey Sharma

We study the minimum cut problem in the presence of uncertainty and show how to apply a novel robust optimization approach, which aims to exploit the similarity in subsequent graph measurements or similar graph instances, without posing any…

Data Structures and Algorithms · Computer Science 2013-04-30 Barbara Geissmann , Rastislav Šrámek

Network-level traffic condition forecasting has been intensively studied for decades. Although prediction accuracy has been continuously improved with emerging deep learning models and ever-expanding traffic data, traffic forecasting still…

Machine Learning · Computer Science 2023-11-01 Guopeng Li , Victor L. Knoop , J. W. C. , van Lint

This study evaluates path sets generation for route choice models in multimodal public transportation networks, using both conventional (network algorithms) and empirical (smart card data driven) methods. While the empirical approach can…

Physics and Society · Physics 2025-03-25 Georges Sfeir , Filipe Rodrigues , Ravi Seshadri , Carlos Lima Azevedo