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We consider robust shortest path problems, where the aim is to find a path that optimizes the worst-case performance over an uncertainty set containing all relevant scenarios for arc costs. The usual approach for such problems is to assume…

Optimization and Control · Mathematics 2018-02-13 André Chassein , Trivikram Dokka , Marc Goerigk

In robust optimization, the uncertainty set is used to model all possible outcomes of uncertain parameters. In the classic setting, one assumes that this set is provided by the decision maker based on the data available to her. Only…

Optimization and Control · Mathematics 2019-01-23 Trivikram Dokka , Marc Goerigk , Rahul Roy

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

Optimization and Control · Mathematics 2018-03-29 Omid Nohadani , Kartikey Sharma

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

When there are significant service disruptions in public transit systems, passengers usually need guidance to find alternative paths. This paper proposes a path recommendation model to mitigate congestion during public transit disruptions.…

Optimization and Control · Mathematics 2025-05-20 Baichuan Mo , Haris N. Koutsopoulos , Max Zuo-Jun Shen , Jinhua Zhao

In classic robust optimization, it is assumed that a set of possible parameter realizations, the uncertainty set, is modeled in a previous step and part of the input. As recent work has shown, finding the most suitable uncertainty set is in…

Optimization and Control · Mathematics 2016-10-18 André Chassein , Marc Goerigk

The estimation of the amount of uncertainty featured by predictive machine learning models has acquired a great momentum in recent years. Uncertainty estimation provides the user with augmented information about the model's confidence in…

Machine Learning · Computer Science 2022-10-31 Ibai Laña , Ignacio , Olabarrieta , Javier Del Ser

We consider the following problem : we have a high-resolution street network of a given city, and low-resolution measurements of traffic within this city. We want to associate to each measurement the set of streets corresponding to the…

Social and Information Networks · Computer Science 2024-05-24 Bastien Legay , Matthieu Latapy

The effects of model parameter uncertainty on traffic flow control problems have recently drawn research attention. While the uncertainty in fundamental diagram related parameters has been investigated in the past, few articles have focused…

Optimization and Control · Mathematics 2021-03-09 Hao Liu , Christian Claudel , Randy Machemehl , Kenneth A. Perrine

We consider a network design and expansion problem, where we need to make a capacity investment now, such that uncertain future demand can be satisfied as closely as possible. To use a robust optimization approach, we need to construct an…

Optimization and Control · Mathematics 2021-03-03 Francis Garuba , Marc Goerigk , Peter Jacko

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

We study stochastic routing in the PAth-CEntric (PACE) uncertain road network model. In the PACE model, uncertain travel times are associated with not only edges but also some paths. The uncertain travel times associated with paths are able…

Databases · Computer Science 2018-05-11 Georgi Andonov , Bin Yang

Digital twins and other simulators are increasingly used to support routing decisions in large-scale networks. However, simulator outputs often exhibit systematic bias, while ground-truth measurements are costly and scarce. We study a…

Machine Learning · Computer Science 2026-01-08 Dmytro Matsypura , Yu Pan , Hanzhao Wang

Sidewalk delivery robots are a promising solution for last-mile freight distribution. Yet, they operate in dynamic environments characterized by pedestrian flows and potential obstacles, which make travel times highly uncertain and can…

Robotics · Computer Science 2026-04-16 Xing Tong , Michele D. Simoni

Motion prediction of surrounding vehicles is one of the most important tasks handled by a self-driving vehicle, and represents a critical step in the autonomous system necessary to ensure safety for all the involved traffic actors. Recently…

Robotics · Computer Science 2020-06-16 Sai Yalamanchi , Tzu-Kuo Huang , Galen Clark Haynes , Nemanja Djuric

To solve a real-world problem, the modeler usually needs to make a trade-off between model complexity and usefulness. This is also true for robust optimization, where a wide range of models for uncertainty, so-called uncertainty sets, have…

Optimization and Control · Mathematics 2019-01-14 Francis Garuba , Marc Goerigk , Peter Jacko

Traffic prediction is a crucial topic because of its broad scope of applications in the transportation domain. Recently, various studies have achieved promising results. However, most studies assume the prediction locations have complete or…

Machine Learning · Computer Science 2024-02-07 Hao Mei , Junxian Li , Zhiming Liang , Guanjie Zheng , Bin Shi , Hua Wei

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

Safe motion planning for robotic systems in dynamic environments is nontrivial in the presence of uncertain obstacles, where estimation of obstacle uncertainties is crucial in predicting future motions of dynamic obstacles. The worst-case…

Robotics · Computer Science 2025-01-22 Jian Zhou , Yulong Gao , Ola Johansson , Björn Olofsson , Erik Frisk

Despite the strong predictive performance of deep learning models for traffic prediction, their widespread deployment in real-world intelligent transportation systems has been restrained by a lack of interpretability. Uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2023-08-14 Alexander Timans , Nina Wiedemann , Nishant Kumar , Ye Hong , Martin Raubal
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