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Weather routing methods are essential for planning routes for commercial shipping and recreational craft. This paper provides a methodology for quantifying the significance of numerical error and performance model uncertainty on the…

Numerical Analysis · Mathematics 2024-12-20 Thomas Dickson , Helen Farr , David Sear , James Blake

This contribution describes the implementation of a data--driven shape optimization pipeline in a naval architecture application. We adopt reduced order models (ROMs) in order to improve the efficiency of the overall optimization, keeping a…

Numerical Analysis · Mathematics 2024-01-22 Nicola Demo , Giulio Ortali , Gianluca Gustin , Gianluigi Rozza , Gianpiero Lavini

We study contextual stochastic optimization problems, where we leverage rich auxiliary observations (e.g., product characteristics) to improve decision making with uncertain variables (e.g., demand). We show how to train forest decision…

Optimization and Control · Mathematics 2022-03-17 Nathan Kallus , Xiaojie Mao

This paper applies Benders decomposition to two-stage stochastic problems for energy planning under climate uncertainty, a key problem for the design of renewable energy systems. To improve performance, we adapt various refinements for…

Optimization and Control · Mathematics 2024-01-29 Leonard Göke , Felix Schmidt , Mario Kendziorski

Climate policy modelling is a key tool for assessing mitigation strategies in complex systems, where uncertainty is inherent and unavoidable. We present a general methodology for extensive uncertainty analysis in this field. While other…

Applications · Statistics 2026-05-15 Ian J. Burton , Femke J. M. M. Nijsse , James M. Salter

Electric vehicles (EVs) have been highly favoured as a future transportation mode in the transportation section in recent years. EVs have many advantages compared to traditional transportation, especially the environmental aspect. However,…

Optimization and Control · Mathematics 2022-04-26 Jaehee Jeong , Bissan Ghaddar , Nicolas Zufferey , Jatin Nathwani

The last decade witnessed an explosion in the availability of data for operations research applications. Motivated by this growing availability, we propose a novel schema for utilizing data to design uncertainty sets for robust optimization…

Optimization and Control · Mathematics 2014-11-25 Dimitris Bertsimas , Vishal Gupta , Nathan Kallus

This tutorial contrasts probabilistic modeling and robust optimization to determine decisions in humanitarian logistics, specifically supply chains subject to adversarial (natural and human) disruptions. Natural disruptions induce dispatch…

Optimization and Control · Mathematics 2026-04-06 Justin Kilb , Daniel Bienstock , Alexandra M. Newman

We show the application of an optimal transportation approach to estimate stochastic volatility process by using the flow that optimally transports the set of particles from the prior to a posterior distribution. We also show how to direct…

Numerical Analysis · Mathematics 2017-09-06 Raphael Douady , Shohruh Miryusupov

Electric truck operations require routing decisions that remain feasible under limited battery range, long charging times, travel and energy consumption, and competition for shared charging infrastructure. These features make electric truck…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Stavros Orfanoudakis , Ziyan Li , Ruixiao Yang , Nikolay Aristov , Pedro P. Vergara , Chuchu Fan , Elenna Dugundji

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

A two-stage multi-period mixed-integer linear stochastic programming model is proposed to assist qualified operators in long-term generation and transmission expansion planning of electricity and gas systems to meet policy objectives. The…

Optimization and Control · Mathematics 2025-05-22 Giovanni Micheli , Maria Teresa Vespucci , Alessia Cortazzi , Cinzia Puglisi

International shipping produces approximately 3% of global greenhouse gas emissions, yet voyage routing remains dominated by heuristic methods. We present PIER (Physics-Informed, Energy-efficient, Risk-aware routing), an offline…

Artificial Intelligence · Computer Science 2026-03-19 Aniruddha Bora , Julie Chalfant , Chryssostomos Chryssostomidis

Resource tradeoffs can often be established by solving an appropriate robust optimization problem for a variety of scenarios involving constraints on optimization variables and uncertainties. Using an approach based on sequential convex…

Quantum Physics · Physics 2013-12-17 Robert L. Kosut , Matthew D. Grace , Constantin Brif

The uncertainty quantification and risk modeling are hot topics in the operation and planning of energy systems. The system operators and planners are decision-makers that need to handle the uncertainty of input data of their models. As an…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Majid Majidi , Behnam Mohammadi-Ivatlooa , Alireza Soroudi

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

In this paper, we address the joint optimization of fleet size and mix, along with vehicle routing, under uncertain customer demand. We propose a two-stage stochastic mixed-integer programming model, where first-stage decisions concern the…

Optimization and Control · Mathematics 2025-12-11 Paolo Beatrici , Sebastian Birolini , Francesca Maggioni , Paolo Malighetti

Uncertainty-aware robot motion prediction is crucial for downstream traversability estimation and safe autonomous navigation in unstructured, off-road environments, where terrain is heterogeneous and perceptual uncertainty is high. Most…

The cross dock door design problem consists of deciding on the number and capacity of inbound and outbound doors for receiving product pallets from origin nodes and exiting them to destination nodes. The uncertainty, realized in scenarios,…

Optimization and Control · Mathematics 2024-03-07 Laureano F. Escudero , M. Araceli Garín , Aitziber Unzueta

The maritime industry aims towards a sustainable future, which requires significant improvements in operational efficiency. Current approaches focus on minimising fuel consumption and emissions through greater autonomy. Efficient and safe…

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