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Distributionally robust policy learning aims to find a policy that performs well under the worst-case distributional shift, and yet most existing methods for robust policy learning consider the worst-case joint distribution of the covariate…

Machine Learning · Computer Science 2025-06-03 Jingyuan Wang , Zhimei Ren , Ruohan Zhan , Zhengyuan Zhou

Supply chain resilience analysis aims to identify the critical elements in the supply chain, measure its reliability, and analyze solutions for improving vulnerabilities. While extensive methods like stochastic approaches have been…

Risk Management · Quantitative Finance 2024-05-22 Yaxin Pang , Shenle Pan , Eric Ballot

We study two-stage stochastic optimization problems with random recourse, where the adaptive decisions are multiplied with the uncertain parameters in both the objective function and the constraints. To mitigate the computational…

Optimization and Control · Mathematics 2021-10-05 Xiangyi Fan , Grani A. Hanasusanto

We consider the vehicle routing problem with stochastic demands (VRPSD), a problem in which customer demands are known in distribution at the route planning stage and revealed during route execution upon arrival at each customer. A…

Optimization and Control · Mathematics 2022-03-02 Alexandre M. Florio , Dominique Feillet , Marcus Poggi , Thibaut Vidal

We investigate the problem of synthesizing distributionally robust control policies for stochastic systems under safety and reach-avoid specifications. Using a game-theoretical framework, we consider the setting where the probability…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Yu Chen , Yuda Li , Shaoyuan Li , Xiang Yin

We study a competitive online optimization problem with multiple inventories. In the problem, an online decision maker seeks to optimize the allocation of multiple capacity-limited inventories over a slotted horizon, while the allocation…

Performance · Computer Science 2022-02-08 Qiulin Lin , Yanfang Mo , Junyan Su , Minghua Chen

We consider a class of stochastic interdiction games between an upper-level decision-maker (the leader) and a lower-level decision-maker (the follower), where uncertainty lies in the follower's objective function coefficients. Specifically,…

Optimization and Control · Mathematics 2026-05-15 Sergey S. Ketkov , Oleg A. Prokopyev

We consider a combined problem of teaming and scheduling of multi-skilled employees that have to perform jobs with uncertain qualification requirements. We propose two modeling approaches that generate solutions that are robust to possible…

Optimization and Control · Mathematics 2020-11-03 Yulia Anoshkina , Marc Goerigk , Frank Meisel

When selling many goods with independent valuations, we develop a distributionally robust framework, consisting of a two-player game between seller and nature. The seller has only limited knowledge about the value distribution. The seller…

Computer Science and Game Theory · Computer Science 2026-03-30 Tim S. G. van Eck , Pieter Kleer , Johan S. H. van Leeuwaarden

Retailers have significant potential to improve recommendations through strategic bundling and pricing. By taking into account different types of customers and their purchasing decisions, retailers can better accommodate customer…

Optimization and Control · Mathematics 2024-09-06 Maxime Bouscary , Mazen Danaf , Saurabh Amin

E-grocery retailing enables ordering products online to be delivered at a future time slot chosen by the customer. This emerging field of business provides retailers with large and comprehensive new data sets, yet creates several challenges…

General Economics · Economics 2024-04-08 David Winkelmann , Matthias Ulrich , Michael Römer , Roland Langrock , Hermann Jahnke

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

Original equipment manufacturers (OEMs) manufacture, inventory and transport new vehicles to franchised dealers. These franchised dealers inventory and sell new vehicles to end users. OEMs rely on logistics companies with a special type of…

Optimization and Control · Mathematics 2016-10-04 Saravanan Venkatachalam , Kaarthik Sundar

We consider a model of bilateral trade with private values. The value of the buyer and the cost of the seller are jointly distributed. The true joint distribution is unknown to the designer, however, the marginal distributions of the value…

Theoretical Economics · Economics 2023-01-02 Komal Malik

This paper addresses a new vehicle routing problem that simultaneously involves time windows, split collection and linear weight-related cost, which is a generalization of the split delivery vehicle routing problem with time windows…

Data Structures and Algorithms · Computer Science 2014-01-28 Zhixin Luo , Hu Qin , Wenbin Zhu , Andrew Lim

This paper presents a novel distributed robust optimization scheme for steering distributions of multi-agent systems under stochastic and deterministic uncertainty. Robust optimization is a subfield of optimization which aims to discover an…

Robotics · Computer Science 2025-01-31 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

This paper discusses a class of combinatorial optimization problems with uncertain costs in the objective function. It is assumed that a sample of the cost realizations is available, which defines an empirical probability distribution for…

Optimization and Control · Mathematics 2023-12-21 Marcel Jackiewicz , Adam Kasperski , Pawel Zielinski

We investigate a stochastic program with expected value constraints, addressing the problem in a general context through Distributionally Robust Optimization (DRO) approach using Wasserstein distances, where the ambiguity set depends on the…

Optimization and Control · Mathematics 2023-04-18 Diego Fonseca , Mauricio Junca

Classical stochastic control assumes perfect knowledge of the uncertainty affecting the plant. In practice, however, such information is often incomplete. To address this limitation, we consider a distributionally robust control (DRC)…

Systems and Control · Electrical Eng. & Systems 2026-05-06 Riccardo Cescon , Andrea Martin , Giancarlo Ferrari-Trecate

We give a probabilistic analysis of the unit-demand Euclidean capacitated vehicle routing problem in the random setting, where the input distribution consists of $n$ unit-demand customers modeled as independent, identically distributed…

Data Structures and Algorithms · Computer Science 2021-12-14 Claire Mathieu , Hang Zhou