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We study a routing and appointment scheduling problem with uncertain service and travel times arising from home service practice. Specifically, given a set of customers within a service region that an operator needs to serve, we seek to…

Optimization and Control · Mathematics 2021-11-23 Man Yiu , Tsang , Karmel S. Shehadeh

We consider a two-stage distributionally robust optimization (DRO) model with multimodal uncertainty, where both the mode probabilities and uncertainty distributions could be affected by the first-stage decisions. To address this setting,…

Optimization and Control · Mathematics 2026-02-03 Xian Yu , Beste Basciftci

In this paper, we consider a network capacity expansion problem in the context of telecommunication networks, where there is uncertainty associated with the expected traffic demand. We employ a distributionally robust stochastic…

Optimization and Control · Mathematics 2020-04-10 Trivikram Dokka , Francis Garuba , Marc Goerigk , Peter Jacko

We present a distributionally robust optimization (DRO) approach for the transmission expansion planning problem, considering both long- and short-term uncertainties on the system demand and non-dispatchable renewable generation. On the…

Optimization and Control · Mathematics 2020-03-17 Alexandre Velloso , David Pozo , Alexandre Street

We present a computationally efficient framework, called $\texttt{FlowDRO}$, for solving flow-based distributionally robust optimization (DRO) problems with Wasserstein uncertainty sets while aiming to find continuous worst-case…

Machine Learning · Computer Science 2024-02-27 Chen Xu , Jonghyeok Lee , Xiuyuan Cheng , Yao Xie

In this paper we wish to tackle stochastic programs affected by ambiguity about the probability law that governs their uncertain parameters. Using optimal transport theory, we construct an ambiguity set that exploits the knowledge about the…

Optimization and Control · Mathematics 2021-06-15 Adrián Esteban-Pérez , Juan M. Morales

The Vehicle Fleet Sizing, Positioning and Routing Problem with Stochastic Customers (VFSPRP-SC) consists on pairing strategic decisions of depot positioning and fleet sizing with operational vehicle routing decisions while taking into…

Optimization and Control · Mathematics 2021-09-21 David Corredor-Montenegro , Maria Jose Consuegra-Laino , Alfaima Lucía Solano-Blanco , Camilo Gómez

We consider the problem of distributionally robust multimodal machine learning. Existing approaches often rely on merging modalities on the feature level (early fusion) or heuristic uncertainty modeling, which downplays modality-aware…

Machine Learning · Computer Science 2025-11-11 Peilin Yang , Yu Ma

We study a single-server appointment scheduling problem with a fixed sequence of appointments, for which we must determine the arrival time for each appointment. We specifically examine two stochastic models. In the first model, we assume…

Optimization and Control · Mathematics 2019-07-09 Ruiwei Jiang , Minseok Ryu , Guanglin Xu

We consider the problem of preparing for a disaster season by determining where to open warehouses and how much relief item inventory to preposition in each. Then, after each disaster, prepositioned items are distributed to demand nodes…

Optimization and Control · Mathematics 2022-07-04 Karmel S. Shehadeh , Emily L. Tucker

Distributionally robust optimization (DRO) provides a framework for training machine learning models that are able to perform well on a collection of related data distributions (the "uncertainty set"). This is done by solving a min-max…

Machine Learning · Computer Science 2021-04-01 Paul Michel , Tatsunori Hashimoto , Graham Neubig

We consider optimal transport based distributionally robust optimization (DRO) problems with locally strongly convex transport cost functions and affine decision rules. Under conventional convexity assumptions on the underlying loss…

Optimization and Control · Mathematics 2021-04-27 Jose Blanchet , Karthyek Murthy , Fan Zhang

We consider distributionally robust optimization (DRO) problems, reformulated as distributionally robust feasibility (DRF) problems, with multiple expectation constraints. We propose a generic stochastic first-order meta-algorithm, where…

Optimization and Control · Mathematics 2023-05-29 Hyungki Im , Paul Grigas

Distributionally robust optimization (DRO) studies decision problems under uncertainty where the probability distribution governing the uncertain problem parameters is itself uncertain. A key component of any DRO model is its ambiguity set,…

Optimization and Control · Mathematics 2025-05-28 Daniel Kuhn , Soroosh Shafiee , Wolfram Wiesemann

In this paper, we consider a distributionally robust resource planning model inspired by a real-world service industry problem. In this problem, there is a mixture of known demand and uncertain future demand. Prior to having full knowledge…

Optimization and Control · Mathematics 2022-07-07 Ben Black , Russell Ainslie , Trivikram Dokka , Christopher Kirkbride

This paper investigates the optimal locations and capacities of hospital expansion facilities under uncertain future patient demands, considering both spatial and temporal correlations. We propose a novel two-stage distributionally robust…

Optimization and Control · Mathematics 2024-04-04 Aliaa Alnaggar , Faiza Farrukh

Distributionally robust stochastic optimization (DRSO) is an approach to optimization under uncertainty in which, instead of assuming that there is a known true underlying probability distribution, one hedges against a chosen set of…

Optimization and Control · Mathematics 2022-05-03 Rui Gao , Anton J. Kleywegt

Distributionally robust optimization (DRO) problems are increasingly seen as a viable method to train machine learning models for improved model generalization. These min-max formulations, however, are more difficult to solve. We therefore…

Machine Learning · Statistics 2020-11-03 Soumyadip Ghosh , Mark Squillante , Ebisa Wollega

Utility preference robust optimization (PRO) has recently been proposed to deal with optimal decision making problems where the decision maker's (DM) preference over gains and losses is ambiguous. In this paper, we take a step further to…

Optimization and Control · Mathematics 2024-03-11 Jian Hu , Dali Zhang , Huifu Xu , Sainan Zhang

We consider stochastic programs conditional on some covariate information, where the only knowledge of the possible relationship between the uncertain parameters and the covariates is reduced to a finite data sample of their joint…

Optimization and Control · Mathematics 2021-11-23 Adrián Esteban-Pérez , Juan M. Morales
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