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We study a multi-objective model on the allocation of reusable resources under model uncertainty. Heterogeneous customers arrive sequentially according to a latent stochastic process, request for certain amounts of resources, and occupy…

Optimization and Control · Mathematics 2023-08-02 Xilin Zhang , Wang Chi Cheung

In this paper, we use stochastic polynomial optimization to derive high-performance operating strategies for heating networks with uncertain or variable demand. The heat flow in district heating networks can be regulated by varying the…

Optimization and Control · Mathematics 2019-02-05 Marc Hohmann , Joseph Warrington , John Lygeros

Real-time dispatch practices for operating the electric grid in an economic and reliable manner are evolving to accommodate higher levels of renewable energy generation. In particular, stochastic optimization is receiving increased…

Optimization and Control · Mathematics 2018-06-28 Ryan N. King , Matthew Reynolds , Devon Sigler , Wesley Jones

We present the Stochastic alternate Linearization Method (StochaLM), a token-based method for distributed optimization. This algorithm finds the solution of a consensus optimization problem by solving a sequence of subproblems where some…

Signal Processing · Electrical Eng. & Systems 2021-12-28 Inês Almeida , João Xavier

This paper proposes a novel method to co-optimize distribution system operation and repair crew routing for outage restoration after extreme weather events. A two-stage stochastic mixed integer linear program is developed. The first stage…

Optimization and Control · Mathematics 2018-06-29 Anmar Arif , Shanshan Ma , Zhaoyu Wang , Jianhui Wang , Sarah M. Ryan , Chen Chen

High penetration of renewable energy sources (RES) introduces significant uncertainty and intermittency into microgrid operations, posing challenges to economic and reliable scheduling. To address this, this paper proposes an end-to-end…

Systems and Control · Electrical Eng. & Systems 2026-02-04 Tingwei Cao , Yan Xu

In inland waterways, the efficient management of water lock operations impacts the level of congestion and the resulting uncertainty in inland waterway transportation. To achieve reliable and efficient traffic, schedules should be easy to…

Data Structures and Algorithms · Computer Science 2025-06-24 Julian Golak , Alexander Grigoriev , Freija van Lent , Tom van der Zanden

The development of surrogate models to study uncertainties in hydrologic systems requires significant effort in the development of sampling strategies and forward model simulations. Furthermore, in applications where prediction time is…

Computational Physics · Physics 2023-01-19 Chen Chen , Clint Dawson , Eirik Valseth

In this paper, we develop a zonal-based flexible bus services (ZBFBS) by considering both passenger demands spatial (origin-destination or OD) and volume stochastic variations. Service requests are grouped by zonal OD pairs and number of…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Enoch Lee , Xuekai Cen , Hong K. Lo , Ka Fai Ng

Predicting port congestion is crucial for maintaining reliable global supply chains. Accurate forecasts enableimprovedshipment planning, reducedelaysand costs, and optimizeinventoryanddistributionstrategies, thereby ensuring timely…

Artificial Intelligence · Computer Science 2025-06-25 Guo Li , Zixiang Xu , Wei Zhang , Yikuan Hu , Xinyu Yang , Nikolay Aristov , Mingjie Tang , Elenna R Dugundji

This study introduces adaptive robust optimization (ARO) and adaptive robust stochastic optimization (ARSO) approaches to address long- and short-term uncertainties in the optimal sizing and placement of distributed energy resources in…

Optimization and Control · Mathematics 2025-03-25 Fernando García-Muñoz , Cristian Duran-Mateluna

We develop a non-parametric, data-driven, tractable approach for solving multistage stochastic optimization problems in which decisions do not affect the uncertainty. The proposed framework represents the decision variables as elements of a…

Optimization and Control · Mathematics 2023-03-14 Dimitris Bertsimas , Kimberly Villalobos Carballo

Infrastructure networks are increasingly vulnerable to natural hazards and design flaws, making resilience assessment essential. This paper presents a scenario-based framework to evaluate network vulnerability by combining local measures…

Applications · Statistics 2025-04-01 S. Saei , N. Tajik

This work presents a methodology to incorporate reliability constraints in the optimal power systems expansion planning problem. Besides LOLP and EPNS, traditionally used in power systems, this work proposes the use of the risk measures VaR…

Optimization and Control · Mathematics 2019-11-11 Luiz Carlos da Costa , Fernanda Souza Thomé , Joaquim Dias Garcia , Mario V. F. Pereira

Mobile energy storage systems (MESSs) provide promising solutions to enhance distribution system resilience in terms of mobility and flexibility. This paper proposes a rolling integrated service restoration strategy to minimize the total…

Optimization and Control · Mathematics 2019-09-24 Shuhan Yao , Peng Wang , Xiaochuan Liu , Huajun Zhang , Tianyang Zhao

Resource allocation problems are a family of problems in which resources must be selected to satisfy given demands. This paper focuses on the two-stage stochastic generalization of resource allocation problems where future demands are…

Neural and Evolutionary Computing · Computer Science 2019-03-06 Pedro H. D. B. Hokama , Mário C. San Felice , Evandro C. Bracht , Fábio L. Usberti

The design of integrated mobility-on-demand services requires jointly considering the interactions between traveler choice behavior and operators' operation policies to design a financially sustainable pricing scheme. However, most existing…

General Economics · Economics 2020-06-09 Tai-Yu Ma , Sylvain Klein

We develop a tractable and flexible approach for incorporating side information into dynamic optimization under uncertainty. The proposed framework uses predictive machine learning methods (such as $k$-nearest neighbors, kernel regression,…

Optimization and Control · Mathematics 2020-07-23 Dimitris Bertsimas , Christopher McCord , Bradley Sturt

We consider a variant of the berth allocation problem-i.e., the multi-port berth allocation problem-aimed at assigning berthing times and positions to vessels in container terminals. This variant involves optimizing vessel travel speeds…

Optimization and Control · Mathematics 2021-10-05 Bernardo Martin-Iradi , Dario Pacino , Stefan Ropke

We propose an approach based on machine learning to solve two-stage linear adaptive robust optimization (ARO) problems with binary here-and-now variables and polyhedral uncertainty sets. We encode the optimal here-and-now decisions, the…

Machine Learning · Computer Science 2026-04-21 Dimitris Bertsimas , Cheol Woo Kim
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