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This paper addresses a central challenge of jointly considering shorter-term (e.g. hourly) and longer-term (e.g. yearly) uncertainties in power system planning with increasing penetration of renewable and storage resources. In conventional…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Chao Yan , Xinbo Geng , Zhaohong Bie , Le Xie

The increasing integration of intermittent distributed energy resources (DERs) has introduced significant variability in distribution networks, posing challenges to voltage regulation and reactive power management. This paper presents a…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Zhentong Shao , Jingtao Qin , Nanpeng Yu

We consider a two-stage generation scheduling problem comprising a forward dispatch and a real-time re-dispatch. The former must be conducted facing an uncertain net demand that includes non-dispatchable electricity consumption and…

Optimization and Control · Mathematics 2023-04-18 Juan M. Morales , Miguel Á. Muñoz , Salvador Pineda

This article focuses on the security assessment of electricity Distribution Networks (DNs) with vulnerable Distributed Energy Resource (DER) nodes. The adversary model is simultaneous compromise of DER nodes by strategic manipulation of…

Optimization and Control · Mathematics 2016-08-15 Devendra Shelar , Saurabh Amin

Increasing integration of distributed energy resources (DERs) within distribution feeders provides unprecedented flexibility at the distribution-transmission interconnection. With the new FERC 2222 order, DER aggregations are allowed to…

Systems and Control · Electrical Eng. & Systems 2022-07-27 Bai Cui , Ahmed Zamzam , Andrey Bernstein

Renewable energy sources such as wind and solar have received much attention in recent years and large amount of renewable generation is being integrated to the electricity networks. A fundamental challenge in power system operation is to…

Optimization and Control · Mathematics 2014-07-11 W. A. Bukhsh , C. Zhang , P. Pinson

The bin packing problem exists widely in real logistic scenarios (e.g., packing pipeline, express delivery), with its goal to improve the packing efficiency and reduce the transportation cost. In this NP-hard combinatorial optimization…

Artificial Intelligence · Computer Science 2022-02-28 Jiahui Duan , Xialiang Tong , Fei Ni , Zhenan He , Lei Chen , Mingxuan Yuan

Day-ahead scheduling of electricity generation or unit commitment is an important and challenging optimization problem in power systems. Variability in net load arising from the increasing penetration of renewable technologies have…

Optimization and Control · Mathematics 2018-08-06 Ali Irfan Mahmutogullari , Shabbir Ahmed , Ozlem Cavus , M. Selim Akturk

The column-and-constraint generation (CCG) method was introduced by \citet{Zeng2013} for solving two-stage adaptive optimization. We found that the CCG method is quite scalable, but sometimes, and in some applications often, produces…

Optimization and Control · Mathematics 2018-07-10 Dimitris Bertsimas , Shimrit Shtern

The proliferation of small-scale renewable generators and price-responsive loads makes it a challenge for distribution network operators (DNOs) to schedule the controllable loads of the load aggregators and the generation of the generators…

Systems and Control · Computer Science 2017-05-09 Shahab Bahrami , M. Hadi Amini

Bilevel programming can be used to formulate many problems in the field of power systems, such as strategic bidding. However, common reformulations of bilevel problems to mixed-integer linear programs make solving such problems hard, which…

Optimization and Control · Mathematics 2022-07-11 Eléa Prat , Spyros Chatzivasileiadis

Integrating Distributed Energy Resources (DERs) with peer-to-peer (P2P) energy trading offers promising solutions for grid modernization by incentivizing prosumers to participate in mitigating peak demand. However, this integration also…

Optimization and Control · Mathematics 2025-07-18 Amir Noori , Babak Tavassoli , Alireza Fereidunian

In this work we study binary two-stage robust optimization problems with objective uncertainty. We present an algorithm to calculate efficiently lower bounds for the binary two-stage robust problem by solving alternately the underlying…

Optimization and Control · Mathematics 2020-01-17 Nicolas Kämmerling , Jannis Kurtz

This paper studies the estimation of ranked-list discrete choice models with single and multiple purchases. In this setting, each consumer type is characterized by a ranking over a subset of products and a desired number of purchases, and…

Data Structures and Algorithms · Computer Science 2026-05-11 Luciano Costa , Gerardo Berbeglia , Claudio Contardo , Jean-François Cordeau

Traditional end-to-end contextual robust optimization models are trained for specific contextual data, requiring complete retraining whenever new contextual information arrives. This limitation hampers their use in online decision-making…

Optimization and Control · Mathematics 2025-10-20 Carlos Gamboa , Alexandre Street , Davi Valladão , Bernardo Pagnocelli

In this paper, we propose and experimentally validate a scheduling and control framework for distributed energy resources (DERs) that achieves to track a day-ahead dispatch plan of a distribution network hosting controllable and stochastic…

Systems and Control · Electrical Eng. & Systems 2020-08-10 Rahul Kumar Gupta , Fabrizio Sossan , Mario Paolone

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

Recent advancements in the fields of artificial intelligence and machine learning methods resulted in a significant increase of their popularity in the literature, including electricity price forecasting. Said methods cover a very broad…

Applications · Statistics 2020-08-19 Grzegorz Marcjasz , Jesus Lago , Rafał Weron

A promising approach to hedge against the inherent uncertainty of renewable generation is to equip the renewable plants with energy storage systems. This paper focuses on designing profit maximization offering strategies, i.e., the…

Computer Science and Game Theory · Computer Science 2016-12-02 Lin Yang , Mohammad H. Hajiesmaili , Hanling Yi , Minghua Chen

Set covering problem is an important class of combinatorial optimization problems, which has been widely applied and studied in many fields. In this paper, we propose an improved column generation algorithm with neural prediction (CG-P) for…

Machine Learning · Computer Science 2022-07-13 Haofeng Yuan , Peng Jiang , Shiji Song