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We study a class of iterative combinatorial auctions which can be viewed as subgradient descent methods for the problem of pricing bundles to balance supply and demand. We provide concrete convergence rates for auctions in this class,…

Computer Science and Game Theory · Computer Science 2016-06-01 Jacob Abernethy , Sébastien Lahaie , Matus Telgarsky

Bundle methods are often used to solve dual problems that arise from Lagrangian relaxations of large scale optimization problems. An example of such problems is the train timetabling problem. This paper focuses on solving a dual problem…

Optimization and Control · Mathematics 2017-03-01 Abderrahman Ait Ali , Per Olov Lindberg , Jan-Eric Nilsson , Jonas Eliasson , Martin Aronsson

Collusion and capacity withholding in electricity wholesale markets are important mechanisms of market manipulation. This study applies a refined machine learning-based cartel detection algorithm to two cartel cases in the Italian…

Econometrics · Economics 2025-12-02 Jeremy Proz , Martin Huber

This paper develops learning-augmented algorithms for energy trading in volatile electricity markets. The basic problem is to sell (or buy) $k$ units of energy for the highest revenue (lowest cost) over uncertain time-varying prices, which…

Machine Learning · Computer Science 2024-02-29 Russell Lee , Bo Sun , Mohammad Hajiesmaili , John C. S. Lui

This paper proposes an optimal strategy for a Renewable Energy Community participating in the Italian pay-as-bid ancillary service market. The community is composed by a group of residential customers sharing a common facility equipped with…

Systems and Control · Electrical Eng. & Systems 2023-11-22 F. Conte , S. Massucco , G. Natrella , M. Saviozzi , F. Silvestro

In electrical distribution grids, the constantly increasing number of power generation devices based on renewables demands a transition from a centralized to a distributed generation paradigm. In fact, power injection from Distributed…

Systems and Control · Computer Science 2017-06-30 Riccardo Bonetto , Michele Rossi , Stefano Tomasin , Carlo Fischione

The increasing diffusion of distributed energy generation systems requires the development of new control paradigms for the coordination of micro-generators, storage systems, and loads aimed at maintaining the efficiency and the safe…

Optimization and Control · Mathematics 2019-10-15 Alessio La Bella , Marcello Farina , Carlo Sandroni , Riccardo Scattolini

We consider a revenue maximization model, in which a company aims at designing a menu of contracts, given a population of customers. A standard approach consists in constructing an incentive-compatible continuum of contracts, i.e., a menu…

Optimization and Control · Mathematics 2023-03-31 Quentin Jacquet , Wim van Ackooij , Clémence Alasseur , Stéphane Gaubert

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

We consider the problem of planning the aggregate energy consumption for a set of thermostatically controlled loads for demand response, accounting price forecast trajectory and thermal comfort constraints. We address this as a…

Optimization and Control · Mathematics 2019-05-09 Fernando A. C. C. Fontes , Abhishek Halder , Jorge Becerril , P. R. Kumar

Wall-clock-time is minimized for a solution to a linear-program with block-diagonal-structure, by decomposing the linear-program into as many small-sized subproblems as possible, each block resulting in a separate subproblem, when the…

Discrete Mathematics · Computer Science 2015-08-11 Deepak Ponvel Chermakani

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

To enable an efficient electricity market, a good pricing scheme is of vital importance. Among many practical schemes, customized pricing is commonly believed to be able to best exploit the flexibility in the demand side. However, due to…

Computational Engineering, Finance, and Science · Computer Science 2019-12-13 Jingshi Cui , Haoxiang Wang , Chenye Wu , Yang Yu

This paper discusses the error and cost aspects of ill-posed integral equations when given discrete noisy point evaluations on a fine grid. Standard solution methods usually employ discretization schemes that are directly induced by the…

Numerical Analysis · Mathematics 2025-04-04 Michael Griebel , Tim Jahn

In order to reduce the energy cost of data centers, recent studies suggest distributing computation workload among multiple geographically dispersed data centers, by exploiting the electricity price difference. However, the impact of data…

Systems and Control · Computer Science 2016-08-23 Hao Wang , Jianwei Huang , Xiaojun Lin , Hamed Mohsenian-Rad

Team assembly is a problem that demands trade-offs between multiple fairness criteria and computational optimization. We focus on four criteria: (i) fair distribution of workloads within the team, (ii) fair distribution of skills and…

Databases · Computer Science 2023-06-27 Rodrigo Borges , Otto Sahlgrens , Sami Koivunen , Kostas Stefanidis , Thomas Olsson , Arto Laitinen

This paper considers a real-time electricity market involving an independent system operator (ISO) and a group of strategic generators. The ISO operates a market where generators bid prices at which there are willing to provide power. The…

Optimization and Control · Mathematics 2018-03-13 Tjerk Stegink , Ashish Cherukuri , Claudio De Persis , Arjan van der Schaft , Jorge Cortés

Optimal scheduling of deferrable electrical loads can reshape the aggregated load profile to achieve higher operational efficiency and reliability. This paper studies deferrable load scheduling under demand charge that imposes a penalty on…

Optimization and Control · Mathematics 2021-01-13 Lei Yang , Xinbo Geng , Xiaohong Guan , Lang Tong

This paper studies an electricity market consisting of an independent system operator (ISO) and a group of generators. The goal is to solve the DC optimal power flow (DC-OPF) problem: have the generators collectively meet the power demand…

Optimization and Control · Mathematics 2017-02-22 Ashish Cherukuri , Jorge Cortes

A key challenge in combinatorial auctions is designing bid formats that accurately capture agents' preferences while remaining computationally feasible. This is especially true for electricity auctions, where complex preferences complicate…

General Economics · Economics 2025-08-26 Thomas Hübner , Gabriela Hug