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An optimal scheduling model for a microgrid participating in the electricity distribution market in interaction with a Distribution Market Operator (DMO) is proposed in this paper. The DMO administers the established electricity market in…

Systems and Control · Computer Science 2016-11-15 Sina Parhizi , Amin Khodaei , Mohammad Shahidehpour

Real-time hierarchical energy-sharing markets are promising to coordinate large numbers of prosumers. Still, most existing clearing methods rely on linearized or DC power-flow models and do not explicitly handle reactive power or…

Optimization and Control · Mathematics 2026-05-25 Tonghua Liu , Yifan Su , Zhaojian Wang , Feng Liu

The problem of market clearing is to set a price for an item such that quantity demanded equals quantity supplied. In this work, we cast the problem of predicting clearing prices into a learning framework and use the resulting models to…

Machine Learning · Computer Science 2019-06-25 Weiran Shen , Sébastien Lahaie , Renato Paes Leme

Electric mobility faces several challenges, most notably the high cost of infrastructure development and the underutilization of charging stations. The concept of shared charging offers a promising solution. The paper explores sustainable…

Optimization and Control · Mathematics 2026-05-06 Fangting Zhou , Balazs Kulcsar , Jiaming Wu

As markets have digitized, the number of tradable products has skyrocketed. Algorithmically constructed portfolios of these assets now dominate public and private markets, resulting in a combinatorial explosion of tradable assets. In this…

Computer Science and Game Theory · Computer Science 2025-05-27 Theo Diamandis , Tarun Chitra , Guillermo Angeris

The distribution network restoration problem is by nature a mixed integer and non-linear optimization problem due to the switching decisions and Optimal Power Flow (OPF) constraints, respectively. The link between these two parts involves…

Optimization and Control · Mathematics 2020-02-25 Hossein Sekhavatmanesh , Rachid Cherkaoui

This paper introduces the Minimum Price Markov Game (MPMG), a theoretical model that reasonably approximates real-world first-price markets following the minimum price rule, such as public auctions. The goal is to provide researchers and…

Computer Science and Game Theory · Computer Science 2025-03-20 Igor Sadoune , Marcelin Joanis , Andrea Lodi

In this paper, we give new auction algorithms for maximum weighted bipartite matching (MWM) and maximum cardinality bipartite $b$-matching (MCbM). Our algorithms run in $O\left(\log n/\varepsilon^8\right)$ and $O\left(\log…

Data Structures and Algorithms · Computer Science 2023-07-19 Quanquan C. Liu , Yiduo Ke , Samir Khuller

Generalized Benders decomposition (GBD) is a globally optimal algorithm for mixed integer nonlinear programming (MINLP) problems, which are NP-hard and can be widely found in the area of wireless resource allocation. The main idea of GBD is…

Information Theory · Computer Science 2020-10-16 Mengyuan Lee , Ning Ma , Guanding Yu , Huaiyu Dai

Recently, we proposed a capacity expansion approach for transmission grids that combines the upgrade of transmission capacity with a transition in system structure to improve grid operation. The key to this concept is a particular hybrid…

Optimization and Control · Mathematics 2018-11-27 Matthias Hotz , Wolfgang Utschick

We study the Generalized Multiple Strip Packing Problem (GMSPP) with heterogeneous per-unit-area costs, in which rectangular items of fixed dimensions must be packed without overlap into multiple open-ended strips of different widths, each…

Optimization and Control · Mathematics 2026-04-07 Hyunwoo Lee , Taesu Cheong

Traditionally, the electric distribution system operates with uniform energy prices across all system nodes. However, as the adoption of distributed energy resources (DERs) propels a shift from passive to active distribution network (ADN)…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Xiaofei Wang , Fangxing Li , Linquan Bai , Xin Fang

With the sustained attention on carbon neutrality, the personal carbon trading (PCT) scheme has been embraced as an auspicious paradigm for scaling down carbon emissions. To facilitate the simultaneous clearance of energy and carbon…

Systems and Control · Electrical Eng. & Systems 2023-01-31 Yuanxi Wu , Zhi Wu , Wei Gu , Zheng Xu , Shu Zheng , Qirun Sun

In this paper, we address a variant of the marketing mix optimization (MMO) problem which is commonly encountered in many industries, e.g., retail and consumer packaged goods (CPG) industries. This problem requires the spend for each…

Optimization and Control · Mathematics 2021-01-12 Hsin-Chan Huang , Jiefeng Xu , Alvin Lim

This paper introduces weighted-BMP, a variant of the Bandwidth Minimization Problem (BMP), with a significant application in optimizing quantum emulation. Weighted-BMP optimizes particles ordering to reduce the emulation costs, by designing…

In several multiobjective decision problems Pairwise Comparison Matrices (PCM) are applied to evaluate the decision variants. The problem that arises very often is the inconsistency of a given PCM. In such a situation it is important to…

Optimization and Control · Mathematics 2024-12-10 Marcin Anholcer , Janos Fülöp

Price based demand response schemes may significantly improve power system efficiency. Additionally, it is desired that such schemes yield improved power operation, by reducing the peak consumption. This paper proposes the Intraday Block…

Optimization and Control · Mathematics 2023-01-31 Carolina Cortez , Andreas Kasis , Dimitrios Papadaskalopoulos , Stelios Timotheou

This paper revisits the fundamental equations for the solution of the frictionless unilateral normal contact problem between a rough rigid surface and a linear elastic half-plane using the boundary element method (BEM). After recasting the…

Materials Science · Physics 2015-06-02 A. Bemporad , M. Paggi

In the process industries, MPC (Model Predictive Control) is typically implemented as a two-stage controller with a Linear Program (LP) steady-state optimizer that generates economically optimal targets for the MPC algorithm. Abnormal…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Lim C. Siang , Daniel L. O'Connor

Motivated by the problem of market power in electricity markets, we introduced in previous works a mechanism for simplified markets of two agents with linear cost. In standard procurement auctions, the market power resulting from the…

Theoretical Economics · Economics 2019-07-25 Benjamin Heymann , Alejandro Jofré