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This paper introduces a new computational framework to account for uncertainties in day-ahead electricity market clearing process in the presence of demand response providers. A central challenge when dealing with many demand response…

Signal Processing · Electrical Eng. & Systems 2017-12-01 Hao Ming , Le Xie , Marco Campi , Simone Garatti , P. R. Kumar

This paper incorporates a continuous-type network flexibility into chance constrained economic dispatch (CCED). In the proposed model, both power generations and line susceptances are continuous variables to minimize the expected generation…

Systems and Control · Electrical Eng. & Systems 2024-02-27 Yue Song , Tao Liu , David J. Hill

The security-constrained economic dispatch (SCED) problem tries to maintain the reliability of a power network by ensuring that a single failure does not lead to a global outage. The previous research has mainly investigated SCED by…

Systems and Control · Computer Science 2017-06-05 Mohammad H. Hajiesmaili , Desmond Cai , Enrique Mallada

This study focuses on order dispatch decisions within two-echelon supply chains, where order dispatch creates economic shipments to reduce delivery costs. Dispatching orders is often constrained by delivery windows, leading to penalty costs…

Computational Engineering, Finance, and Science · Computer Science 2024-01-09 Khalid Y. Aram

Combinatorial bilevel congestion pricing (CBCP), a variant of the mixed (continuous/discrete) network design problems, seeks to minimize the total travel time experienced by all travelers in a road network, by strategically selecting toll…

Optimization and Control · Mathematics 2025-04-24 Lei Guo , Jiayang Li , Yu Marco Nie , Jun Xie

Future power systems will rely heavily on micro grids with a high share of decentralised renewable energy sources and energy storage systems. The high complexity and uncertainty in this context might make conventional power dispatch…

Systems and Control · Electrical Eng. & Systems 2024-07-17 Michael Eichelbeck , Hannah Markgraf , Matthias Althoff

The success of Constraint Programming relies partly on the global constraints and implementation of the associated filtering algorithms. Recently, new ideas emerged to improve these implementations in practice, especially regarding the all…

Artificial Intelligence · Computer Science 2025-02-06 Margaux Schmied , Jean-Charles Regin

This paper considers a smart grid cyber-security problem analyzing the vulnerabilities of electric power networks to false data attacks. The analysis problem is related to a constrained cardinality minimization problem. The main result…

Optimization and Control · Mathematics 2012-09-18 Kin Cheong Sou , Henrik Sandberg , Karl Henrik Johansson

We survey optimization problems that involve the cardinality of variable vectors in constraints or the objective function. We provide a unified viewpoint on the general problem classes and models, and give concrete examples from diverse…

Optimization and Control · Mathematics 2022-08-09 Andreas M. Tillmann , Daniel Bienstock , Andrea Lodi , Alexandra Schwartz

This paper proposes a convex non-linear cost saving model for optimal economic dispatch in a microgrid. The mod-el incorporates energy storage degradation cost and intermittent renewable generation. Cell degradation cost being a non-linear…

Signal Processing · Electrical Eng. & Systems 2018-04-17 Vikram Bhattacharjee , Irfan Khan

As a fundamental problem in transportation and operations research, the bilevel capacity expansion problem (BCEP) has been extensively studied for decades. In practice, BCEPs are commonly addressed in two stages: first, pre-select a small…

Optimization and Control · Mathematics 2025-09-17 Lei Guo , Jiayang Li

Energy saving is becoming an important issue in the design and use of computer networks. In this work we propose a problem that considers the use of rate adaptation as the energy saving strategy in networks. The problem is modeled as an…

Networking and Internet Architecture · Computer Science 2013-02-04 Lin Wang , Antonio Fernández Anta , Fa Zhang , Chenying Hou , Zhiyong Liu

We propose a risk-sensitive security-constrained economic dispatch (R-SCED) formulation capturing the tradeoff between dispatch cost and resilience against potential line failures, where risk is modeled via the conditional value at risk…

Systems and Control · Electrical Eng. & Systems 2025-02-21 Avinash N. Madavan , Nathan Dahlin , Subhonmesh Bose , Lang Tong

The scenario approach is a general data-driven algorithm to chance-constrained optimization. It seeks the optimal solution that is feasible to a carefully chosen number of scenarios. A crucial step in the scenario approach is to compute the…

Systems and Control · Electrical Eng. & Systems 2020-10-14 Xinbo Geng , Le Xie , M. Sadegh Modarresi

Scenario generation is an effective data-driven method for solving chance-constrained optimization while ensuring desired risk guarantees with a finite number of samples. Crucial challenges in deploying this technique in the real world…

Optimization and Control · Mathematics 2024-01-04 Qian Zhang , Apurv Shukla , Le Xie

The cardinality-constrained mean-variance portfolio problem has garnered significant attention within contemporary finance due to its potential for achieving low risk while effectively managing risks and transaction costs. Instead of…

Optimization and Control · Mathematics 2024-07-15 Ahmad Mousavi , George Michailidis

Load shedding is the last and most expensive control action against system collapse and blackout. Achievement of an efficient emergency control to stabilize the power system following severe disturbances, requires two key objectives. First,…

Optimization and Control · Mathematics 2016-11-30 Bakhtyar Hoseinzadeh , M. Hadi Amini , Claus Leth Bak

We study an extension of the cardinality-constrained knapsack problem wherein each item has a concave piecewise linear utility structure (CCKP), which is motivated by applications such as resource management problems in monitoring and…

Data Structures and Algorithms · Computer Science 2024-02-07 Miao Bai , Carlos Cardonha

In this paper we address cardinality estimation problem which is an important subproblem in query optimization. Query optimization is a part of every relational DBMS responsible for finding the best way of the execution for the given query.…

Databases · Computer Science 2017-11-23 Oleg Ivanov , Sergey Bartunov

A memory-efficient framework is described for the cardinality-constrained structured data-fitting problem. Dual-based atom-identification rules are proposed that reveal the structure of the optimal primal solution from near-optimal dual…

Optimization and Control · Mathematics 2022-07-21 Zhenan Fan , Huang Fang , Michael P. Friedlander
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