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In this paper we deal with a network of agents seeking to solve in a distributed way Mixed-Integer Linear Programs (MILPs) with a coupling constraint (modeling a limited shared resource) and local constraints. MILPs are NP-hard problems and…

Systems and Control · Computer Science 2020-10-28 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano

We present a distributionally robust optimization (DRO) approach for the transmission expansion planning problem, considering both long- and short-term uncertainties on the system demand and non-dispatchable renewable generation. On the…

Optimization and Control · Mathematics 2020-03-17 Alexandre Velloso , David Pozo , Alexandre Street

Investment planning in power utilities, such as generation and transmission expansion, requires decisions under substantial uncertainty over decade--long horizons for policies, demand, renewable availability, and outages, while maintaining…

Machine Learning · Computer Science 2026-03-17 Nicolas M. Cuadrado A. , Mohannad Takrouri , Jiří Němeček , Martin Takáč , Jakub Mareček

In this paper, we propose a new mixed-integer linear programming (MILP) model ontology and a novel constraint typology of MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life…

Artificial Intelligence · Computer Science 2021-03-02 Bahadorreza Ofoghi , Vicky Mak , John Yearwood

Mathematical models simulate various events under different conditions, enabling an early overview of the system to be implemented in practice, reducing the waste of resources and in less time. In project optimization, these models play a…

Optimization and Control · Mathematics 2021-05-11 Gustavo Barbosa Libotte , Fran Sérgio Lobato , Francisco Duarte Moura Neto , Gustavo Mendes Platt

Mixed Integer Linear Programs (MILPs) are essential tools for solving planning and scheduling problems across critical industries such as construction, manufacturing, and logistics. However, their widespread adoption is limited by long…

Machine Learning · Computer Science 2025-06-10 Xiaoke Wang , Batuhan Altundas , Zhaoxin Li , Aaron Zhao , Matthew Gombolay

With the increasing number of compute components, failures in future exa-scale computer systems are expected to become more frequent. This motivates the study of novel resilience techniques. Here, we extend a recently proposed…

Mathematical Software · Computer Science 2018-04-18 Markus Huber , Ulrich Rüde , Barbara Wohlmuth

The safety and resilience of civil infrastructure systems are increasingly threatened by compounded risks from various hazard events and structural deterioration due to environmental stressors. This study presents a comprehensive…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Sudhir P. Jodha , Konstantinos G. Papakonstantinou

Mixed-integer linear programming (MILP) is widely employed for modeling combinatorial optimization problems. In practice, similar MILP instances with only coefficient variations are routinely solved, and machine learning (ML) algorithms are…

Optimization and Control · Mathematics 2023-03-07 Qingyu Han , Linxin Yang , Qian Chen , Xiang Zhou , Dong Zhang , Akang Wang , Ruoyu Sun , Xiaodong Luo

Increasing emphasis on reliability and resiliency call for advanced distribution system restoration (DSR). The integration of grid sensors, remote controls, and distributed generators (DG) brings about exciting opportunities in DSR. In this…

Optimization and Control · Mathematics 2018-11-13 Manish Kumar Singh , Vassilis Kekatos , Chen-Ching Liu

Collision-tolerant trajectory planning is the consideration that collisions, if they are planned appropriately, enable more effective path planning for robots capable of handling them. A mixed integer programming (MIP) optimization…

Robotics · Computer Science 2016-11-24 Mark L. Mote , Juan-Pablo Afman , Eric Feron

By modeling the uncertainty of spinning reserves provided by energy storage with probabilistic constraints, a new optimal scheduling mode is proposed for minimizing the operating costs of an isolated microgrid (MG) by using…

Signal Processing · Electrical Eng. & Systems 2018-10-04 Yang Li , Zhen Yang , Guoqing Li , Dongbo Zhao , Wei Tian

The ever increasing utilization of sensitive loads in the industrial, commercial and residential areas in distribution networks requires enhanced reliability and quality of supply. This can be achieved thanks to self healing features of…

Optimization and Control · Mathematics 2018-04-18 Hossein Sekhavatmanesh , Rachid Cherkaoui

We introduce a mixed-integer linear programming (MILP) framework capable of determining whether a chemical reaction network possesses the property of being endotactic or strongly endotactic. The network property of being strongly endotactic…

Numerical Analysis · Mathematics 2014-12-16 Matthew D. Johnston , Casian Pantea , Pete Donnell

Covering problems are well-studied in the domain of Operations Research, and, more specifically, in Location Science. When the location space is a network, the most frequent assumption is to consider the candidate facility locations, the…

Optimization and Control · Mathematics 2023-01-18 Mercedes Pelegrín , Liding Xu

Quantifying the potential benefits of microgrids in the design phase can support the transition of passive distribution networks into microgrids. At current, reliability and resilience are the main drivers for this transition. Therefore,…

Optimization and Control · Mathematics 2020-06-12 Raphael Wu , Giovanni Sansavini

To address the power system hardening problem, traditional approaches often adopt robust optimization (RO) that considers a fixed set of concerned contingencies, regardless of the fact that hardening some components actually renders…

Systems and Control · Electrical Eng. & Systems 2025-03-07 Donglai Ma , Xiaoyu Cao , Bo Zeng , Qing-Shan Jia , Chen Chen , Qiaozhu Zhai , Xiaohong Guan

Power distribution networks, especially in North America, are often unbalanced but are designed to keep unbalance levels within the limits specified by IEEE, IEC, and NEMA standards. However, rapid integration of unbalanced devices, such as…

Systems and Control · Electrical Eng. & Systems 2025-01-14 Rahul K. Gupta , Daniel K. Molzahn

The functioning of interdependent civil infrastructure systems in the aftermath of a disruptive event is critical to the performance and vitality of any modern urban community. Post-event stressors and chaotic circumstances, time…

Computers and Society · Computer Science 2018-06-25 Saeed Nozhati , Bruce R. Ellingwood , Hussam Mahmoud , Yugandhar Sarkale , Edwin K. P. Chong , Nathanael Rosenheim

Risk assessment tools in healthcare commonly employ point-based scoring systems that map patients to ordinal risk categories via thresholds. While electronic health record (EHR) data presents opportunities for data-driven optimization of…

Machine Learning · Computer Science 2026-04-20 Fardin Ganjkhanloo , Emmett Springer , Erik H. Hoyer , Daniel L. Young , Kimia Ghobadi