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In this paper, we investigate the constraint typology of mixed-integer linear programming MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life scheduling, routing, planning,…

Artificial Intelligence · Computer Science 2021-03-02 Vicky Mak-Hau , John Yearwood , William Moran

Modern buildings are increasingly interconnected with occupancy, heating, ventilation, and air-conditioning (HVAC) systems, distributed energy resources (DERs), and power grids. Modeling, control, and optimization of such multi-domain…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Zixin Jiang , Ruizhi Song , Guowen Li , Yuhang Zhang , Zheng O'Neill , Xuezheng Wang , Judah Goldfeder , Bing Dong

Energy systems planning models identify least-cost strategies for expansion and operation of energy systems and provide decision support for investment, planning, regulation, and policy. Most are formulated as linear programming (LP) or…

Optimization and Control · Mathematics 2025-01-08 Anna Jacobson , Filippo Pecci , Nestor Sepulveda , Qingyu Xu , Jesse Jenkins

Reducing the fuel load in fire-prone landscapes is aimed at mitigating the risk of catastrophic wildfires but there are ecological consequences. Maintaining habitat for fauna of both sufficient extent and connectivity while fragmenting…

Optimization and Control · Mathematics 2017-01-19 Ramya Rachmawati , Melih Ozlen , John W. Hearne , Karin J. Reinke

This review explores the application of intelligent optimization algorithms to Multi-Objective Optimal Power Flow (MOPF) in enhancing modern power systems. It delves into the challenges posed by the integration of renewables, smart grids,…

Neural and Evolutionary Computing · Computer Science 2024-08-06 Yuyan Li

Resilience and robustness are important properties in the reliability and attack-tolerance analysis of networks. In recent decades, various qualitative and heuristic-based quantitative approaches have made significant contributions in…

Optimization and Control · Mathematics 2022-12-15 Milad Dehghani Filabadi

We consider the problem of optimally designing a system for repeated use under uncertainty. We develop a modeling framework that integrates design and operational phases, which are represented by a mixed-integer program and discounted-cost…

Optimization and Control · Mathematics 2024-03-25 Seth Brown , Saumya Sinha , Andrew J Schaefer

We establish a broad methodological foundation for mixed-integer optimization with learned constraints. We propose an end-to-end pipeline for data-driven decision making in which constraints and objectives are directly learned from data…

Optimization and Control · Mathematics 2023-10-30 Donato Maragno , Holly Wiberg , Dimitris Bertsimas , S. Ilker Birbil , Dick den Hertog , Adejuyigbe Fajemisin

The necessary decarbonization efforts in energy sectors entail the integration of flexibility assets, as well as increased levels of uncertainty for the planning and operation of power systems. To cope with this in a cost-effective manner,…

Systems and Control · Electrical Eng. & Systems 2024-09-25 Stefan Borozan , Spyros Giannelos , Paola Falugi , Alexandre Moreira , Goran Strbac

Corrective Transmission Switching can be used by the grid operator to relieve line overloading and voltage violations, improve system reliability, and reduce system losses. Power grid optimization by means of line switching is typically…

Systems and Control · Computer Science 2018-03-19 Shuai Wang , John Baillieul

The operation of industrial facilities is a broad field for optimization. Industrial plants are often a) composed of several components, b) linked using network technology, c) physically interconnected and d) complex regarding the effect of…

Systems and Control · Electrical Eng. & Systems 2022-06-30 Gregor Thiele , Theresa Johanni , David Sommer , Jörg Krüger

Computing systems have undergone several inflexion points - while Moore's law guided the semiconductor industry to cram more and more transistors and logic into the same volume, the limits of instruction-level parallelism (ILP) and the end…

Hardware Architecture · Computer Science 2022-03-24 Rajeev Muralidhar , Renata Borovica-Gajic , Rajkumar Buyya

Maintaining instantaneous balance between electricity supply and demand is critical for reliability and grid instability. System operators achieve this through solving the task of Unit Commitment (UC),ca high dimensional large-scale…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Muhy Eddin Za'ter , Anna Van Boven , Bri-Mathias Hodge , Kyri Baker

Today's fast linear algebra and numerical optimization tools have pushed the frontier of model predictive control (MPC) forward, to the efficient control of highly nonlinear and hybrid systems. The field of hybrid MPC has demonstrated that…

Optimization and Control · Mathematics 2020-05-11 Jia-Jie Zhu , Georg Martius

In this paper, we explore model-based approach to training robust and interpretable binarized regression models for multiclass classification tasks using Mixed-Integer Programming (MIP). Our MIP model balances the optimization of prediction…

Machine Learning · Computer Science 2022-03-22 Sanjana Tule , Nhi Ha Lan Le , Buser Say

Mixed-integer optimization is at the core of many online decision-making systems that demand frequent updates of decisions in real time. However, due to their combinatorial nature, mixed-integer linear programs (MILPs) can be difficult to…

Optimization and Control · Mathematics 2026-04-21 Shivi Dixit , Rishabh Gupta , Qi Zhang

We study a two-stage mixed-integer linear program (MILP) with more than 1 million binary variables in the second stage. We develop a two-level approach by constructing a semi-coarse model (coarsened with respect to variables) and a coarse…

Optimization and Control · Mathematics 2015-04-20 Fu Lin , Sven Leyffer , Todd Munson

This paper presents a scaling study on the planning phase of a multi-energy system (MES), which is becoming increasingly prominent in the energy sector. The research aims to investigate the interactions and challenges associated with…

Computational Engineering, Finance, and Science · Computer Science 2024-10-24 Jan Soeren Schwarz , Minh Cong Pham , Quoc Tuan Tran , Kai Heussen

The energy efficiency of future networks is becoming a significant and urgent issue, calling for greener network designs. At the same time, rapid development of wireless networks shows a trend of increasing complexity in network structure…

Networking and Internet Architecture · Computer Science 2017-06-08 Lu Liu , Yu Cheng , Xianghui Cao , Sheng Zhou , Zhisheng Niu , Ping Wang

Demand response services at the distribution level are emerging as enabling strategies for improving grid reliability in the presence of intermittent renewable generation and grid congestion. For residential loads, space heating and…

Optimization and Control · Mathematics 2025-05-22 Erhan Can Ozcan , Emiliano Dall'Anese , Ioannis Ch. Paschalidis