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Modeling to generate alternatives (MGA) is an increasingly popular method in energy system optimization. MGA explores the near-optimal space, namely, system alternatives whose costs are within a certain fraction of the globally optimal…

最优化与控制 · 数学 2024-07-01 Christoph S. Funke , Linda Brodnicke , Francesco Lombardi , Giovanni Sansavini

As decarbonization agendas mature, macro-energy systems modelling studies have increasingly focused on enhanced decision support methods that move beyond least-cost modelling to improve consideration of additional objectives and tradeoffs.…

最优化与控制 · 数学 2024-11-26 Michael Lau , Neha Patankar , Jesse D. Jenkins

Decarbonization provides new opportunities to plan energy systems for improved health, resilience, equity, and environmental outcomes, but challenges in siting and social acceptance of transition goals and targets threaten progress.…

最优化与控制 · 数学 2024-11-27 Michael Lau , Xin Wang , Neha Patankar , Jesse D. Jenkins

Energy system optimization models (ESOMs) should be used in an interactive way to uncover knife-edge solutions, explore alternative system configurations, and suggest different ways to achieve policy objectives under conditions of deep…

物理与社会 · 物理学 2019-12-10 Joseph F. DeCarolis , Samaneh Babaee , Binghui Li , Suyash Kanungo

Contemporary macro energy systems modelling is characterized by the need to represent strategic and operational decisions with high temporal and spatial resolution and represent discrete investment and retirement decisions. This drive…

最优化与控制 · 数学 2025-10-31 Michael Lau , Filippo Pecci , Jesse D. Jenkins

Models for long-term investment planning of the power system typically return a single optimal solution per set of cost assumptions. However, typically there are many near-optimal alternatives that stand out due to other attractive…

物理与社会 · 物理学 2020-09-25 Fabian Neumann , Tom Brown

Power systems modeling and planning has long leveraged mathematical programming for its ability to provide optimality and feasibility guarantees. One feature that has been recognized in the optimization literature since the 1970s is the…

最优化与控制 · 数学 2025-11-13 Matthew Viens , J. Kyle Skolfield , William E. Hart , Michael Ferris

Given the urgent need to devise credible, deep strategies for carbon neutrality, approaches for `modelling to generate alternatives' (MGA) are gaining popularity in the energy sector. Yet, MGA faces limitations when applied to…

物理与社会 · 物理学 2023-04-12 Francesco Lombardi , Bryn Pickering , Stefan Pfenninger

Many optimization problems admit a number of local optima, among which there is the global optimum. For these problems, various heuristic optimization methods have been proposed. Comparing the results of these solvers requires the…

人工智能 · 计算机科学 2019-02-18 Gianfranco Chicco , Andrea Mazza

Frequently, the burgeoning field of black-box optimization encounters challenges due to a limited understanding of the mechanisms of the objective function. To address such problems, in this work we focus on the deterministic concept of…

最优化与控制 · 数学 2024-12-30 Aleksandr Lobanov , Alexander Gasnikov , Andrei Krasnov

Optimal design of experiments for correlated processes is an increasingly relevant and active research topic. Present methods have restricted possibilities to judge their quality. To fill this gap, we complement the virtual noise approach…

统计理论 · 数学 2021-10-25 Andrej Pázman , Markus Hainy , Werner G. Müller

A recently introduced general-purpose heuristic for finding high-quality solutions for many hard optimization problems is reviewed. The method is inspired by recent progress in understanding far-from-equilibrium phenomena in terms of {\em…

神经与进化计算 · 计算机科学 2007-05-23 Stefan Boettcher , Allon G. Percus

We propose cloud oracles, an alternative to machine learning for online optimization of cloud configurations. Our cloud oracle approach guarantees complete accuracy and explainability of decisions for problems that can be formulated as…

数据库 · 计算机科学 2023-12-27 Tiemo Bang , Conor Power , Siavash Ameli , Natacha Crooks , Joseph M. Hellerstein

The common use of cost minimisation to support energy system design decisions hides from view many economically comparable design options that stakeholders may prefer. Modelling to generate alternatives (MGA) is increasingly popular as a…

物理与社会 · 物理学 2024-12-05 Francesco Lombardi , Stefan Pfenninger

In this work, we study optimization specified only through a comparison oracle: given two points, it reports which one is preferred. We call it function-free optimization because we do not assume access to, nor the existence of, a canonical…

最优化与控制 · 数学 2026-05-20 Katya Scheinberg , Zikai Xiong

In the field of global optimization, many existing algorithms face challenges posed by non-convex target functions and high computational complexity or unavailability of gradient information. These limitations, exacerbated by sensitivity to…

最优化与控制 · 数学 2023-10-16 Xinyu Zhang , Sujit Ghosh

Cutting plane methods, particularly outer approximation, are a well-established approach for solving nonlinear discrete optimization problems without relaxing the integrality of decision variables. While powerful in theory, their…

最优化与控制 · 数学 2025-11-04 Hòa T. Bùi , Alberto De Marchi

Industrial decision-makers often base decisions on mathematical optimization models to achieve cost-efficient design solutions in energy transitions. However, since a model can only approximate reality, the optimal solution is not…

最优化与控制 · 数学 2025-07-24 Hendrik Schricker , Benedikt Schuler , Christiane Reinert , Niklas von der Aßen

Robust optimization is a common framework in optimization under uncertainty when the problem parameters are not known, but it is rather known that the parameters belong to some given uncertainty set. In the robust optimization framework the…

最优化与控制 · 数学 2014-02-27 Aharon Ben-Tal , Elad Hazan , Tomer Koren , Shie Mannor

Transmission system operators face a variety of discrete operational decisions, such as switching of branches and/or devices. Incorporating these decisions into optimal power flow (OPF) results in mixed-integer non-linear programming…

最优化与控制 · 数学 2025-10-24 Constance Crozier
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