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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…

Optimization and Control · Mathematics 2025-10-31 Michael Lau , Filippo Pecci , 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.…

Optimization and Control · Mathematics 2024-11-27 Michael Lau , Xin Wang , Neha Patankar , Jesse D. Jenkins

Decision support methods from operations research are widely used to support complex planning decisions. Within the energy sector, energy system models (ESMs) applying modelling to generate alternatives (MGA) generate large sets of…

General Economics · Economics 2026-05-25 Emily Bergup , Jonas Finke , Sebastian Schär , Valentin Bertsch

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…

Physics and Society · Physics 2023-04-12 Francesco Lombardi , Bryn Pickering , Stefan Pfenninger

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…

Physics and Society · Physics 2019-12-10 Joseph F. DeCarolis , Samaneh Babaee , Binghui Li , Suyash Kanungo

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…

Optimization and Control · Mathematics 2024-07-01 Christoph S. Funke , Linda Brodnicke , Francesco Lombardi , Giovanni Sansavini

Optimization models are fundamental tools for providing quantitative insights to decision-makers. However, models, objectives, and constraints do not capture all real-world factors accurately. Thus, instead of the single optimal solution,…

Optimization and Control · Mathematics 2025-11-20 E. M. Turan , S. Moret , A. Bardow

Multi-criteria decision-making (MCDM) problems involve the evaluation of alternatives based on various minimization and maximization criteria. Similarly, efficiency evaluation (EA) methods assess decision-making units (DMUs) by analyzing…

Optimization and Control · Mathematics 2024-06-11 Fuh-Hwa Franklin Liu , Su-Chuan Shih

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…

Physics and Society · Physics 2020-09-25 Fabian Neumann , Tom Brown

Variable selection is recognized as one of the most critical steps in statistical modeling. The problems encountered in engineering and social sciences are commonly characterized by over-abundance of explanatory variables, non-linearities…

Computation · Statistics 2016-07-14 Ankur Sinha , Pekka Malo , Timo Kuosmanen

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…

Optimization and Control · Mathematics 2025-07-24 Hendrik Schricker , Benedikt Schuler , Christiane Reinert , Niklas von der Aßen

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…

Optimization and Control · Mathematics 2025-10-24 Constance Crozier

This paper proposes an approach based on graph theory and combinatorial enumeration for sizing of movable energy resources (MERs) to improve the resilience of the electric power supply. The proposed approach determines the size and number…

Systems and Control · Electrical Eng. & Systems 2022-12-08 Mukesh Gautam , Eliza Hotchkiss , Mohammed Ben-Idris

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…

Optimization and Control · Mathematics 2025-11-13 Matthew Viens , J. Kyle Skolfield , William E. Hart , Michael Ferris

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…

Physics and Society · Physics 2024-12-05 Francesco Lombardi , Stefan Pfenninger

Existing multi-criteria decision-making (MCDM) methods often face challenges when evaluating a large number of alternatives, leading to skewed results in selecting the optimal choice. Similarly, conventional efficiency analysis (EA)…

Optimization and Control · Mathematics 2026-03-03 Fuh-Hwa Franklin Liu , Su-Chuan Shih

The rising energy demands of machine learning (ML), e.g., implemented in popular variants like retrieval-augmented generation (RAG) systems, have raised significant concerns about their environmental sustainability. While previous research…

Software Engineering · Computer Science 2026-01-13 Zhinuan Guo , Chushu Gao , Justus Bogner

General matrix multiplication (GEMM) on spatial accelerators is highly sensitive to mapping choices in both execution efficiency and energy consumption. However, the mapping space exhibits combinatorial explosion, which makes it extremely…

Hardware Architecture · Computer Science 2026-03-24 Wulve Yang , Hailong Zou , Rui Zhou , Jionghao Zhang , Qiang Li , Gang Li , Yi Zhan , Shushan Qiao

Given a set of celestial bodies, the problem of finding an optimal sequence of swing-bys, deep space manoeuvres (DSM) and transfer arcs connecting the elements of the set is combinatorial in nature. The number of possible paths grows…

Computational Engineering, Finance, and Science · Computer Science 2011-04-26 Matteo Ceriotti , Massimiliano Vasile

Multi-criteria Analysis (MCA) is used to rank alternatives based on various criteria. Key MCA methods, such as Multiple Criteria Decision Making (MCDM) methods, estimate parameters for criteria to compute the performance of each…

Artificial Intelligence · Computer Science 2026-04-14 Fuh-Hwa Franklin Liu , Su-Chuan Shih
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