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System performance for networks composed of interconnected subsystems can be increased if the traditionally separated subsystems are jointly optimized. Recently, parallel and distributed optimization methods have emerged as a powerful tool…

Optimization and Control · Mathematics 2013-02-14 Ion Necoara , Valentin Nedelcu , Ioan Dumitrache

Energy system models based on linear programming have been growing in size with the increasing need to model renewables with high spatial and temporal detail. Larger models lead to high computational requirements. Furthermore, seemingly…

Physics and Society · Physics 2022-11-23 Manuel Bröchin , Bryn Pickering , Tim Tröndle , Stefan Pfenninger

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

Stochastic programming can be applied to consider uncertainties in energy system optimization models for capacity expansion planning. However, these models become increasingly large and time-consuming to solve, even without considering…

Optimization and Control · Mathematics 2025-08-15 Shima Sasanpour , Manuel Wetzel , Karl-Kiên Cao , Hans Christian Gils , Andrés Ramos

Multi-sector capacity expansion models play a crucial role in energy planning by providing decision support for policymaking in technology development. To ensure reliable support, these models require high technological, spatial, and…

Optimization and Control · Mathematics 2025-04-14 Federico Parolin , Yu Weng , Paolo Colbertaldo , Ruaridh Macdonald

In this paper, we aim to solve the system of equations governing linear elasticity in parallel using domain decomposition. Through a non-overlapping decomposition of the domain, our approach aims to target the resulting interface problem,…

Optimization and Control · Mathematics 2015-01-29 James Turner , Michal Kocvara , Daniel Loghin

The accelerating technological landscape and drive towards net-zero emission made the power system grow in scale and complexity. Serial computational approaches for grid planning and operation struggle to execute necessary calculations…

Systems and Control · Electrical Eng. & Systems 2022-07-07 Ahmed Al-Shafei , Hamidreza Zareipour , Yankai Cao

The integration of more renewable energy sources into the power system is presenting system operators with various challenges. At the distribution system level, voltage magnitudes that violate operating limits near large photovoltaic…

Optimization and Control · Mathematics 2022-01-05 Sandro Merkli , Roy S. Smith

We provide a multilevel approach for analysing performances of parallel algorithms. The main outcome of such approach is that the algorithm is described by using a set of operators which are related to each other according to the problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-18 Luisa D'Amore , Valeria Mele , Diego Romano , Giuliano Laccetti

Although energy system optimisation based on linear optimisation is often used for influential energy outlooks and studies for political decision-makers, the underlying background still needs to be described in the scientific literature in…

Optimization and Control · Mathematics 2023-08-07 Sebastian Miehling , Andreas Hanel , Jerry Lambert , Sebastian Fendt , Hartmut Spliethoff

Recent developments in decomposition methods for multi-stage stochastic programming with block separable recourse enable the solution to large-scale stochastic programs with multi-timescale uncertainty. Multi-timescale uncertainty is…

Optimization and Control · Mathematics 2024-09-04 Hongyu Zhang , Erlend Heir , Asbjørn Nisi , Asgeir Tomasgard

The determination of environmentally- and economically-optimal energy system designs and operations is complex. In particular, the integration of weather-dependent renewable energy technologies into energy system optimization models…

Decarbonizing the energy sector is one of the main challenges to combat the climate crisis. Cities play an important role to reach climate neutrality as more than 70% of global CO2 emissions originate from urban areas. Decarbonization of…

We consider electricity capacity expansion models, which optimize investment and retirement decisions by minimizing both investment and operation costs. In order to provide credible support for planning and policy decisions, these models…

Optimization and Control · Mathematics 2025-01-08 Filippo Pecci , Jesse D. Jenkins

Linear-parametric optimization, where multiple objectives are combined into a single objective using linear combinations with parameters as coefficients, has numerous links to other fields in optimization and a wide range of application…

Optimization and Control · Mathematics 2025-01-22 Levin Nemesch , Stefan Ruzika , Clemens Thielen , Alina Wittmann

Research attention on decentralized autonomous energy systems has increased exponentially in the past three decades, as demonstrated by the absolute number of publications and the share of these studies in the corpus of energy system…

General Economics · Economics 2020-11-12 Jann Michael Weinand , Fabian Scheller , Russell McKenna

Hybrid parallelism techniques are essential for efficiently training large language models (LLMs). Nevertheless, current automatic parallel planning frameworks often overlook the simultaneous consideration of node heterogeneity and dynamic…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-04 Ruilong Wu , Xinjiao Li , Yisu Wang , Xinyu Chen , Dirk Kutscher

We discuss the parallelization of algorithms for solving polynomial systems symbolically by way of triangular decomposition. Algorithms for solving polynomial systems combine low-level routines for performing arithmetic operations on…

Symbolic Computation · Computer Science 2019-06-04 Mohammadali Asadi , Alexander Brandt , Robert H. C. Moir , Marc Moreno Maza , Yuzhen Xie

The life of the modern world essentially depends on the work of the large artificial homogeneous networks, such as wired and wireless communication systems, networks of roads and pipelines. The support of their effective continuous…

Optimization and Control · Mathematics 2017-01-25 Dmitry Yu. Ignatov , Alexander N. Filippov , Andrey D. Ignatov , Xuecang Zhang

This study addresses the challenge of simulating realistic particle systems by proposing a novel particle decomposition scheme that improves the parallel performance of surface resolved particle simulations. Realistic particle systems often…

Fluid Dynamics · Physics 2024-03-21 J. E. Marquardt , N. Hafen , M. J. Krause
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