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In this paper we propose a novel adaptive online optimization algorithm tailored to the management of microgrids with high renewable energy penetration, which can be formulated as a constrained, online optimization problem. The proposed…

Optimization and Control · Mathematics 2025-12-05 Wouter J. A. van Weerelt , Angela Fontan , Nicola Bastianello

This paper proposes a variational framework for multi-objective level set topology optimization. The approach interprets the level set function as a generalized coordinate of a fictitious material and derives its equation of motion from…

Optimization and Control · Mathematics 2026-03-25 Jan Oellerich , Takayuki Yamada

During the past two decades, multi-agent optimization problems have drawn increased attention from the research community. When multiple objective functions are present among agents, many works optimize the sum of these objective functions.…

Multiagent Systems · Computer Science 2020-10-13 M. J. Blondin , M. T. Hale

As net-load becomes less predictable there is a lot of pressure in changing decision models for power markets such that they account explicitly for future scenarios in making commitment decisions. This paper proposes to make commitment…

Optimization and Control · Mathematics 2016-12-21 Bita Analui , Anna Scaglione

Multiobjective combinatorial optimization (MOCO) problems can be found in many real-world applications. However, exactly solving these problems would be very challenging, particularly when they are NP-hard. Many handcrafted heuristic…

Machine Learning · Computer Science 2022-05-10 Xi Lin , Zhiyuan Yang , Qingfu Zhang

Energy consumption is a major concern in multicore systems. Perhaps the simplest strategy for reducing energy costs is to use only as many cores as necessary while still being able to deliver a desired quality of service. Motivated by…

Logic in Computer Science · Computer Science 2017-04-17 Sanjiva Prasad

The main goal of this paper is to design a market operator (MO) and a distribution network operator (DNO) for a network of microgrids in consideration of multiple objectives. This is a high-level design and only those microgrids with…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Wei-Yu Chiu , Hongjian Sun , H. Vincent Poor

Numerous multi-objective optimization problems encounter with a number of fitness functions to be simultaneously optimized of which their mutual preferences are not inherently known. Suffering from the lack of underlying generative models,…

Image and Video Processing · Electrical Eng. & Systems 2020-11-20 Arash Broumand

In model predictive control (MPC) an optimization problem has to be solved at each time step, which in real-time applications makes it important to solve these optimization problems efficiently and to have good upper bounds on worst-case…

Optimization and Control · Mathematics 2020-04-13 Daniel Arnström , Daniel Axehill

Valve-point loading affects the input-output characteristics of generating units, bringing the fuel costs nonlinear and nonsmooth. This has been considered in the solution of load dispatch problems, but not in the planning phase of unit…

Optimization and Control · Mathematics 2014-04-22 João Pedro Pedroso , Mikio Kubo , Ana Viana

Bayesian optimization is a popular tool for data-efficient optimization of expensive objective functions. In real-life applications like engineering design, the designer often wants to take multiple objectives as well as input uncertainty…

Artificial Intelligence · Computer Science 2022-02-28 J. Qing , I. Couckuyt , T. Dhaene

We consider the problem of constrained multi-objective blackbox optimization using expensive function evaluations, where the goal is to approximate the true Pareto set of solutions satisfying a set of constraints while minimizing the number…

Machine Learning · Computer Science 2020-11-24 Syrine Belakaria , Aryan Deshwal , Janardhan Rao Doppa

In this article we develop a gradient-based algorithm for the solution of multiobjective optimization problems with uncertainties. To this end, an additional condition is derived for the descent direction in order to account for…

Optimization and Control · Mathematics 2018-08-02 Sebastian Peitz , Michael Dellnitz

When working with decomposition-based algorithms, an appropriate set of weights might improve quality of the final solution. A set of uniformly distributed weights usually leads to well-distributed solutions on a Pareto front. However,…

Neural and Evolutionary Computing · Computer Science 2020-03-26 Lucas R. C. de Farias , Pedro H. M. Braga , Hansenclever F. Bassani , Aluizio F. R. Araújo

When tuning software configuration for better performance (e.g., latency or throughput), an important issue that many optimizers face is the presence of local optimum traps, compounded by a highly rugged configuration landscape and…

Software Engineering · Computer Science 2024-04-09 Tao Chen , Miqing Li

To solve real-world expensive constrained multi-objective optimization problems (ECMOPs), surrogate/approximation models are commonly incorporated in evolutionary algorithms to pre-select promising candidate solutions for evaluation.…

Neural and Evolutionary Computing · Computer Science 2024-05-24 Kamrul Hasan Rahi

Numerous multi-objective evolutionary algorithms have been designed for constrained optimisation over past two decades. The idea behind these algorithms is to transform constrained optimisation problems into multi-objective optimisation…

Optimization and Control · Mathematics 2020-03-24 Tao Xu , Jun He , Changjing Shang

Particle accelerators are enabling tools for scientific exploration and discovery in various disciplines. Finding optimized operation points for these complex machines is a challenging task, however, due to the large number of parameters…

Accelerator Physics · Physics 2021-07-02 Renato Bellotti , Romana Boiger , Andreas Adelmann

This paper connects discrete optimal transport to a certain class of multi-objective optimization problems. In both settings, the decision variables can be organized into a matrix. In the multi-objective problem, the notion of Pareto…

Optimization and Control · Mathematics 2017-12-04 Johannes M. Schumacher

We formulate and analyze a goal-oriented adaptive finite element method for a symmetric linear elliptic partial differential equation (PDE) that can simultaneously deal with multiple linear goal functionals. In each step of the algorithm,…

Numerical Analysis · Mathematics 2026-01-06 Roland Becker , Maximilian Brunner , Paula Hilbert , Michael Innerberger , Dirk Praetorius