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In this paper, we compare the performance of two scenario-based numerical methods to solve stochastic optimal control problems: scenario trees and particles. The problem consists in finding strategies to control a dynamical system perturbed…

Optimization and Control · Mathematics 2010-02-10 Pierre Girardeau

We present a distributed generic algorithm called DAMS dedicated to adaptive optimization in distributed environments. Given a set of metaheuristic, the goal of DAMS is to coordinate their local execution on distributed nodes in order to…

Neural and Evolutionary Computing · Computer Science 2012-07-19 Bilel Derbel , Sébastien Verel

We consider the distributed optimization problem for a multi-agent system. Here, multiple agents cooperatively optimize an objective by sharing information through a communication network and performing computations. In this tutorial, we…

Optimization and Control · Mathematics 2023-09-21 Bryan Van Scoy , Laurent Lessard

We propose a scalable, distributed algorithm for the optimal transport of large-scale multi-agent systems. We formulate the problem as one of steering the collective towards a target probability measure while minimizing the total cost of…

Optimization and Control · Mathematics 2024-09-10 Vishaal Krishnan , Sonia Martínez

Outage scheduling aims at defining, over a horizon of several months to years, when different components needing maintenance should be taken out of operation. Its objective is to minimize operation-cost expectation while satisfying…

Computational Engineering, Finance, and Science · Computer Science 2018-01-03 Gal Dalal , Elad Gilboa , Shie Mannor , Louis Wehenkel

Renewable prosumers face the complex challenge of balancing self-sufficiency with seamless grid and market integration. This paper introduces a novel prosumers network framework aimed at mitigating peak loads in Iran, particularly under the…

Optimization and Control · Mathematics 2024-09-04 Amir Noori , Babak Tavassoli , Alireza Fereidunian

The integration of intermittent and stochastic renewable energy resources requires increased flexibility in the operation of the electric grid. Storage, broadly speaking, provides the flexibility of shifting energy over time; network, on…

Optimization and Control · Mathematics 2014-11-05 Junjie Qin , Yinlam Chow , Jiyan Yang , Ram Rajagopal

We consider the joint design and control of discrete-time stochastic dynamical systems over a finite time horizon. We formulate the problem as a multi-step optimization problem under uncertainty seeking to identify a system design and a…

Machine Learning · Computer Science 2022-01-07 Adrien Bolland , Ioannis Boukas , Mathias Berger , Damien Ernst

This paper aims to propose a two-step approach for day-ahead hourly scheduling in a distribution system operation, which contains two operation costs, the operation cost at substation level and feeder level. In the first step, the objective…

Systems and Control · Computer Science 2017-11-30 Yi Gu , Huaiguang Jiang , Jun Jason Zhang , Yingchen Zhang , Eduard Muljadi , Francisco J. Solis

In this paper, we present an Uzawa-based heuristic that is adapted to some type of stochastic optimal control problems. More precisely, we consider dynamical systems that can be divided into small-scale independent subsystems, though linked…

Optimization and Control · Mathematics 2009-03-09 Kengy Barty , Pierre Carpentier , Pierre Girardeau

This paper studies a crucial problem in power system balancing control, i.e., the multi-time slot economic dispatch (MTSED) problem, for power grids with substantial renewables, synchronous generators (SGs), and energy storage devices…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Luwei Yang , Tao Liu , David J. Hill

In collective systems, the available agents are a limited resource that must be allocated among tasks to maximize collective performance. Computing the optimal allocation of several agents to numerous tasks through a brute-force approach…

Robotics · Computer Science 2025-12-30 Simay Atasoy Bingöl , Tobias Töpfer , Sven Kosub , Heiko Hamann , Andreagiovanni Reina

Multidimensional scaling (MDS) is a popular dimensionality reduction techniques that has been widely used for network visualization and cooperative localization. However, the traditional stress minimization formulation of MDS necessitates…

Optimization and Control · Mathematics 2016-12-22 Ketan Rajawat , Sandeep Kumar

A number of optimal decision problems with uncertainty can be formulated into a stochastic optimal control framework. The Least-Squares Monte Carlo (LSMC) algorithm is a popular numerical method to approach solutions of such stochastic…

Computational Finance · Quantitative Finance 2019-01-23 Zhiyi Shen , Chengguo Weng

In order to solve complex, long-horizon tasks, intelligent robots need to carry out high-level, abstract planning and reasoning in conjunction with motion planning. However, abstract models are typically lossy and plans or policies computed…

Robotics · Computer Science 2022-05-27 Naman Shah , Siddharth Srivastava

We present new algorithms and fast implementations to find efficient approximations for modelling stochastic processes. For many numerical computations it is essential to develop finite approximations for stochastic processes. While the…

Optimization and Control · Mathematics 2020-12-03 Kipngeno Benard Kirui , Georg Ch. Pflug , Alois Pichler

The co-optimization of behind-the-meter distributed energy resources is considered for prosumers under the net energy metering tariff. The distributed energy resources considered include renewable generations, flexible demands, and battery…

Systems and Control · Electrical Eng. & Systems 2024-07-11 Ahmed S. Alahmed , Lang Tong , Qing Zhao

We investigate Monte Carlo based algorithms for solving stochastic control problems with probabilistic constraints. Our motivation comes from microgrid management, where the controller tries to optimally dispatch a diesel generator while…

Optimization and Control · Mathematics 2024-02-06 Alessandro Balata , Michael Ludkovski , Aditya Maheshwari , Jan Palczewski

In this paper, we deal with risk evaluation and risk-averse optimization of complex distributed systems with general risk functionals. We postulate a novel set of axioms for the functionals evaluating the total risk of the system. We derive…

Optimization and Control · Mathematics 2023-11-20 Aray Almen , Darinka Dentcheva

Distributed algorithms, particularly Diffusion Least Mean Square, are widely favored for their reliability, robustness, and fast convergence in various industries. However, limited observability of the target can compromise the integrity of…

Signal Processing · Electrical Eng. & Systems 2023-10-18 Mahdi Shamsi , Farokh Marvasti
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