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Robust optimization (RO) tackles data uncertainty by optimizing for the worst-case scenario of an uncertain parameter and, in its basic form, is sometimes criticized for producing overly-conservative solutions. To reduce the level of…

最优化与控制 · 数学 2022-02-21 Milad Dehghani Filabadi , Houra Mahmoudzadeh

In this paper, we solve the multiple product price optimization problem under interval uncertainties of the price sensitivity parameters in the demand function. The objective of the price optimization problem is to maximize the overall…

最优化与控制 · 数学 2021-07-01 Mahdi Hamzeei , Alvin Lim , Jiefeng Xu

This work studies equilibrium problems under uncertainty where firms maximize their profits in a robust way when selling their output. Robust optimization plays an increasingly important role when best guaranteed objective values are to be…

最优化与控制 · 数学 2022-02-24 Christian Biefel , Frauke Liers , Jan Rolfes , Lars Schewe , Gregor Zöttl

In day-ahead electricity markets based on uniform marginal pricing, small variations in the offering and bidding curves may substantially modify the resulting market outcomes. In this work, we deal with the problem of finding the optimal…

应用统计 · 统计学 2024-07-01 António Alcántara , Carlos Ruiz

Optimization models have been broadly used within side the energy industry as useful decision-making systems for scheduling and dispatching electric powered energy resources; this is applied in a system called unit commitment (UC). Unit…

最优化与控制 · 数学 2022-04-01 Angel Zambrano

Robust optimization(RO) is an important tool for handling optimization problem with uncertainty. The main objective of RO is to solve optimization problems due to uncertainty associated with constraints satisfying all realizations of…

最优化与控制 · 数学 2025-04-02 Parthasarathi Mondal , Akshay Kumar Ojha

We focus on robust, survivable communication networks, where network links and nodes are affected by an uncertainty set. In this sense, any network links might fail. Besides, a signal can only travel a maximum distance before its quality…

网络与互联网体系结构 · 计算机科学 2026-02-12 Mohammad Khosravi , Setareh Maghsudi

Optimizing a building's energy supply design is a task with multiple competing criteria, where not only monetary but also, for example, an environmental objective shall be taken into account. Moreover, when deciding which storages and…

最优化与控制 · 数学 2024-07-26 Elisabeth Halser , Elisabeth Finhold , Neele Leithäuser , Tobias Seidel , Karl-Heinz Küfer

The rapid expansion of wind and solar energy leads to an increasing volatility in the electricity generation. Previous studies have shown that storage devices provide an opportunity to balance fluctuations in the power grid. An economical…

最优化与控制 · 数学 2017-11-06 Lars Siemer , Wided Medjroubi

A robust power scheduling algorithm is proposed to schedule power flow between the main electricity grid and a microgird with solar energy generation and battery energy storage subject to uncertainty in solar energy production. To avoid…

系统与控制 · 计算机科学 2019-02-22 Amir Valibeygi , Abdulelah H. Habib , Raymond A. de Callafon

In order to protect the environment and address fossil fuel scarcity, renewable energy is increasingly used for power generation. However, due to the uncertainties it brings to electricity production, deterministic optimization is no longer…

最优化与控制 · 数学 2022-12-13 Shuhan Lyu

The increase of renewables in the grid and the volatility of the load create uncertainties in the day-ahead prices of electricity markets. Adaptive robust optimization (ARO) and stochastic optimization have been used to make commitment and…

最优化与控制 · 数学 2023-09-18 Dimitris Bertsimas , Angelos G. Koulouras

We consider a robust optimization problem in an electric power system under uncertain demand and availability of renewable energy resources. Solving the deterministic alternating current optimal power flow (ACOPF) problem has been…

最优化与控制 · 数学 2021-02-16 Chaithanya Bandi , Krishnamurthy Dvijotham , David Morton , Haoxiang Yang

Robust optimization is a method for optimization under uncertainties in engineering systems and designs for applications ranging from aeronautics to nuclear. In a robust design process, parameter variability (or uncertainty) is incorporated…

统计计算 · 统计学 2022-10-17 Richa Verma , Dinesh Kumar , Kazuma Kobayashi , Syed Alam

The field of portfolio selection is an active research topic, which combines elements and methodologies from various fields, such as optimization, decision analysis, risk management, data science, forecasting, etc. The modeling and…

投资组合管理 · 定量金融 2020-10-28 A. Georgantas

Robust optimization provides a principled and unified framework to model many problems in modern operations research and computer science applications, such as risk measures minimization and adversarially robust machine learning. To use a…

最优化与控制 · 数学 2024-10-04 Hao Hao , Peter Zhang

Electric power grids regularly experience uncertain fluctuations from load demands and renewables, which poses a risk of violating operational limits designed to safeguard the system. In this paper, we consider the robust AC OPF problem…

最优化与控制 · 数学 2021-04-13 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

Increasing the adoption of alternative technologies is vital to ensure a successful transition to net-zero emissions in the manufacturing sector. Yet there is no model to analyse technology adoption and the impact of policy interventions in…

综合经济学 · 经济学 2023-04-21 Tom Savage , Antonio del Rio Chanona , Gbemi Oluleye

This paper proposes a new robust optimization (RO) formulation namely the RO under objective functional uncertainty (ObRO). The ObRO adopts a min-max structure where the inner problem finds the worst-case objective function in a continuous…

最优化与控制 · 数学 2026-05-19 Yue Song , Yuxi Lu , Gang Li , Kairui Feng , Qi Liu

This paper addresses the problem of utility maximization under uncertain parameters. In contrast with the classical approach, where the parameters of the model evolve freely within a given range, we constrain them via a penalty function. We…

最优化与控制 · 数学 2022-03-08 Ivan Guo , Nicolas Langrené , Grégoire Loeper , Wei Ning
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