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This paper addresses two vital issues which are barely discussed in the literature on robust unit commitment (RUC): 1) how much the potential operational loss could be if the realization of uncertainty is beyond the prescribed uncertainty…

Optimization and Control · Mathematics 2016-03-16 Cheng Wang , Feng Liu , Jianhui Wang , Feng Qiu , Wei Wei , Shengwei Mei , Shunbo Lei

Pre-positioning of relief supplies is an important aspect of disaster operations management that aims at decreasing the response time by advancing procurement and storage of needed supplies. In this paper we consider commodity life-time…

Optimization and Control · Mathematics 2022-04-19 Oluwasegun Olanrewaju , Shaolong Hu , Zhijie Sasha Dong

Multi-stage decision-making under uncertainty, where decisions are taken under sequentially revealing uncertain problem parameters, is often essential to faithfully model managerial problems. Given the significant computational challenges…

Optimization and Control · Mathematics 2026-04-30 Simon Thomä , Maximilian Schiffer , Wolfram Wiesemann

The problem of multi-area interchange scheduling under system uncertainty is considered. A new scheduling technique is proposed for a multi-proxy bus system based on stochastic optimization that captures uncertainty in renewable generation…

Optimization and Control · Mathematics 2016-11-16 Yuting Ji , Lang Tong

Maintaining instantaneous balance between electricity supply and demand is critical for reliability and grid instability. System operators achieve this through solving the task of Unit Commitment (UC),ca high dimensional large-scale…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Muhy Eddin Za'ter , Anna Van Boven , Bri-Mathias Hodge , Kyri Baker

The interdependence of electricity and natural gas markets is becoming a major topic in energy research. Integrated energy models are used to assist decision-making for businesses and policymakers addressing challenges of energy transition…

General Finance · Quantitative Finance 2020-09-11 Iegor Riepin , Thomas Möbius , Felix Müsgens

Endogenous, i.e. decision-dependent, uncertainty has received increased interest in the stochastic programming community. In the robust optimization context, however, it has rarely been considered. This work addresses multistage robust…

Optimization and Control · Mathematics 2020-08-27 Wei Feng , Yiping Feng , Qi Zhang

Increasing penetration of highly variable components such as solar generation and electric vehicle charging loads pose significant challenges to keeping three-phase loads balanced in modern distribution systems. Failure to maintain balance…

Optimization and Control · Mathematics 2018-10-02 Xinbo Geng , Swati Gupta , Le Xie

The aim of this paper is to show that in some cases risk averse multistage stochastic programming problems can be reformulated in a form of risk neutral setting. This is achieved by a change of the reference probability measure making…

Optimization and Control · Mathematics 2020-06-26 Rui Peng Liu , Alexander Shapiro

We investigate multi-stage demand uncertainty for the multi-item multi-echelon capacitated lot sizing problem with setup carry-over. Considering a multi-stage decision framework helps to quantify the benefits of being able to adapt…

Optimization and Control · Mathematics 2025-03-28 Manuel Schlenkrich , Jean-François Cordeau , Sophie N. Parragh

The manufacturing industry is under growing pressure to enhance sustainability while preserving economic competitiveness. As a result, manufacturers have been trying to determine how to integrate onsite renewable energy and real-time…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Hongliang Li , Herschel C. Pangborn , Ilya Kovalenko

Influence diagrams are widely employed to represent multi-stage decision problems in which each decision is a choice from a discrete set of alternatives, uncertain chance events have discrete outcomes, and prior decisions may influence the…

Optimization and Control · Mathematics 2022-01-20 Ahti Salo , Juho Andelmin , Fabricio Oliveira

In this paper, we investigate the energy system design problems with the multi-generation technologies, i.e., simultaneous generation of multiple types of energy. We propose a long-term planning model which integrates macro-level strategic…

Optimization and Control · Mathematics 2017-12-07 Qiao-Chu He , Tao Hong

In this paper, we extend the adaptive partition-based approach for solving two-stage stochastic programs with fixed recourse to the multistage stochastic programming setting. The proposed algorithms integrate the adaptive partition-based…

Optimization and Control · Mathematics 2019-08-30 Murwan Siddig , Yongjia Song

The frequency of wildfire disasters has surged five-fold in the past 50 years due to climate change. Preemptive de-energization is a potent strategy to mitigate wildfire risks but substantially impacts customers. We propose a multistage…

Optimization and Control · Mathematics 2024-04-10 Hanbin Yang , Noah Rhodes , Haoxiang Yang , Line Roald , Lewis Ntaimo

We propose an enhancement to wholesale electricity markets whereby the exposure of consumers to increasingly large and volatile consumer payments arising as a byproduct of volatile real-time net loads -- i.e., loads minus renewable outputs…

Optimization and Control · Mathematics 2024-08-13 Daniel Bienstock , Yury Dvorkin , Cheng Guo , Robert Mieth , Jiayi Wang

This paper introduces a novel multi-stage decision-making model that integrates hypothesis testing and dynamic programming algorithms to address complex decision-making scenarios.Initially,we develop a sampling inspection scheme that…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Ziyang Liu , Yurui Hu , Yihan Deng

Motivated by the current research in data centers and cloud computing, we study the problem of scheduling a set of two-stage jobs on multiple two-stage flowshops. A new formulation for configurations of such scheduling is proposed, which…

Data Structures and Algorithms · Computer Science 2018-01-30 Guangwei Wu , Jianer Chen , Jianxin Wang

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…

Optimization and Control · Mathematics 2023-09-18 Dimitris Bertsimas , Angelos G. Koulouras

Currently, system operators implement demand response by dispatching controllable loads for economic reasons in day-ahead scheduling. Particularly, demand shifting from peak hours when the cost of electricity is higher to non-peak hours to…

Optimization and Control · Mathematics 2020-06-23 Arun Venkatesh Ramesh , Xingpeng Li
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