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Dispatchability of renewable energy sources and inflexible loads can be achieved using a volatility-compensating energy storage. However, as the future power outputs of the inflexible devices are uncertain, the computation of a dispatch…

系统与控制 · 计算机科学 2018-05-25 R. R. Appino , J. Á. González Ordiano , R. Mikut , V. Hagenmeyer , T. Faulwasser

We consider the problem of preparing for a disaster season by determining where to open warehouses and how much relief item inventory to preposition in each. Then, after each disaster, prepositioned items are distributed to demand nodes…

最优化与控制 · 数学 2022-07-04 Karmel S. Shehadeh , Emily L. Tucker

Day-ahead scheduling of electricity generation or unit commitment is an important and challenging optimization problem in power systems. Variability in net load arising from the increasing penetration of renewable technologies have…

最优化与控制 · 数学 2018-08-06 Ali Irfan Mahmutogullari , Shabbir Ahmed , Ozlem Cavus , M. Selim Akturk

We consider a class of multi-stage robust covering problems, where additional information is revealed about the problem instance in each stage, but the cost of taking actions increases. The dilemma for the decision-maker is whether to wait…

数据结构与算法 · 计算机科学 2013-02-25 Anupam Gupta , Viswanath Nagarajan , Vijay V. Vazirani

We present a method to solve two-stage stochastic problems with fixed recourse when the uncertainty space can have either discrete or continuous distributions. Given a partition of the uncertainty space, the method is addressed to solve a…

最优化与控制 · 数学 2021-05-11 Cristian Ramirez-Pico , Eduardo Moreno

In this paper, we study the performance of affine policies for two-stage adjustable robust optimization problem with fixed recourse and uncertain right hand side belonging to a budgeted uncertainty set. This is an important class of…

最优化与控制 · 数学 2019-06-04 Omar El Housni , Vineet Goyal

This paper studies two-stage distributionally robust conic linear programming under constraint uncertainty over type-1 Wasserstein balls. We present optimality conditions for the dual of the worst-case expectation problem, which…

最优化与控制 · 数学 2024-02-06 Geunyeong Byeon , Kaiwen Fang , Kibaek Kim

We revisit the discrete heterogeneous two-facility location problem, in which there is a set of agents that occupy nodes of a line graph, and have private approval preferences over two facilities. When the facilities are located at some…

计算机科学与博弈论 · 计算机科学 2021-09-10 Panagiotis Kanellopoulos , Alexandros A. Voudouris , Rongsen Zhang

We propose an approach based on machine learning to solve two-stage linear adaptive robust optimization (ARO) problems with binary here-and-now variables and polyhedral uncertainty sets. We encode the optimal here-and-now decisions, the…

机器学习 · 计算机科学 2026-04-21 Dimitris Bertsimas , Cheol Woo Kim

Algorithms with predictions have attracted much attention in the last years across various domains, including variants of facility location, as a way to surpass traditional worst-case analyses. We study the $k$-facility location mechanism…

计算机科学与博弈论 · 计算机科学 2024-03-20 Zohar Barak , Anupam Gupta , Inbal Talgam-Cohen

A standard type of uncertainty set in robust optimization is budgeted uncertainty, where an interval of possible values for each parameter is given and the total deviation from their lower bounds is bounded. In the two-stage setting,…

最优化与控制 · 数学 2026-02-19 Marc Goerigk , Dorothee Henke , Lasse Wulf

We study single-stage decision problems in which a subset of items with minimum total cost has to be selected at once from a given set of items, subject to two costs of each item -fixed and uncertain -and cardinality constraints for each…

最优化与控制 · 数学 2025-11-04 Antoine Lhomme , Nadia Brauner , Evgeny Gurevsky , Mikhail Kovalyov , Erwin Pesch

The problem of assigning agents to tasks is a central computational challenge in many multi-agent autonomous systems. However, in the real world, agents are not always perfect and may fail due to a number of reasons. A motivating…

机器人学 · 计算机科学 2020-07-02 Russell Schwartz , Pratap Tokekar

Two-stage risk-averse distributionally robust optimization (DRO) problems are ubiquitous across many engineering and business applications. Despite their promising resilience, two-stage DRO problems are generally computationally…

最优化与控制 · 数学 2024-12-24 Yue Lin , Daniel Zhuoyu Long , Viet Anh Nguyen , Jin Qi

We study mechanisms for the facility location problem augmented with predictions of the optimal facility location. We demonstrate that an egalitarian viewpoint which considers both the maximum distance of any agent from the facility and the…

计算机科学与博弈论 · 计算机科学 2025-08-07 Toby Walsh

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…

最优化与控制 · 数学 2026-04-30 Simon Thomä , Maximilian Schiffer , Wolfram Wiesemann

Flexibility is a cornerstone of operations management, crucial to hedge stochasticity in product demands, service requirements, and resource allocation. In two-sided platforms, flexibility is also two-sided and can be viewed as the…

综合经济学 · 经济学 2026-03-24 Daniel Freund , Sébastien Martin , Jiayu Kamessi Zhao

In this paper, we develop a two-stage data-driven approach to address the adjustable robust optimization problem, where the uncertainty set is adjustable to manage infeasibility caused by significant or poorly quantified uncertainties. In…

最优化与控制 · 数学 2025-05-29 Xiaoxing Ren , Alessio Moreschini , Zhongda Chu , Yulong Gao , Thomas Parisini

This paper presents an analysis of the stability and quality of the distributed generation planning problem's investment solution. The entry of distributed generators power based on non-conventional energy sources has been extensively…

系统与控制 · 电气工程与系统科学 2021-03-31 Luis Lopez , Alvaro Gonzalez-Castellanos , David Pozo

Server deployment is a fundamental task in mobile edge computing: where to place the edge servers and what user cells to assign to them. To make this decision is context-specific, but common goals are 1) computing efficiency: maximize the…

分布式、并行与集群计算 · 计算机科学 2025-12-17 Duc A. Tran , Dung Truong , Duy Le