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This work proposes a framework for multistage adjustable robust optimization that unifies the treatment of three different types of endogenous uncertainty, where decisions, respectively, (i) alter the uncertainty set, (ii) affect the…

最优化与控制 · 数学 2020-08-31 Qi Zhang , Wei Feng

Organizations around the world schedule jobs (programs) regularly to perform various tasks dictated by their end users. With the major movement towards using a cloud computing infrastructure, our organization follows a hybrid approach with…

分布式、并行与集群计算 · 计算机科学 2025-07-23 Sunandita Patra , Mehtab Pathan , Mahmoud Mahfouz , Parisa Zehtabi , Wided Ouaja , Daniele Magazzeni , Manuela Veloso

One way to make decisions under uncertainty is to select an optimal option from a possible range of options, by maximizing the expected utilities derived from a probability model. However, under severe uncertainty, identifying precise…

统计理论 · 数学 2024-03-06 Nawapon Nakharutai , Sébastien Destercke , Matthias C. M. Troffaes

$ $In many optimization problems, a feasible solution induces a multi-dimensional cost vector. For example, in load-balancing a schedule induces a load vector across the machines. In $k$-clustering, opening $k$ facilities induces an…

数据结构与算法 · 计算机科学 2018-11-14 Deeparnab Chakrabarty , Chaitanya Swamy

We study the single machine scheduling problem with the objective to minimize the total weight of late jobs. It is assumed that the processing times of jobs are not exactly known at the time when a complete schedule must be dispatched.…

离散数学 · 计算机科学 2017-06-13 Maciej Drwal

Motivated by cloud computing applications, we study the problem of how to optimally deploy new hardware subject to both power and robustness constraints. To model the situation observed in large-scale data centers, we introduce the Online…

数据结构与算法 · 计算机科学 2022-09-05 Konstantina Mellou , Marco Molinaro , Rudy Zhou

Planning problems are hard, motion planning, for example, isPSPACE-hard. Such problems are even more difficult in the presence of uncertainty. Although, Markov Decision Processes (MDPs) provide a formal framework for such problems, finding…

人工智能 · 计算机科学 2013-01-14 Carlos E. Guestrin , Dirk Ormoneit

The joint management of heat and power systems is believed to be key to the integration of renewables into energy systems with a large penetration of district heating. Determining the day-ahead unit commitment and production schedules for…

最优化与控制 · 数学 2015-07-22 Marco Zugno , Juan M. Morales , Henrik Madsen

We study competitive equilibria in the classic Shapley-Shubik assignment model with indivisible goods and unit-demand buyers, with budget constraints: buyers can specify a maximum price they are willing to pay for each item, beyond which…

计算机科学与博弈论 · 计算机科学 2010-04-19 Ning Chen , Xiaotie Deng , Arpita Ghosh

We investigate the recoverable robust single machine scheduling problem under interval uncertainty. In this setting, jobs have first-stage processing times p and second-stage processing times q and we aim to find a first-stage and…

数据结构与算法 · 计算机科学 2022-03-08 Matthew Bold , Marc Goerigk

This paper studies the design of mechanisms that are robust to misspecification. We introduce a novel notion of robustness that connects a variety of disparate approaches and study its implications in a wide class of mechanism design…

理论经济学 · 经济学 2021-08-31 Giuseppe Lopomo , Luca Rigotti , Chris Shannon

Model-based process simulation can be used to derive designs and operating conditions of chemical processes that optimally balance multiple objectives, such as quality, costs, or environmental impacts. This work focuses on identifying…

In numerous online selection problems, decision-makers (DMs) must allocate on the fly limited resources to customers with uncertain values. The DM faces the tension between allocating resources to currently observed values and saving them…

计算机科学与博弈论 · 计算机科学 2025-11-04 Yihua Xu , Süleyman Kerimov , Sebastian Perez-Salazar

This paper considers structural optimization under a reliability constraint, where the input distribution is only partially known. Specifically, when we only know that the expected value vector and the variance-covariance matrix of the…

最优化与控制 · 数学 2022-12-19 Yoshihiro Kanno

One of the most ubiquitous problems in optimization is that of finding all the elements of a finite set at which a function $f$ attains its minimum (or maximum). When the codomain of $f$ is equipped with a total order, it is easy to…

最优化与控制 · 数学 2026-03-17 Patrik Jansson , Nicola Botta , Tim Richter

In this work, we study the single machine scheduling problem with uncertain release times and processing times of jobs. We adopt a robust scheduling approach, in which the measure of robustness to be minimized for a given sequence of jobs…

最优化与控制 · 数学 2014-11-27 Nitish Umang , Alan L. Erera , Michel Bierlaire

Robust Optimal Control (ROC) with adjustable uncertainties has proven to be effective in addressing critical challenges within modern energy networks, especially the reserve and provision problem. However, prior research on ROC with…

系统与控制 · 电气工程与系统科学 2023-12-19 Yun Li , Neil Yorke-Smith , Tamas Keviczky

Solution robustness focuses on structural similarities between the nominal solution and the scenario solutions. Most other robust optimization approaches focus on the quality robustness and only evaluate the relevance of their solutions…

最优化与控制 · 数学 2021-10-25 Zacharie Ales , Sourour Elloumi

This paper focuses on managing the cost of deliberation before action. In many problems, the overall quality of the solution reflects costs incurred and resources consumed in deliberation as well as the cost and benefit of execution, when…

人工智能 · 计算机科学 2013-04-05 David Einav , Michael R. Fehling

Production planning must account for uncertainty in a production system, arising from fluctuating demand forecasts. Therefore, this article focuses on the integration of updated customer demand into the rolling horizon planning cycle. We…

计量经济学 · 经济学 2024-09-27 Manuel Schlenkrich , Wolfgang Seiringer , Klaus Altendorfer , Sophie N. Parragh