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This paper studies Markov Decision Processes under parameter uncertainty. We adapt the distributionally robust optimization framework, and assume that the uncertain parameters are random variables following an unknown distribution, and…

系统与控制 · 计算机科学 2015-05-14 Pengqian Yu , Huan Xu

Radiotherapy treatment planning is a challenging large-scale optimization problem plagued by uncertainty. Following the robust optimization methodology, we propose a novel, spatially based uncertainty set for robust modeling of radiotherapy…

最优化与控制 · 数学 2024-05-28 Noam Goldberg , Mark P. Langer , Shimrit Shtern

We explore a multiple-stage variant of the min-max robust selection problem with budgeted uncertainty that includes queries. First, one queries a subset of items and gets the exact values of their uncertain parameters. Given this…

最优化与控制 · 数学 2025-01-07 Xiaoyu Chen , Marc Goerigk , Michael Poss

In the current work we introduce a novel estimation of distribution algorithm to tackle a hard combinatorial optimization problem, namely the single-machine scheduling problem, with uncertain delivery times. The majority of the existing…

数据结构与算法 · 计算机科学 2013-12-05 Boris Mitavskiy , Jun He

We investigate a data-driven approach to constructing uncertainty sets for robust optimization problems, where the uncertain problem parameters are modeled as random variables whose joint probability distribution is not known. Relying only…

最优化与控制 · 数学 2020-09-22 Polina Alexeenko , Eilyan Bitar

Supply chain network is critical to serving customers, so the most common practices are to determine the number, location, and capacity of facilities. But at the same time, uncertainties and risks must be taken into account in order to…

物理与社会 · 物理学 2022-01-19 Khadija Ait Mamoun , Lamia Hammadi , Abdessamad El Ballouti , Eduardo Souza De Cursi

Specifying a proper input distribution is often a challenging task in simulation modeling. In practice, there may be multiple plausible distributions that can fit the input data reasonably well, especially when the data volume is not large.…

统计方法学 · 统计学 2019-03-15 Weiwei Fan , L. Jeff Hong , Xiaowei Zhang

We consider a combined problem of teaming and scheduling of multi-skilled employees that have to perform jobs with uncertain qualification requirements. We propose two modeling approaches that generate solutions that are robust to possible…

最优化与控制 · 数学 2020-11-03 Yulia Anoshkina , Marc Goerigk , Frank Meisel

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

最优化与控制 · 数学 2018-03-29 Omid Nohadani , Kartikey Sharma

Mathematical models simulate various events under different conditions, enabling an early overview of the system to be implemented in practice, reducing the waste of resources and in less time. In project optimization, these models play a…

In this paper, we study networks of positive linear systems subject to time-invariant and random uncertainties. We present linear matrix inequalities for checking the stability of the whole network around the origin with prescribed…

最优化与控制 · 数学 2016-11-09 Masaki Ogura , Victor M. Preciado

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

最优化与控制 · 数学 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

We consider the problem of deciding on sampling strategy, in particular sampling design. We propose a risk measure, whose minimizing value guides the choice. The method makes use of a superpopulation model and takes into account uncertainty…

统计方法学 · 统计学 2020-07-06 Edgar Bueno , Dan Hedlin

This paper presents an approach for developing the explanation capabilities of rule-based expert systems managing imprecise and uncertain knowledge. The treatment of uncertainty takes place in the framework of possibility theory where the…

人工智能 · 计算机科学 2013-04-08 Henri Farrency , Henri Prade

We consider the effects of parameter uncertainty on the optimal radiation schedule in the context of the linear-quadratic model. Our interest arises from the observation that if inter-patient variations in OAR and tumor sensitivities to…

组织与器官 · 定量生物学 2015-06-05 Hamidreza Badri , Yoichi Watanabe , Kevin Leder

The last decade witnessed an explosion in the availability of data for operations research applications. Motivated by this growing availability, we propose a novel schema for utilizing data to design uncertainty sets for robust optimization…

最优化与控制 · 数学 2014-11-25 Dimitris Bertsimas , Vishal Gupta , Nathan Kallus

In robust optimization one seeks to make a decision under uncertainty, where the goal is to find the solution with the best worst-case performance. The set of possible realizations of the uncertain data is described by a so-called…

最优化与控制 · 数学 2022-01-25 Immanuel Bomze , Markus Gabl

This paper describes a novel approach to planning which takes advantage of decision theory to greatly improve robustness in an uncertain environment. We present an algorithm which computes conditional plans of maximum expected utility. This…

人工智能 · 计算机科学 2013-02-28 Stephen G. Pimentel , Lawrence M. Brem

We consider the two-sided stable matching setting in which there may be uncertainty about the agents' preferences due to limited information or communication. We consider three models of uncertainty: (1) lottery model --- in which for each…

计算机科学与博弈论 · 计算机科学 2016-07-12 Haris Aziz , Péter Biró , Serge Gaspers , Ronald de Haan , Nicholas Mattei , Baharak Rastegari

This paper studies binary linear programming problems in the presence of uncertainties that may cause solution values to change during implementation. This type of uncertainty, termed implementation uncertainty, is modeled explicitly…

最优化与控制 · 数学 2021-09-29 Jose E. Ramirez-Calderon , V. Jorge Leon
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