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The cross-dock door design problem consists of deciding the strip and stack doors and nominal capacity of an entity under uncertainty. Inbound commodity flow from origin nodes is assigned to the strip doors, it is consolidated in the…

最优化与控制 · 数学 2025-06-03 Laureano F. Escudero , M. Araceli Garín , Aitziber Unzueta

This paper focuses on the Facility Location Problem with Bernoulli Demand, a discrete facility location problem with uncertainty where the joint distribution of the customers' demands is expressed by means of a set of possible scenarios. A…

最优化与控制 · 数学 2023-10-31 Maria Albareda-Sambola , Elena Fernández , Francisco Saldanha-da-Gama

In this paper we analyze the effect of two modelling approaches for supply planning problems under uncertainty: two-stage stochastic programming (SP) and robust optimization (RO). The comparison between the two approaches is performed…

最优化与控制 · 数学 2016-11-22 Francesca Maggioni , Florian Potra , Marida Bertocchi

In this paper we investigate a problem associated with operating a robotic mobile fulfilment system (RMFS). This is the problem of allocating orders and mobile storage racks to pickers. We present a two-stage formulation of the problem. In…

最优化与控制 · 数学 2023-02-27 Cristiano Arbex Valle , John E Beasley

Two-stage robust unit commitment (RUC) models have been widely used for day-ahead energy and reserve scheduling under high renewable integration. The current state of the art relies on budget-constrained polyhedral uncertainty sets to…

最优化与控制 · 数学 2019-05-14 Alexandre Velloso , Alexandre Street , David Pozo , José M. Arroyo , Noemi G. Cobos

In this work, we study a single-machine scheduling problem that aims at minimizing the total cost of a schedule subject to start-time dependent costs. This framework naturally captures scenarios where costs fluctuate throughout the day,…

In a two-sided matching market when agents on both sides have preferences the stability of the solution is typically the most important requirement. However, we may also face some distributional constraints with regard to the minimum number…

计算机科学与博弈论 · 计算机科学 2017-11-15 Kolos Csaba Ágoston , Péter Biró , Richárd Szántó

We first show that a better analysis of the algorithm for The Two-Sage Stochastic Facility Location Problem from Srinivasan \cite{sri07} and the algorithm for The Robust Fault Tolerant Facility Location Problem from Byrka et al \cite{bgs10}…

数据结构与算法 · 计算机科学 2013-05-13 Shuxin Cai , Wenguo Yang , Yaohua Tang

We study deterministic mechanisms for the two-facility location problem. Given the reported locations of n agents on the real line, such a mechanism specifies where to build the two facilities. The single-facility variant of this problem…

计算机科学与博弈论 · 计算机科学 2025-08-15 Elijah Journey Fullerton , Zeyuan Hu , C. Gregory Plaxton

This paper addresses the transmission network expansion planning problem under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby the worst-case operating cost is accounted for…

计算工程、金融与科学 · 计算机科学 2019-04-04 Cristina Roldán , Roberto Mínguez , Raquel García-Bertrand , José Manuel Arroyo

To enhance the reliability of Integrated Energy Systems (IESs) and address the research gap in reliability-based planning methods, this paper proposes a two-stage robust planning model specifically for park-level IESs. The proposed planning…

系统与控制 · 电气工程与系统科学 2024-10-14 Zuxun Xiong , Xinwei Shen , Hongbin Sun

We consider non-cooperative facility location games where both facilities and clients act strategically and heavily influence each other. This contrasts established game-theoretic facility location models with non-strategic clients that…

计算机科学与博弈论 · 计算机科学 2024-06-17 Simon Krogmann , Pascal Lenzner , Louise Molitor , Alexander Skopalik

The type of decision dependent uncertainties (DDUs) imposes a great challenge in decision making, while existing methodologies are not sufficient to support many real practices. In this paper, we present a systematic study to handle this…

最优化与控制 · 数学 2022-03-31 Bo Zeng , Wei Wang

In this paper, we study the two-stage distributionally robust optimization (DRO) problem from the primal perspective. Unlike existing approaches, this perspective allows us to build a deeper and more intuitive understanding on DRO, to…

最优化与控制 · 数学 2024-12-31 Zhengsong Lu , Bo Zeng

Recent studies on many-to-one matching markets have explored agents with flexible capacity and truthful preference reporting, focusing on mechanisms that jointly design capacities and select a matching. However, in real-world applications…

计算机科学与博弈论 · 计算机科学 2026-03-11 Maria Bazotte , Margarida Carvalho , Thibaut Vidal

Two-stage robust optimization problems constitute one of the hardest optimization problem classes. One of the solution approaches to this class of problems is K-adaptability. This approach simultaneously seeks the best partitioning of the…

最优化与控制 · 数学 2024-10-16 Esther Julien , Krzysztof Postek , Ş. İlker Birbil

This paper addresses the transmission network expansion planning problem considering storage units under uncertain demand and generation capacity. A two-stage adaptive robust optimization framework is adopted whereby short- and long-term…

最优化与控制 · 数学 2021-01-19 Álvaro García-Cerezo , Luis Baringo , Raquel García-Bertrand

Task allocation is a key combinatorial optimization problem, crucial for modern applications such as multi-robot cooperation and resource scheduling. Decision makers must allocate entities to tasks reasonably across different scenarios.…

机器学习 · 计算机科学 2024-07-02 Aicheng Gong , Kai Yang , Jiafei Lyu , Xiu Li

Placing applications in mobile edge computing servers presents a complex challenge involving many servers, users, and their requests. Existing algorithms take a long time to solve high-dimensional problems with significant uncertainty…

机器学习 · 计算机科学 2024-03-26 Taha-Hossein Hejazi , Zahra Ghadimkhani , Arezoo Borji

Unit maintenance and unit commitment are two critical and interrelated aspects of electric power system operation, both of which face the challenge of coordinating efforts to enhance reliability and economic performance. This challenge…

系统与控制 · 电气工程与系统科学 2024-12-03 Hongrui Lu , Yuxiong Huang , Tong He , Gengfeng Li