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The parallel machine scheduling problem has been a popular topic for many years due to its theoretical and practical importance. This paper addresses the robust makespan optimization problem on unrelated parallel machine scheduling with…

最优化与控制 · 数学 2020-10-23 Chutong Gao , Weihao Wang , Leyuan Shi

The unrestricted block relocation problem is an important optimization problem encountered at terminals, where containers are stored in stacks. It consists in determining the minimum number of container moves so as to empty the considered…

离散数学 · 计算机科学 2019-09-13 Dominique Feillet , Sophie N. Parragh , Fabien Tricoire

To solve a real-world problem, the modeler usually needs to make a trade-off between model complexity and usefulness. This is also true for robust optimization, where a wide range of models for uncertainty, so-called uncertainty sets, have…

最优化与控制 · 数学 2019-01-14 Francis Garuba , Marc Goerigk , Peter Jacko

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

We consider a strategic decision-making problem where a logistics provider (LP) seeks to locate collection and delivery points (CDPs) with the objective to reduce total logistics costs. The customers maximize utility that depends on their…

最优化与控制 · 数学 2025-12-09 David Pinzon Ulloa , Ammar Metnani , Emma Frejinger

In classic robust optimization, it is assumed that a set of possible parameter realizations, the uncertainty set, is modeled in a previous step and part of the input. As recent work has shown, finding the most suitable uncertainty set is in…

最优化与控制 · 数学 2016-10-18 André Chassein , Marc Goerigk

Dynamic resource allocation problems are ubiquitous, arising in inventory management, order fulfillment, online advertising, and other applications. We initially focus on one of the simplest models of online resource allocation: the…

概率论 · 数学 2025-06-04 Omar Besbes , Yash Kanoria , Akshit Kumar

In typical applications of facility location problems, the location of demand is assumed to be an input to the problem. The demand may be fixed or dynamic, but ultimately outside the optimizers control. In contrast, there are settings,…

最优化与控制 · 数学 2022-11-24 Ali Kaan Kurbanzade , Julia Gaudio

Dynamic facility location problems predominantly suppose a monopoly over the service or product provided. Nonetheless, this premise can be a severe oversimplification in the presence of market competitors, as customers may prefer facilities…

最优化与控制 · 数学 2026-02-20 Warley Almeida Silva , Margarida Carvalho , Sanjay Dominik Jena

This paper introduces a new optimization model that integrates the multi-port stowage planning problem with the container relocation problem. This problem is formulated as a binary mathematical programming model that must find the…

We study the problem of multi-agent control of a dynamical system with known dynamics and adversarial disturbances. Our study focuses on optimal control without centralized precomputed policies, but rather with adaptive control policies for…

最优化与控制 · 数学 2022-07-27 Udaya Ghai , Udari Madhushani , Naomi Leonard , Elad Hazan

In this paper we study how to optimally balance cheap inflexible resources with more expensive, reconfigurable resources despite uncertainty in the input problem. Specifically, we introduce the MinEMax model to study "build versus rent"…

数据结构与算法 · 计算机科学 2019-07-23 D Ellis Hershkowitz , R. Ravi , Sahil Singla

We consider the setting of iterative learning control, or model-based policy learning in the presence of uncertain, time-varying dynamics. In this setting, we propose a new performance metric, planning regret, which replaces the standard…

机器学习 · 计算机科学 2021-03-01 Naman Agarwal , Elad Hazan , Anirudha Majumdar , Karan Singh

We study the cyclic inventory routing problem that involves joint decisions on vehicle routing and inventory replenishment on an infinite, cyclic horizon. It considers a single warehouse and a set of geographically dispersed retailers. We…

最优化与控制 · 数学 2026-05-07 Menglei Jia , Albert H. Schrotenboer , Ahmadreza Marandi , Feng Chen

Optimising queries in real-world situations under imperfect conditions is still a problem that has not been fully solved. We consider finding the optimal order in which to execute a given set of selection operators under partial ignorance…

数据库 · 计算机科学 2015-07-30 Khaled H. Alyoubi , Sven Helmer , Peter T. Wood

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

The minmax regret problem for combinatorial optimization under uncertainty can be viewed as a zero-sum game played between an optimizing player and an adversary, where the optimizing player selects a solution and the adversary selects costs…

离散数学 · 计算机科学 2014-09-23 Andrew Mastin , Patrick Jaillet , Sang Chin

We study the problem of determining an effective exploration strategy in static and non-linear optimization problems, which depend on an unknown scalar parameter to be learned from online collected noisy data. An optimal trade-off between…

最优化与控制 · 数学 2024-09-13 Ying Wang , Mirko Pasquini , Kévin Colin , Håkan Hjalmarsson

This article discusses the algorithms for finding the optimal solution of problems related to the location of temporary storage of goods, warehouses, factories for processing raw materials and shops selling the final product in the…

最优化与控制 · 数学 2019-04-09 Oleg Malafeyev , Schenikova Snezhana

We consider the robust single-source capacitated facility location problem with uncertainty in customer demands. A cardinality-constrained uncertainty set is assumed for the robust problem. To solve it efficiently, we propose an…

最优化与控制 · 数学 2021-03-25 Jaehyeon Ryu , Sungsoo Park