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We consider the Windows Scheduling problem. The problem is a restricted version of Unit-Fractions Bin Packing, and it is also called Inventory Replenishment in the context of Supply Chain. In brief, the problem is to schedule the use of…

Data Structures and Algorithms · Computer Science 2014-04-07 Martin Farach-Colton , Katia Leal , Miguel A. Mosteiro , Christopher Thraves

This paper investigates online composite optimization in dynamic environments, where each objective or loss function contains a time-varying nondifferentiable regularizer. To resolve it, an online proximal gradient algorithm is studied for…

Optimization and Control · Mathematics 2023-03-24 Ruijie Hou , Xiuxian Li , Yang Shi

Optimization in the presence of sharp (non-Lipschitz), unpredictable (w.r.t. time and amount) changes is a challenging and largely unexplored problem of great significance. We consider the class of piecewise Lipschitz functions, which is…

Machine Learning · Computer Science 2020-08-10 Maria-Florina Balcan , Travis Dick , Dravyansh Sharma

The Container Relocation Problem (CRP) is concerned with finding a sequence of moves of containers that minimizes the number of relocations needed to retrieve all containers, while respecting a given order of retrieval. However, the…

Data Structures and Algorithms · Computer Science 2017-10-13 Virgile Galle , Setareh Borjian Boroujeni , Vahideh H. Manshadi , Cynthia Barnhart , Patrick Jaillet

This work presents a model reduction approach for problems with coherent structures that propagate over time such as convection-dominated flows and wave-type phenomena. Traditional model reduction methods have difficulties with these…

Numerical Analysis · Mathematics 2020-06-16 Benjamin Peherstorfer

The two-dimensional non-oriented bin packing problem with due dates packs a set of rectangular items, which may be rotated by 90 degrees, into identical rectangular bins. The bins have equal processing times. An item's lateness is the…

Data Structures and Algorithms · Computer Science 2017-11-09 S. Polyakovskiy , R. M'Hallah

A key challenge in online learning is that classical algorithms can be slow to adapt to changing environments. Recent studies have proposed "meta" algorithms that convert any online learning algorithm to one that is adaptive to changing…

Machine Learning · Statistics 2017-11-08 Kwang-Sung Jun , Francesco Orabona , Stephen Wright , Rebecca Willett

Packing problems are in general NP-hard, even for simple cases. Since now there are no highly efficient algorithms available for solving packing problems. The two-dimensional bin packing problem is about packing all given rectangular items,…

Neural and Evolutionary Computing · Computer Science 2020-07-28 Camelia-M. Pintea , Cristian Pascan , Mara Hajdu-Macelaru

Recently, Renault (2016) studied the dual bin packing problem in the per-request advice model of online algorithms. He showed that given $O(1/\epsilon)$ advice bits for each input item allows approximating the dual bin packing problem…

Data Structures and Algorithms · Computer Science 2017-08-08 Allan Borodin , Denis Pankratov , Amirali Salehi-Abari

The online bisection problem requires maintaining a dynamic partition of $n$ nodes into two equal-sized clusters. Requests arrive sequentially as node pairs. If the nodes lie in different clusters, the algorithm pays unit cost. After each…

Data Structures and Algorithms · Computer Science 2026-02-12 Mateusz Basiak , Marcin Bienkowski , Guy Even , Agnieszka Tatarczuk

We study the online robust control problem for linear dynamical systems with disturbances and uncertainties in the cost functions, with limited preview of the future disturbances and the cost functions, $N$. Our goal is to find an online…

Optimization and Control · Mathematics 2022-11-01 Deepan Muthirayan , Dileep Kalathil , Pramod P. Khargonekar

We propose a Deep Reinforcement Learning (Deep RL) algorithm for solving the online 3D bin packing problem for an arbitrary number of bins and any bin size. The focus is on producing decisions that can be physically implemented by a robotic…

The recent rising popularity of ultra-fast delivery services on retail platforms fuels the increasing use of urban warehouses, whose proximity to customers makes fast deliveries viable. The space limit in urban warehouses poses a problem…

Optimization and Control · Mathematics 2019-05-06 Rong Jin , David Simchi-Levi , Li Wang , Xinshang Wang , Sen Yang

Online platforms increasingly rely on sequential decision-making algorithms to allocate resources, match users, or control exposure, while facing growing pressure to ensure fairness over time. We study a general online decision-making…

Optimization and Control · Mathematics 2026-02-13 Rui Chen , Oktay Gunluk , Andrea Lodi , Guanyi Wang

We give a very general and simple framework to incorporate predictions on requests for online covering problems in a rigorous and black-box manner. Our framework turns any online algorithm with competitive ratio $\rho(k, \cdot)$ depending…

Data Structures and Algorithms · Computer Science 2025-07-09 Afrouz Jabal Ameli , Laura Sanita , Moritz Venzin

We study large-scale classification problems in changing environments where a small part of the dataset is modified, and the effect of the data modification must be quickly incorporated into the classifier. When the entire dataset is large,…

Machine Learning · Statistics 2016-06-02 Hiroyuki Hanada , Atsushi Shibagaki , Jun Sakuma , Ichiro Takeuchi

Cutting and packing problems are present in many, at first glance unconnected, areas, therefore it's beneficial to have a good understanding of their underlying structure, to select proper techniques for finding solutions. Cutting and…

Optimization and Control · Mathematics 2023-11-14 Szymon Wróbel

Survival analysis is a widely-used technique for analyzing time-to-event data in the presence of censoring. In recent years, numerous survival analysis methods have emerged which scale to large datasets and relax traditional assumptions…

Machine Learning · Computer Science 2023-11-06 Mert Ketenci , Shreyas Bhave , Noémie Elhadad , Adler Perotte

Reallocation scheduling is one of the most fundamental problems in various areas such as supply chain management, logistics, and transportation science. In this paper, we introduce the reallocation problem that models the scheduling in…

Data Structures and Algorithms · Computer Science 2021-11-05 Toshimasa Ishii , Jun Kawahara , Kazuhisa Makino , Hirotaka Ono

We introduce a natural online allocation problem that connects several of the most fundamental problems in online optimization. Let $M$ be an $n$-point metric space. Consider a resource that can be allocated in arbitrary fractions to the…

Data Structures and Algorithms · Computer Science 2021-12-01 Nikhil Bansal , Christian Coester