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Knapsack problems are among the most fundamental problems in optimization. In the Multiple Knapsack problem, we are given multiple knapsacks with different capacities and items with values and sizes. The task is to find a subset of items of…

Data Structures and Algorithms · Computer Science 2021-10-05 Franziska Eberle , Nicole Megow , Lukas Nölke , Bertrand Simon , Andreas Wiese

Collaboration between small-scale wireless devices hinges on their ability to infer properties shared across multiple nearby nodes. Wireless-enabled mobile devices in particular create a highly dynamic environment not conducive to…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-10-20 Oliver Kennedy , Christoph Koch , Al Demers

We consider a distribution logistics scenario where a shipping operator, managing a limited amount of resources, receives a stream of collection requests, issued by a set of customers along a booking time-horizon, that are referred to a…

Optimization and Control · Mathematics 2023-07-04 Giovanni Giallombardo , Francesca Guerriero , Giovanna Miglionico

Consolidation of loose packages into transport units is a fundamental activity offered by logistics service-providers. Moving the transport units instead of loose packages is faster (with one movement only, multiple packages are loaded…

Optimization and Control · Mathematics 2022-10-24 Enrico Angelelli , Claudia Archetti , Lorenzo Peirano

The weighted $k$-server is a variant of the $k$-server problem, where the cost of moving a server is the server's weight times the distance through which it moves. The problem is famous for its intriguing properties and for evading standard…

Data Structures and Algorithms · Computer Science 2025-10-28 Adithya Bijoy , Ankit Mondal , Ashish Chiplunkar

Analytical queries defined on data warehouses are complex and use several join operations that are very costly, especially when run on very large data volumes. To improve response times, data warehouse administrators casually use indexing…

Databases · Computer Science 2008-09-12 Stéphane Azefack , Kamel Aouiche , Jérôme Darmont

We consider the distributed optimization problem, where a group of agents work together to optimize a common objective by communicating with neighboring agents and performing local computations. For a given algorithm, we use tools from…

Optimization and Control · Mathematics 2020-09-11 Bryan Van Scoy , Laurent Lessard

The blessing of ubiquitous data also comes with a curse: the communication, storage, and labeling of massive, mostly redundant datasets. We seek to solve this problem at its core, collecting only valuable data and throwing out the rest via…

Machine Learning · Computer Science 2023-12-18 Mariel Werner , Anastasios Angelopoulos , Stephen Bates , Michael I. Jordan

A basic combinatorial online resource allocation problem is considered, where multiple servers have individual capacity constraints, and at each time slot, a set of jobs arrives, that have potentially different weights to different servers.…

Data Structures and Algorithms · Computer Science 2015-12-02 Ajil Jalal , Rahul Vaze , Umang Bhaskar

Data-driven algorithm selection is a powerful approach for choosing effective heuristics for computational problems. It operates by evaluating a set of candidate algorithms on a collection of representative training instances and selecting…

Machine Learning · Computer Science 2025-12-04 Vaggos Chatziafratis , Ishani Karmarkar , Yingxi Li , Ellen Vitercik

A natural variant of the classical online $k$-server problem is the Weighted $k$-server problem, where the cost of moving a server is its weight times the distance through which it moves. Despite its apparent simplicity, the weighted…

Data Structures and Algorithms · Computer Science 2024-10-10 Nikhil Ayyadevara , Ashish Chiplunkar , Amatya Sharma

Recently, the first online complexity class, AOC, was introduced. The class consists of many online problems where each request must be either accepted or rejected, and the aim is to either minimize or maximize the number of accepted…

Data Structures and Algorithms · Computer Science 2017-08-15 Joan Boyar , Lene M. Favrholdt , Christian Kudahl , Jesper W. Mikkelsen

The design of online algorithms has tended to focus on algorithms with worst-case guarantees, e.g., bounds on the competitive ratio. However, it is well-known that such algorithms are often overly pessimistic, performing sub-optimally on…

Data Structures and Algorithms · Computer Science 2020-12-11 Ali Zeynali , Bo Sun , Mohammad Hajiesmaili , Adam Wierman

We introduce and study a discrete multi-period extension of the classical knapsack problem, dubbed generalized incremental knapsack. In this setting, we are given a set of $n$ items, each associated with a non-negative weight, and $T$ time…

Data Structures and Algorithms · Computer Science 2020-09-16 Yuri Faenza , Danny Segev , Lingyi Zhang

Federated clustering, an integral aspect of federated machine learning, enables multiple data sources to collaboratively cluster their data, maintaining decentralization and preserving privacy. In this paper, we introduce a novel federated…

Machine Learning · Computer Science 2023-11-20 Patrick Holzer , Tania Jacob , Shubham Kavane

The online bin packing problem and its variants are regularly used to model server allocation problems. Modern concerns surrounding sustainability and overcommitment in cloud computing motivate bin packing models that capture costs…

Data Structures and Algorithms · Computer Science 2025-11-03 Jackson Bibbens , Cooper Sigrist , Bo Sun , Shahin Kamali , Mohammad Hajiesmaili

We improve the best known competitive ratio (from 1/4 to 1/2), for the online multi-unit allocation problem, where the objective is to maximize the single-price revenue. Moreover, the competitive ratio of our algorithm tends to 1, as the…

Computer Science and Game Theory · Computer Science 2009-01-13 Sourav Chakraborty , Nikhil Devanur

Consider a scheduling problem in which jobs need to be processed on a single machine. Each job has a weight and is composed of several operations belonging to different families. The machine needs to perform a setup between the processing…

Data Structures and Algorithms · Computer Science 2019-10-22 Alexander Mäcker , Friedhelm Meyer auf der Heide , Simon Pukrop

Work-stealing is a widely used technique for balancing irregular parallel workloads, and most modern runtime systems adopt lock-free work-stealing deques to reduce contention and improve scalability. However, existing algorithms are…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-09 Raja Sai Nandhan Yadav Kataru , Danial Davarnia , Ali Jannesari

This paper considers competitive mobility-on-demand systems where a group of vehicle sharing companies, on one hand, want to collectively regulate the traffic of the user queueing network, and on the other hand, maximize their own profits…

Optimization and Control · Mathematics 2013-03-15 Minghui Zhu , Emilio Frazzoli