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Recent work has shown that viewing allocators as black-box 2DBP solvers bears meaning. For instance, there exists a 2DBP-based fragmentation metric which often correlates monotonically with maximum resident set size (RSS). Given the field's…

Programming Languages · Computer Science 2023-05-03 Christos P. Lamprakos , Sotirios Xydis , Francky Catthoor , Dimitrios Soudris

In this paper we initiate the study of finding fair and efficient allocations of an indivisible mixed manna: Divide m indivisible items among n agents under the fairness notion of maximin share (MMS) and the efficiency notion of Pareto…

Computer Science and Game Theory · Computer Science 2021-04-07 Rucha Kulkarni , Ruta Mehta , Setareh Taki

We study the problem of allocating indivisible items to agents with additive valuations, under the additional constraint that bundles must be connected in an underlying item graph. Previous work has considered the existence and complexity…

Computer Science and Game Theory · Computer Science 2018-11-13 Ayumi Igarashi , Dominik Peters

We study an extension of the classical Bin Packing Problem, where each item consumes the bin capacity during a given time window that depends on the item itself. The problem asks for finding the minimum number of bins to pack all the items…

Optimization and Control · Mathematics 2019-02-14 Mauro Dell'Amico , Fabio Furini , Manuel Iori

We give an almost complete characterization of the hardness of $c$-coloring $\chi$-chromatic graphs with distributed algorithms, for a wide range of models of distributed computing. In particular, we show that these problems do not admit…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-25 Xavier Coiteux-Roy , Francesco d'Amore , Rishikesh Gajjala , Fabian Kuhn , François Le Gall , Henrik Lievonen , Augusto Modanese , Marc-Olivier Renou , Gustav Schmid , Jukka Suomela

In the online sorting problem, we have an array $A$ of $n$ cells, and receive a stream of $n$ items $x_1,\dots,x_n\in [0,1]$. When an item arrives, we need to immediately and irrevocably place it into an empty cell. The goal is to minimize…

Data Structures and Algorithms · Computer Science 2025-10-23 Yang Hu

In the online sorting problem, $n$ items are revealed one by one and have to be placed (immediately and irrevocably) into empty cells of a size-$n$ array. The goal is to minimize the sum of absolute differences between items in consecutive…

Data Structures and Algorithms · Computer Science 2024-06-28 Mikkel Abrahamsen , Ioana O. Bercea , Lorenzo Beretta , Jonas Klausen , László Kozma

We consider two closely related problems: planted clustering and submatrix localization. The planted clustering problem assumes that a random graph is generated based on some underlying clusters of the nodes; the task is to recover these…

Machine Learning · Statistics 2015-03-16 Yudong Chen , Jiaming Xu

We address a centralized caching problem with unequal cache sizes. We consider a system with a server of files connected through a shared error-free link to a group of cache-enabled users where one subgroup has a larger cache size than the…

Information Theory · Computer Science 2018-05-16 Behzad Asadi , Lawrence Ong , Sarah J. Johnson

We prove a tight lower bound on the asymptotic performance ratio $\rho$ of the bounded space online $d$-hypercube bin packing problem, solving an open question raised in 2005. In the classic $d$-hypercube bin packing problem, we are given a…

Data Structures and Algorithms · Computer Science 2023-04-11 Y. Kohayakawa , F. K. Miyazawa , Y. Wakabayashi

Online Bin Stretching is a semi-online variant of bin packing in which the algorithm has to use the same number of bins as an optimal packing, but is allowed to slightly overpack the bins. The goal is to minimize the amount of overpacking,…

Data Structures and Algorithms · Computer Science 2016-02-02 Martin Böhm , Jiří Sgall , Rob van Stee , Pavel Veselý

For bin packing, the input consists of $n$ items with sizes $s_1,...,s_n \in [0,1]$ which have to be assigned to a minimum number of bins of size 1. Recently, the second author gave an LP-based polynomial time algorithm that employed…

Data Structures and Algorithms · Computer Science 2015-03-31 Rebecca Hoberg , Thomas Rothvoss

In this paper we improve the approximation ratio for the problem of scheduling packets on line networks with bounded buffers, where the aim is that of maximizing the throughput. Each node in the network has a local buffer of bounded size…

Data Structures and Algorithms · Computer Science 2020-09-30 Guy Even , Moti Medina , Adi Rosén

We study optimization problems that are neither approximable in polynomial time (at least with a constant factor) nor fixed parameter tractable, under widely believed complexity assumptions. Specifically, we focus on Maximum Independent…

Data Structures and Algorithms · Computer Science 2008-10-29 Marek Cygan , Lukasz Kowalik , Marcin Pilipczuk , Mateusz Wykurz

This work aims to study and explore the use of Gene Expression Programming (GEP) in solving the on-line Bin-Packing problem. The main idea is to show how GEP can automatically find acceptable heuristic rules to solve the problem efficiently…

Neural and Evolutionary Computing · Computer Science 2020-01-28 Najla Akram Al-Saati

Motivated by group-project distribution, we introduce and study stable matching under the constraint of applicants needing to share a location to be matched with the same institute, which we call the Location-Restricted Stable Matching…

Data Structures and Algorithms · Computer Science 2025-08-05 Garret Castro

We study the online fair division problem, where indivisible goods arrive sequentially and must be allocated immediately and irrevocably. Prior work establishes strong impossibility results for approximating classic notions such as…

Computer Science and Game Theory · Computer Science 2026-05-29 Davin Choo , Winston Fu , Derek Khu , Tzeh Yuan Neoh , Tze-Yang Poon , Nicholas Teh

We study the problem of fair allocation for indivisible goods. We use the the maxmin share paradigm introduced by Budish as a measure for fairness. Procaccia and Wang (EC'14) were first to investigate this fundamental problem in the…

Computer Science and Game Theory · Computer Science 2017-07-25 Mohammad Ghodsi , MohammadTaghi Hajiaghayi , Masoud Seddighin , Saeed Seddighin , Hadi Yami

Display Ads and the generalized assignment problem are two well-studied online packing problems with important applications in ad allocation and other areas. In both problems, ad impressions arrive online and have to be allocated…

Machine Learning · Computer Science 2023-05-26 Fabian Spaeh , Alina Ene

We present a complete classification of the distributed computational complexity of local optimization problems in directed cycles for both the deterministic and the randomized LOCAL model. We show that for any local optimization problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-06 Thomas Boudier , Fabian Kuhn , Augusto Modanese , Ronja Stimpert , Jukka Suomela
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