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Online bin stretching is an online packing problem where some of the best known lower and upper bounds were found through computational searches. The limiting factor in obtaining better bounds with such methods is the computational time…

Optimization and Control · Mathematics 2025-06-24 Antoine Lhomme , Nicolas Catusse , Nadia Brauner

We study the maximum weight matching problem in the semi-streaming model, and improve on the currently best one-pass algorithm due to Zelke (Proc. of STACS2008, pages 669-680) by devising a deterministic approach whose performance guarantee…

Data Structures and Algorithms · Computer Science 2012-02-16 Leah Epstein , Asaf Levin , Julian Mestre , Danny Segev

Fueled by massive data, important decision making is being automated with the help of algorithms, therefore, fairness in algorithms has become an especially important research topic. In this work, we design new streaming and distributed…

Data Structures and Algorithms · Computer Science 2020-02-25 Ashish Chiplunkar , Sagar Kale , Sivaramakrishnan Natarajan Ramamoorthy

In the $k$-Cut problem, we are given an edge-weighted graph $G$ and an integer $k$, and have to remove a set of edges with minimum total weight so that $G$ has at least $k$ connected components. Prior work on this problem gives, for all $h…

Data Structures and Algorithms · Computer Science 2017-10-25 Anupam Gupta , Euiwoong Lee , Jason Li

We present an $O((\log k)^2)$-competitive randomized algorithm for the $k$-server problem on hierarchically separated trees (HSTs). This is the first $o(k)$-competitive randomized algorithm for which the competitive ratio is independent of…

Data Structures and Algorithms · Computer Science 2017-11-06 Sebastien Bubeck , Michael B. Cohen , James R. Lee , Yin Tat Lee , Aleksander Madry

Motivated by the Quality-of-Service (QoS) buffer management problem, we consider online scheduling of packets with hard deadlines in a finite capacity queue. At any time, a queue can store at most $b \in \mathbb Z^+$ packets. Packets arrive…

Data Structures and Algorithms · Computer Science 2009-02-09 Fei Li

We initiate the study of the Maximal Matching problem in bounded-deletion graph streams. In this setting, a graph $G$ is revealed as an arbitrary sequence of edge insertions and deletions, where the number of insertions is unrestricted but…

Data Structures and Algorithms · Computer Science 2025-02-24 Sanjeev Khanna , Christian Konrad , Jacques Dark

This paper considers distributed online nonconvex optimization with time-varying inequality constraints over a network of agents. For a time-varying graph, we propose a distributed online primal-dual algorithm with compressed communication…

Optimization and Control · Mathematics 2025-09-01 Kunpeng Zhang , Lei Xu , Xinlei Yi , Ming Cao , Karl H. Johansson , Tianyou Chai , Tao Yang

We consider the reordering buffer problem on a line consisting of n equidistant points. We show that, for any constant delta, an (offline) algorithm that has a buffer (1-delta) k performs worse by a factor of Omega(log n) than an offline…

Data Structures and Algorithms · Computer Science 2017-07-25 Marcin Bienkowski , Martin Böhm , Łukasz Jeż , Paweł Laskoś-Grabowski , Jan Marcinkowski , Jiří Sgall , Aleksandra Spyra , Pavel Veselý

We study a new online assignment problem, called the Online Task Assignment with Controllable Processing Time. In a bipartite graph, a set of online vertices (tasks) should be assigned to a set of offline vertices (machines) under the known…

Data Structures and Algorithms · Computer Science 2023-05-10 Ruoyu Wu , Wei Bao , Liming Ge

We investigate deterministic non-preemptive online scheduling with delayed commitment for total completion time minimization on parallel identical machines. In this problem, jobs arrive one-by-one and their processing times are revealed…

Data Structures and Algorithms · Computer Science 2022-07-19 Uwe Schwiegelshohn

In this paper, we investigate the $k$-Facility Location Problem ($k$-FLP) within the Bayesian Mechanism Design framework, in which agents' preferences are samples of a probability distributed on a line. Our primary contribution is…

Computer Science and Game Theory · Computer Science 2024-07-10 Gennaro Auricchio , Jie Zhang

Reconfigurable optical topologies are a promising new technology to improve datacenter network performance and cope with the explosive growth of traffic. In particular, these networks allow to directly and adaptively connect racks between…

Networking and Internet Architecture · Computer Science 2023-08-31 Marcin Bienkowski , David Fuchssteiner , Stefan Schmid

We initiate the study of a natural and practically relevant new variant of online caching where the to-be-cached items can have dependencies. We assume that the universe is a tree T and items are tree nodes; we require that if a node v is…

Data Structures and Algorithms · Computer Science 2017-05-16 Marcin Bienkowski , Jan Marcinkowski , Maciej Pacut , Stefan Schmid , Aleksandra Spyra

Emerging edge computing paradigms enable heterogeneous devices to collaborate on complex computation applications. However, for congestible links and computing units, delay-optimal forwarding and offloading for service chain tasks (e.g.,…

Networking and Internet Architecture · Computer Science 2024-03-26 Jinkun Zhang , Yuezhou Liu , Edmund Yeh

We resolve the fundamental problem of online decoding with general $n^{th}$ order ergodic Markov chain models. Specifically, we provide deterministic and randomized algorithms whose performance is close to that of the optimal offline…

Machine Learning · Computer Science 2019-05-31 Vikas K. Garg , Tamar Pichkhadze

We consider an online multi-weighted generalization of several classic online optimization problems, called the online combinatorial assignment problem. We are given an independence system over a ground set of elements and agents that…

Data Structures and Algorithms · Computer Science 2023-11-03 Javier Marinkovic , José A. Soto , Victor Verdugo

In the online facility assignment on a line ${\rm OFAL}(S,c)$ with a set $S$ of $k$ servers and a capacity $c:S\to\mathbb{N}$, each server $s\in S$ with a capacity $c(s)$ is placed on a line, and a request arrives on a line one-by-one. The…

Data Structures and Algorithms · Computer Science 2023-08-14 Tsubasa Harada , Toshiya Itoh

We consider the open, non-preemptive online Dial-a-Ride problem on the real line, where transportation requests appear over time and need to be served by a single server. We give a lower bound of 2.0585 on the competitive ratio, which is…

Optimization and Control · Mathematics 2019-07-08 Alexander Birx , Yann Disser , Kevin Schewior

We consider online algorithms for the {\em page migration problem} that use predictions, potentially imperfect, to improve their performance. The best known online algorithms for this problem, due to Westbrook'94 and Bienkowski et al'17,…

Data Structures and Algorithms · Computer Science 2020-06-11 Piotr Indyk , Frederik Mallmann-Trenn , Slobodan Mitrović , Ronitt Rubinfeld