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In the online matching on the line problem, the task is to match a set of requests $R$ online to a given set of servers $S$. The distance metric between any two points in $R\,\cup\, S$ is a line metric and the objective for the online…

Data Structures and Algorithms · Computer Science 2017-12-20 Antonios Antoniadis , Carsten Fischer , Andreas Tönnis

In several emerging technologies for computer memory (main memory), the cost of reading is significantly cheaper than the cost of writing. Such asymmetry in memory costs poses a fundamentally different model from the RAM for algorithm…

Data Structures and Algorithms · Computer Science 2016-08-30 Guy E. Blelloch , Jeremy T. Fineman , Phillip B. Gibbons , Yan Gu , Julian Shun

We show that randomization can lead to significant improvements for a few fundamental problems in distributed tracking. Our basis is the {\em count-tracking} problem, where there are $k$ players, each holding a counter $n_i$ that gets…

Data Structures and Algorithms · Computer Science 2011-12-05 Zengfeng Huang , Ke Yi , Qin Zhang

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

The focus of this paper is to understand storage costs of emulating an atomic shared memory over an asynchronous, distributed message passing system. Previous literature has developed several shared memory emulation algorithms based on…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-26 Viveck R. Cadambe , Zhiying Wang , Nancy Lynch

Serverless computing has gained a strong traction in the cloud computing community in recent years. Among the many benefits of this novel computing model, the rapid auto-scaling capability of user applications takes prominence. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-23 Anupama Mampage , Shanika Karunasekera , Rajkumar Buyya

In this work, we study the $k$-median and $k$-means clustering problems when the data is distributed across many servers and can contain outliers. While there has been a lot of work on these problems for worst-case instances, we focus on…

Data Structures and Algorithms · Computer Science 2019-03-08 Pranjal Awasthi , Ainesh Bakshi , Maria-Florina Balcan , Colin White , David Woodruff

We give an $O(\log\log k)$-competitive randomized online algorithm for reordering buffer management, where $k$ is the buffer size. Our bound matches the lower bound of Adamaszek et al. (STOC 2011). Our algorithm has two stages which are…

Data Structures and Algorithms · Computer Science 2013-03-15 Noa Avigdor-elgrabli , Yuval Rabani

The $b$-matching problem is an allocation problem where the vertices on the left-hand side of a bipartite graph, referred to as servers, may be matched multiple times. In the setting with stochastic rewards, an assignment between an…

Data Structures and Algorithms · Computer Science 2024-11-27 Susanne Albers , Sebastian Schubert

Addressing a complex real-world optimization problem is a challenging task. The chance-constrained knapsack problem with correlated uniform weights plays an important role in the case where dependent stochastic components are considered. We…

Data Structures and Algorithms · Computer Science 2021-02-12 Yue Xie , Aneta Neumann , Frank Neumann , Andrew M. Sutton

Design of {\it online algorithms} for assigning mobile users to basestations is considered with the objective of maximizing the sum-rate, when all users associated to any one basestation equally share each basestation's resources. Each user…

Networking and Internet Architecture · Computer Science 2013-08-07 Andrew Thangaraj , Rahul Vaze

We consider the problem of selecting $k$ seed nodes in a network to maximize the minimum probability of activation under an independent cascade beginning at these seeds. The motivation is to promote fairness by ensuring that even the least…

Social and Information Networks · Computer Science 2025-02-20 Dennis Robert Windham , Caroline J. Wendt , Alex Crane , Madelyn J Warr , Freda Shi , Sorelle A. Friedler , Blair D. Sullivan , Aaron Clauset

The problem of non-monotone $k$-submodular maximization under a knapsack constraint ($\kSMK$) over the ground set size $n$ has been raised in many applications in machine learning, such as data summarization, information propagation, etc.…

Data Structures and Algorithms · Computer Science 2023-09-22 Dung T. K. Ha , Canh V. Pham , Tan D. Tran , Huan X. Hoang

We consider the {\em mobile facility location} (\mfl) problem. We are given a set of facilities and clients located in a common metric space. The goal is to move each facility from its initial location to a destination and assign each…

Data Structures and Algorithms · Computer Science 2013-01-21 Sara Ahmadian , Zachary Friggstad , Chaitanya Swamy

We consider load balancing in a network of caching servers delivering contents to end users. Randomized load balancing via the so-called power of two choices is a well-known approach in parallel and distributed systems that reduces network…

Data Structures and Algorithms · Computer Science 2016-10-25 Ali Pourmiri , Mahdi Jafari Siavoshani , Seyed Pooya Shariatpanahi

We propose the \emph{weighted K-harmonic means} (WKHM) clustering algorithm, a regularized variant of K-harmonic means designed to ensure numerical stability while enabling soft assignments through inverse-distance weighting. Unlike…

Artificial Intelligence · Computer Science 2025-12-19 Gourab Ghatak

We study two online resource allocation problems with reusability in an adversarial setting, namely kRental-Fixed and kRental-Variable. In both problems, a decision-maker manages $k$ identical reusable units and faces a sequence of rental…

Data Structures and Algorithms · Computer Science 2025-07-30 Hossein Nekouyan , Bo Sun , Raouf Boutaba , Xiaoqi Tan

We study the online metric matching problem. There are $m$ servers and $n$ requests located in a metric space, where all servers are available upfront and requests arrive one at a time. Upon the arrival of a new request, it needs to be…

Data Structures and Algorithms · Computer Science 2025-10-16 Mingwei Yang , Sophie H. Yu

The $k$-Facility Location problem is a generalization of the classical problems $k$-Median and Facility Location. The goal is to select a subset of at most $k$ facilities that minimizes the total cost of opened facilities and established…

Data Structures and Algorithms · Computer Science 2017-04-25 Jarosław Byrka , Krzysztof Fleszar , Bartosz Rybicki , Joachim Spoerhase

We consider a generalization of the standard cache problem called file-bundle caching, where different queries (tasks), each containing $l\ge 1$ files, sequentially arrive. An online algorithm that does not know the sequence of queries…

Data Structures and Algorithms · Computer Science 2020-11-09 Tiancheng Qin , S. Rasoul Etesami