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Load balancing is a well-studied problem, with balls-in-bins being the primary framework. The greedy algorithm $\mathsf{Greedy}[d]$ of Azar et al. places each ball by probing $d > 1$ random bins and placing the ball in the least loaded of…

数据结构与算法 · 计算机科学 2018-01-24 John Augustine , William K. Moses , Amanda Redlich , Eli Upfal

In the 2-choice allocation problem, $m$ balls are placed into $n$ bins, and each ball must choose between two random bins $i, j \in [n]$ that it has been assigned to. It has been known for more than two decades, that if each ball follows…

数据结构与算法 · 计算机科学 2022-05-16 Nikhil Bansal , William Kuszmaul

A fundamental problem in distributed computing is the distribution of requests to a set of uniform servers without a centralized controller. Classically, such problems are modeled as static balls into bins processes, where $m$ balls (tasks)…

分布式、并行与集群计算 · 计算机科学 2016-03-08 Petra Berenbrink , Tom Friedetzky , Peter Kling , Frederik Mallmann-Trenn , Lars Nagel , Chris Wastell

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,…

神经与进化计算 · 计算机科学 2020-07-28 Camelia-M. Pintea , Cristian Pascan , Mara Hajdu-Macelaru

We consider the unbalanced allocation of $m$ balls into $n$ bins by a randomized algorithm using the "power of two choices". For each ball, we select a set of bins at random, then place the ball in the fullest bin within the set.…

离散数学 · 计算机科学 2014-01-03 Amanda Redlich

We study the greedy-based online algorithm for edge-weighted matching with (one-sided) vertex arrivals in bipartite graphs, and edge arrivals in general graphs. This algorithm was first studied more than a decade ago by Korula and P\'al for…

数据结构与算法 · 计算机科学 2021-12-28 Haim Kaplan , David Naori , Danny Raz

We propose a randomized greedy search algorithm to find a point estimate for a random partition based on a loss function and posterior Monte Carlo samples. Given the large size and awkward discrete nature of the search space, the…

统计方法学 · 统计学 2021-05-11 David B. Dahl , Devin J. Johnson , Peter Mueller

We study parallel algorithms for the classical balls-into-bins problem, in which $m$ balls acting in parallel as separate agents are placed into $n$ bins. Algorithms operate in synchronous rounds, in each of which balls and bins exchange…

分布式、并行与集群计算 · 计算机科学 2019-04-17 Christoph Lenzen , Merav Parter , Eylon Yogev

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.…

数据结构与算法 · 计算机科学 2015-12-02 Ajil Jalal , Rahul Vaze , Umang Bhaskar

There has been a recent explosion in the size of stored data, partially due to advances in storage technology, and partially due to the growing popularity of cloud-computing and the vast quantities of data generated. This motivates the need…

数据结构与算法 · 计算机科学 2012-12-06 Isabelle Stanton

Balanced allocation of online balls-into-bins has long been an active area of research for efficient load balancing and hashing applications.There exists a large number of results in this domain for different settings, such as parallel…

数据结构与算法 · 计算机科学 2011-12-30 Sourav Dutta , Souvik Bhattacherjee , Ankur Narang

The integration of intermittent and stochastic renewable energy resources requires increased flexibility in the operation of the electric grid. Storage, broadly speaking, provides the flexibility of shifting energy over time; network, on…

最优化与控制 · 数学 2014-11-05 Junjie Qin , Yinlam Chow , Jiyan Yang , Ram Rajagopal

We study the performance of a best reply algorithm for online resource allocation problems with a diseconomy of scale. In an online resource allocation problem, we are given a set of resources and a set of requests that arrive in an online…

数据结构与算法 · 计算机科学 2019-07-18 Max Klimm , Daniel Schmand , Andreas Tönnis

We explore a novel theoretical model for studying the performance of distributed storage management systems where the data-centers have limited capacities (as compared to storage space requested by the users). Prior schemes such as…

数据结构与算法 · 计算机科学 2012-06-19 Ankur Sahai

In this paper, we focus on a multi-queue buffer management in which packets of different values are segregated in different queues. Our model consists of m packets values and m queues. Recently, Al-Bawani and Souza (arXiv:1103.6049v2…

离散数学 · 计算机科学 2011-12-30 Toshiya Itoh , Seiji Yoshimoto

We empirically analyze a simple heuristic for large sparse set cover problems. It uses the weighted greedy algorithm as a basic building block. By multiplicative updates of the weights attached to the elements, the greedy solution is…

数据结构与算法 · 计算机科学 2020-10-30 Marc Alexa

We study an online allocation problem with sequentially arriving items and adversarially chosen agent values, with the goal of balancing fairness and efficiency. Our goal is to study the performance of algorithms that achieve strong…

计算机科学与博弈论 · 计算机科学 2023-08-21 Zongjun Yang , Luofeng Liao , Christian Kroer

We consider an infinite balls-into-bins process with deletions where in each discrete step $t$ a coin is tossed as to whether, with probability $\beta(t) \in (0,1)$, a new ball is allocated using the Greedy[2] strategy (which places the…

分布式、并行与集群计算 · 计算机科学 2025-10-17 Petra Berenbrink , Tom Friedetzky , Peter Kling , Lars Nagel

Consider two ordered positive real number arrays of equal size. The problem is to find such set of indices of given size that the ratio of the sums of the array elements with those indices is minimized. In this work, in order to mitigate…

组合数学 · 数学 2015-09-22 Alexander Lozovskiy

Motivated by sequential budgeted allocation problems, we investigate online matching problems where connections between vertices are not i.i.d., but they have fixed degree distributions -- the so-called configuration model. We estimate the…

数据结构与算法 · 计算机科学 2021-07-05 Nathan Noiry , Flore Sentenac , Vianney Perchet
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