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A priority queue is a fundamental data structure that maintains a dynamic set of (key, priority)-pairs and supports Insert, Delete, ExtractMin and DecreaseKey operations. In the external memory model, the current best priority queue…

Data Structures and Algorithms · Computer Science 2018-06-21 Shunhua Jiang , Kasper Green Larsen

One of the biggest open problems in external memory data structures is the priority queue problem with DecreaseKey operations. If only Insert and ExtractMin operations need to be supported, one can design a comparison-based priority queue…

Data Structures and Algorithms · Computer Science 2016-11-04 Kasper Eenberg , Kasper Green Larsen , Huacheng Yu

In the age of big data, sorting is an indispensable operation for DBMSes and similar systems. Having data sorted can help produce query plans with significantly lower run times. It also can provide other benefits like having non-blocking…

Databases · Computer Science 2022-07-27 Michael Polyntsov , Valentin Grigorev , Kirill Smirnov , George Chernishev

In recent years the Cache-Oblivious model of external memory computation has provided an attractive theoretical basis for the analysis of algorithms on massive datasets. Much progress has been made in discovering algorithms that are…

Data Structures and Algorithms · Computer Science 2008-02-08 Benjamin Sach , Raphaël Clifford

In the unit-cost comparison model, a black box takes an input two items and outputs the result of the comparison. Problems like sorting and searching have been studied in this model, and it has been generalized to include the concept of…

Data Structures and Algorithms · Computer Science 2020-04-29 Michael A. Bender , Mayank Goswami , Dzejla Mededovic , Pablo Montes , Kostas Tsichlas

Priority queues are abstract data structures which store a set of key/value pairs and allow efficient access to the item with the minimal (maximal) key. Such queues are an important element in various areas of computer science such as…

Data Structures and Algorithms · Computer Science 2015-09-24 Jakob Gruber

In recent years a large number of problems have been considered in external memory models of computation, where the complexity measure is the number of blocks of data that are moved between slow external memory and fast internal memory…

Data Structures and Algorithms · Computer Science 2013-12-11 Lars Arge , Mikkel Thorup

We propose the design and an implementation of a bulk-parallel external memory priority queue to take advantage of both shared-memory parallelism and high external memory transfer speeds to parallel disks. To achieve higher performance by…

Data Structures and Algorithms · Computer Science 2015-04-03 Timo Bingmann , Thomas Keh , Peter Sanders

Priority queues are fundamental abstract data structures, often used to manage limited resources in parallel programming. Several proposed parallel priority queue implementations are based on skiplists, harnessing the potential for…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-06 Irina Calciu , Hammurabi Mendes , Maurice Herlihy

Consider the following random process: we are given $n$ queues, into which elements of increasing labels are inserted uniformly at random. To remove an element, we pick two queues at random, and remove the element of lower label (higher…

Data Structures and Algorithms · Computer Science 2017-06-14 Dan Alistarh , Justin Kopinsky , Jerry Li , Giorgi Nadiradze

Priority queues with parallel access are an attractive data structure for applications like prioritized online scheduling, discrete event simulation, or branch-and-bound. However, a classical priority queue constitutes a severe bottleneck…

Data Structures and Algorithms · Computer Science 2014-11-06 Hamza Rihani , Peter Sanders , Roman Dementiev

Sorting extremely large datasets is a frequently occuring task in practice. These datasets are usually much larger than the computer's main memory; thus external memory sorting algorithms, first introduced by Aggarwal and Vitter (1988), are…

Data Structures and Algorithms · Computer Science 2018-11-06 Alireza Farhadi , MohammadTaghi Hajiaghayi , Kasper Green Larsen , Elaine Shi

We engineer algorithms for sorting huge data sets on massively parallel machines. The algorithms are based on the multiway merging paradigm. We first outline an algorithm whose I/O requirement is close to a lower bound. Thus, in contrast to…

Data Structures and Algorithms · Computer Science 2009-10-15 Mirko Rahn , Peter Sanders , Johannes Singler

Priority queues are data structures which store keys in an ordered fashion to allow efficient access to the minimal (maximal) key. Priority queues are essential for many applications, e.g., Dijkstra's single-source shortest path algorithm,…

Data Structures and Algorithms · Computer Science 2015-03-20 Martin Wimmer , Jakob Gruber , Jesper Larsson Träff , Philippas Tsigas

Priority queues are container data structures essential to many high performance computing (HPC) applications. In this paper, we introduce multiresolution priority queues, a data structure that improves the performance of the standard heap…

Data Structures and Algorithms · Computer Science 2017-08-11 Jordi Ros-Giralt , Alan Commike , Peter Cullen , Jeff Lucovsky , Dilip Madathil , Richard Lethin

Priority queues with parallel access are an attractive data structure for applications like prioritized online scheduling, discrete event simulation, or greedy algorithms. However, a classical priority queue constitutes a severe bottleneck…

Data Structures and Algorithms · Computer Science 2021-07-23 Marvin Williams , Peter Sanders , Roman Dementiev

We study the problem of list ranking in the parallel external memory (PEM) model. We observe an interesting dual nature for the hardness of the problem due to limited information exchange among the processors about the structure of the…

Data Structures and Algorithms · Computer Science 2014-09-08 Riko Jacob , Tobias Lieber , Nodari Sitchinava

The input/output complexity, which is the complexity of data exchange between the main memory and the external memory, has been elaborately studied by a lot of former researchers. However, the existing works failed to consider the…

Computational Complexity · Computer Science 2022-08-23 Hengzhao Ma , Jianzhong Li , Xiangyu Gao , Tianpeng Gao

Priority queues are used in a wide range of applications, including prioritized online scheduling, discrete event simulation, and greedy algorithms. In parallel settings, classical priority queues often become a severe bottleneck, resulting…

Data Structures and Algorithms · Computer Science 2025-04-17 Marvin Williams , Peter Sanders

With the increasing size of datasets and demand for real time response for interactive applications, improving runtime for algorithms with excessive computational requirements has become increasingly important. Many different algorithms…

Computer Vision and Pattern Recognition · Computer Science 2019-05-09 Magnus Gedda
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