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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

A priority queue is presented that supports the operations insert and find-min in worst-case constant time, and delete and delete-min on element x in worst-case O(lg(min{w_x, q_x}+2)) time, where w_x (respectively q_x) is the number of…

Data Structures and Algorithms · Computer Science 2010-09-29 Amr Elmasry , Arash Farzan , John Iacono

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

We investigate the limits of one of the fundamental ideas in data structures: fractional cascading. This is an important data structure technique to speed up repeated searches for the same key in multiple lists and it has numerous…

Data Structures and Algorithms · Computer Science 2020-11-05 Peyman Afshani

In this paper, we shed new light on a classical scheduling problem: given a slot-timed, constant-capacity server, what short-run scheduling decisions must be made to provide long-run service guarantees to competing flows of unit-sized…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Yike Xu , Mark S. Andersland

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

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 are one of the most fundamental and widely used data structures in computer science. Their primary objective is to efficiently support the insertion of new elements with assigned priorities and the extraction of the highest…

Data Structures and Algorithms · Computer Science 2024-11-19 Ziyad Benomar , Christian Coester

A priority queue is a fundamental data structure that maintains a dynamic ordered set of keys and supports the followig basic operations: insertion of a key, deletion of a key, and finding the smallest key. The complexity of the priority…

Data Structures and Algorithms · Computer Science 2012-07-19 Zhewei Wei , Ke Yi

We provide a framework for computing the exact worst-case performance of any algorithm belonging to a broad class of oracle-based first-order methods for composite convex optimization, including those performing explicit, projected,…

Optimization and Control · Mathematics 2019-11-22 Adrien B. Taylor , Julien M. Hendrickx , François Glineur

Worst-case optimal join algorithms have gained a lot of attention in the database literature. We now count with several algorithms that are optimal in the worst case, and many of them have been implemented and validated in practice.…

Databases · Computer Science 2020-01-10 Gonzalo Navarro , Juan L. Reutter , Javiel Rojas-Ledesma

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 this paper, we study the communication complexity for the problem of computing a conjunctive query on a large database in a parallel setting with $p$ servers. In contrast to previous work, where upper and lower bounds on the…

Databases · Computer Science 2016-04-08 Paul Beame , Paraschos Koutris , Dan Suciu

Concurrent data structures often require additional memory for handling synchronization issues in addition to memory for storing elements. Depending on the amount of this additional memory, implementations can be more or less…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-17 Vitaly Aksenov , Nikita Koval , Petr Kuznetsov , Anton Paramonov

The best-known fully retroactive priority queue costs $O(\log^2 m \log \log m)$ time per operation and uses $O(m \log m)$ space, where $m$ is the number of operations performed on the data structure. In contrast, standard (non-retroactive)…

Data Structures and Algorithms · Computer Science 2026-04-16 Lucas Castro , Rosiane de Freitas

For many data-processing applications, a comprehensive set of efficient operations for the management of priority values is required. Indexed priority queues are particularly promising to satisfy this requirement by design. In this work, we…

Data Structures and Algorithms · Computer Science 2023-12-07 Christian Loeffeld

This paper studies a scheduling problem in a parallel machine setting, where each machine must adhere to a predetermined fixed order for processing the jobs. Given $n$ jobs, each with processing times and deadlines, we aim to minimize the…

Data Structures and Algorithms · Computer Science 2025-05-16 Andre Berger , Arman Rouhani , Marc Schröder

This work is in the line of designing efficient checkers for testing the reliability of some massive data structures. Given a sequential access to the insert/extract operations on such a structure, one would like to decide, a posteriori…

Data Structures and Algorithms · Computer Science 2012-09-25 Nathanaël François , Frederic Magniez

We propose an approach to utilize idle computational resources of supercomputers. The idea is to maintain an additional queue of low-priority non-parallel jobs and execute them in containers, using container migration tools to break the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-04 Julia Dubenskaya , Stanislav Polyakov
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