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In this paper, we present FLiMS, a highly-efficient and simple parallel algorithm for merging two sorted lists residing in banked and/or wide memory. On FPGAs, its implementation uses fewer hardware resources than the state-of-the-art…

Hardware Architecture · Computer Science 2022-03-08 Philippos Papaphilippou , Wayne Luk , Chris Brooks

The emergence of high-bandwidth memory (HBM) brings new opportunities to boost the performance of sorting acceleration on FPGAs, which was conventionally bounded by the available off-chip memory bandwidth. However, it is nontrivial for…

Hardware Architecture · Computer Science 2022-05-18 Weikang Qiao , Licheng Guo , Zhenman Fang , Mau-Chung Frank Chang , Jason Cong

Sorting is a primitive operation that is a building block for countless algorithms. As such, it is important to design sorting algorithms that approach peak performance on a range of hardware architectures. Graphics Processing Units (GPUs)…

Data Structures and Algorithms · Computer Science 2017-03-31 Henri Casanova , John Iacono , Ben Karsin , Nodari Sitchinava , Volker Weichert

Sorting is a fundamental operation in various applications and a traditional research topic in computer science. Improving the performance of sorting operations can have a significant impact on many application domains. For high-performance…

Hardware Architecture · Computer Science 2023-10-13 Amir Hossein Jalilvand , Faeze S. Banitaba , Seyedeh Newsha Estiri , Sercan Aygun , M. Hassan Najafi

Given a sequence of $n$ numbers and $k$ parallel First-in-First-Out (FIFO) queues, how close can one bring the sequence to sorted order? It is known that $k$ queues suffice to sort the sequence if the Longest Decreasing Subsequence (LDS) of…

Data Structures and Algorithms · Computer Science 2025-09-17 Andreas Karrenbauer , Kurt Mehlhorn , Pranabendu Misra , Paolo Luigi Rinaldi , Anna Twelsiek , Alireza Haqi , Siavash Rahimi Shateranloo

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

Sorting algorithms are the most extensively researched topics in computer science and serve for numerous practical applications. Although various sorts have been proposed for efficiency, different architectures offer distinct flavors to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-09 Jincheng Zhou , Jin Zhang , Xiang Zhang , Tiaojie Xiao , Di Ma , Chunye Gong

Sorting a set of items is a task that can be useful by itself or as a building block for more complex operations. The more sophisticated and fast sorting algorithms become asymptotically, the less efficient they are for small sets of items…

Data Structures and Algorithms · Computer Science 2019-08-23 Jasper Marianczuk

Sorting a set of items is a task that can be useful by itself or as a building block for more complex operations. That is why a lot of effort has been put into finding sorting algorithms that sort large sets as fast as possible. But the…

Data Structures and Algorithms · Computer Science 2020-10-05 Timo Bingmann , Jasper Marianczuk , Peter Sanders

Sorting is a fundamental operation across numerous computational domains. Traditionally, this process involves transferring data from main memory to a processing unit for sorting, followed by writing the sorted data back to memory. This…

Hardware Architecture · Computer Science 2026-05-18 Narendra Singh Dhakad , Santosh Kumar Vishvakarma

With the hardware offloading of network functions, network interface cards (NICs) undertake massive stateful, high-precision, and high-throughput tasks, where timers serve as a critical enabling component. However, existing timer management…

Data Structures and Algorithms · Computer Science 2026-04-14 Zekun Wang , Binghao Yue , Weitao Pan , Jianyi Shi , Yue Hao

The two most prominent solutions for the sorting problem are Quicksort and Mergesort. While Quicksort is very fast on average, Mergesort additionally gives worst-case guarantees, but needs extra space for a linear number of elements.…

Data Structures and Algorithms · Computer Science 2018-11-05 Stefan Edelkamp , Armin Weiß

We introduce new stable natural merge sort algorithms, called $2$-merge sort and $\alpha$-merge sort. We prove upper and lower bounds for several merge sort algorithms, including Timsort, Shivers' sort, $\alpha$-stack sorts, and our new…

Data Structures and Algorithms · Computer Science 2019-02-12 Sam Buss , Alexander Knop

Sorting is one of the fundamental problems in computer science. Playing a role in many processes, it has a lower complexity bound imposed by $\mathcal{O}(n\log{n})$ when executing on a sequential machine. This limit can be brought down to…

Hardware Architecture · Computer Science 2025-07-23 Daniel Bascones , Borja Morcillo

We present a stable mergesort variant, Multiway Powersort, that exploits existing runs and finds nearly-optimal merging orders for k-way merges with negligible overhead. This builds on Powersort (Munro & Wild, ESA2018), which has recently…

Data Structures and Algorithms · Computer Science 2023-01-18 William Cawley Gelling , Markus E. Nebel , Benjamin Smith , Sebastian Wild

Two emerging hardware trends will dominate the database system technology in the near future: increasing main memory capacities of several TB per server and massively parallel multi-core processing. Many algorithmic and control techniques…

Databases · Computer Science 2012-07-03 Martina-Cezara Albutiu , Alfons Kemper , Thomas Neumann

We present four high performance hybrid sorting methods developed for various parallel platforms: shared memory multiprocessors, distributed multiprocessors, and clusters taking advantage of existence of both shared and distributed memory.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-04 Thoria Alghamdi , Gita Alaghband

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

Various decision support systems are available that implement Data Mining and Data Warehousing techniques for diving into the sea of data for getting useful patterns of knowledge (pearls). Classification, regression, clustering, and many…

Cryptography and Security · Computer Science 2024-03-01 Mohammad Khalid Imam Rahmani

This article introduces a new optimization method to improve mergesort's runtime complexity, when sorting sequences that have equal keys to $O(n log_2 k)$, where $k$ is the number of distinct keys in the sequence. When $k$ is constant, it…

Data Structures and Algorithms · Computer Science 2020-12-17 Albert Tedja
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