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In this paper we develop optimal algorithms in the binary-forking model for a variety of fundamental problems, including sorting, semisorting, list ranking, tree contraction, range minima, and ordered set union, intersection and difference.…

Data Structures and Algorithms · Computer Science 2020-06-26 Guy E. Blelloch , Jeremy T. Fineman , Yan Gu , Yihan Sun

We study the problem of scheduling jobs on parallel machines minimizing the total completion time, with each job using exactly one resource. First, we derive fundamental properties of the problem and show that the problem is polynomially…

Discrete Mathematics · Computer Science 2018-11-19 T. Janssen , C. Swennenhuis , A. Bitar , T. Bosman , D. Gijswijt , L. van Iersel , S. Dauzére-Pérès , C. Yugma

Parallel machine scheduling has been extensively studied in the past decades, with applications ranging from production planning to job processing in large computing clusters. In this work we study some of these fundamental optimization…

Data Structures and Algorithms · Computer Science 2015-09-08 Yael Mordechai

Data processing systems offer an ever increasing degree of parallelism on the levels of cores, CPUs, and processing nodes. Query optimization must exploit high degrees of parallelism in order not to gradually become the bottleneck of query…

Databases · Computer Science 2015-11-06 Immanuel Trummer , Christoph Koch

Finding a maximum clique in a given graph is one of the fundamental NP-hard problems. We compare two multi-core thread-parallel adaptations of a state-of-the-art branch and bound algorithm for the maximum clique problem, and provide a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-05 Ciaran McCreesh , Patrick Prosser

Processing computation-intensive jobs at multiple processing cores in parallel is essential in many real-world applications. In this paper, we consider an idealised model for job parallelism in which a job can be served simultaneously by…

Probability · Mathematics 2022-07-22 Ayalvadi Ganesh , Arpan Mukhopadhyay

Lazy search algorithms have been developed to efficiently solve planning problems in domains where the computational effort is dominated by the cost of edge evaluation. The existing algorithms operate by intelligently balancing…

Robotics · Computer Science 2023-01-16 Shohin Mukherjee , Sandip Aine , Maxim Likhachev

Applications in science and engineering often require huge computational resources for solving problems within a reasonable time frame. Parallel supercomputers provide the computational infrastructure for solving such problems. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Rajesh Sudarsan , Calvin J. Ribbens

We study the problem of computing a full Conjunctive Query in parallel using $p$ heterogeneous machines. Our computational model is similar to the MPC model, but each machine has its own cost function mapping from the number of bits it…

Databases · Computer Science 2025-03-12 Simon Frisk , Paraschos Koutris

Over the past few years, self-attention is shining in the field of deep learning, especially in the domain of natural language processing(NLP). Its impressive effectiveness, along with ubiquitous implementations, have aroused our interest…

Machine Learning · Computer Science 2020-12-03 Mingfei Yu , Masahiro Fujita

We present a parallel algorithm for computing the minimum s-t cut in structured 3-dimensional proper order graphs arising from image segmentation problems. Proper order graphs are multi-column structures where vertices are arranged in…

Data Structures and Algorithms · Computer Science 2026-01-27 Shridharan Chandramouli

As the gap between compute and I/O performance tends to grow, modern High-Performance Computing (HPC) architectures include a new resource type: an intermediate persistent fast memory layer, called burst buffers. This is just one of many…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-01 Adrian Naruszko , Bartłomiej Przybylski , Krzysztof Rzadca

The working-set bound [Sleator and Tarjan, J. ACM, 1985] roughly states that searching for an element is fast if the element was accessed recently. Binary search trees, such as splay trees, can achieve this property in the amortized sense,…

Data Structures and Algorithms · Computer Science 2009-07-14 Prosenjit Bose , Karim Douïeb , Vida Dujmović , John Howat

The ordered set is one of the most important data type in both theoretical algorithm design and analysis and practical programming. In this paper we study the set operations on two ordered sets, including Union, Intersect and Difference,…

Data Structures and Algorithms · Computer Science 2016-11-15 Guy Blelloch , Daniel Ferizovic , Yihan Sun

The range, segment and rectangle query problems are fundamental problems in computational geometry, and have extensive applications in many domains. Despite the significant theoretical work on these problems, efficient implementations can…

Computational Geometry · Computer Science 2018-08-08 Yihan Sun , Guy E. Blelloch

Real-time scheduling and locking protocols are fundamental facilities to construct time-critical systems. For parallel real-time tasks, predictable locking protocols are required when concurrent sub-jobs mutually exclusive access to shared…

Operating Systems · Computer Science 2020-07-03 Maolin Yang , Zewei Chen , Xu Jiang , Nan Guan , Hang Lei

Parallelization of A* path planning is mostly limited by the number of possible motions, which is far less than the level of parallelism that modern processors support. In this paper, we go beyond the limitations of traditional parallelism…

Robotics · Computer Science 2021-02-16 Mohammad Bakhshalipour , Mohamad Qadri , Dominic Guri

Randomized parallel algorithms for many fundamental problems achieve optimal linear work in expectation, but upgrading this guarantee to hold with high probability (whp) remains a recurring theoretical challenge. In this paper, we address…

Data Structures and Algorithms · Computer Science 2026-03-03 Chase Hutton , Adam Melrod

Consider the classical Min-Sum Set Cover problem: We are given a universe $\mathcal{U}$ of $n$ elements and a collection $\mathcal{S}$ of $k$ subsets of $\mathcal{U}$. Moreover, a cost function is associated with each set. The goal is to…

Data Structures and Algorithms · Computer Science 2026-05-29 Michał Szyfelbein

Modern data centers serve workloads which are capable of exploiting parallelism. When a job parallelizes across multiple servers it will complete more quickly, but jobs receive diminishing returns from being allocated additional servers.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-20 Benjamin Berg , Rein Vesilo , Mor Harchol-Balter