Optimal Design of Sorting Networks

Optimal Design of Sorting Networks PDF Author: W. A. Horn
Publisher:
ISBN:
Category : Mail sorting
Languages : en
Pages :

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Optimal Design of Sorting Networks

Optimal Design of Sorting Networks PDF Author: W. A. Horn
Publisher:
ISBN:
Category : Mail sorting
Languages : en
Pages :

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Book Description


Designing Sorting Networks

Designing Sorting Networks PDF Author: Sherenaz W. Al-Haj Baddar
Publisher: Springer Science & Business Media
ISBN: 1461418518
Category : Computers
Languages : en
Pages : 132

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Book Description
Designing Sorting Networks: A New Paradigm provides an in-depth guide to maximizing the efficiency of sorting networks, and uses 0/1 cases, partially ordered sets and Haase diagrams to closely analyze their behavior in an easy, intuitive manner. This book also outlines new ideas and techniques for designing faster sorting networks using Sortnet, and illustrates how these techniques were used to design faster 12-key and 18-key sorting networks through a series of case studies. Finally, it examines and explains the mysterious behavior exhibited by the fastest-known 9-step 16-key network. Designing Sorting Networks: A New Paradigm is intended for advanced-level students, researchers and practitioners as a reference book. Academics in the fields of computer science, engineering and mathematics will also find this book invaluable.

On Optimal Parallelization of Sorting Networks

On Optimal Parallelization of Sorting Networks PDF Author: Iowa State University. Dept. of Computer Science
Publisher:
ISBN:
Category : Sorting (Electronic computers)
Languages : en
Pages : 12

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Single-exception Sorting Networks and the Computational Complexity of Optimal Sorting Network Verification

Single-exception Sorting Networks and the Computational Complexity of Optimal Sorting Network Verification PDF Author: Pennsylvania State University. Dept. of Computer Science
Publisher:
ISBN:
Category : Sorting (Electronic computers)
Languages : en
Pages : 18

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Journal of Research of the National Bureau of Standards

Journal of Research of the National Bureau of Standards PDF Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 458

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Sorting Network

Sorting Network PDF Author: Gerardus Blokdyk
Publisher: Createspace Independent Publishing Platform
ISBN: 9781718625495
Category :
Languages : en
Pages : 108

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Book Description
What are the compelling business reasons for embarking on Sorting network? What situation(s) led to this Sorting network Self Assessment? Does Sorting network systematically track and analyze outcomes for accountability and quality improvement? Does Sorting network include applications and information with regulatory compliance significance (or other contractual conditions that must be formally complied with) in a new or unique manner for which no approved security requirements, templates or design models exist? What are your current levels and trends in key Sorting network measures or indicators of product and process performance that are important to and directly serve your customers? Defining, designing, creating, and implementing a process to solve a challenge or meet an objective is the most valuable role... In EVERY group, company, organization and department. Unless you are talking a one-time, single-use project, there should be a process. Whether that process is managed and implemented by humans, AI, or a combination of the two, it needs to be designed by someone with a complex enough perspective to ask the right questions. Someone capable of asking the right questions and step back and say, 'What are we really trying to accomplish here? And is there a different way to look at it?' This Self-Assessment empowers people to do just that - whether their title is entrepreneur, manager, consultant, (Vice-)President, CxO etc... - they are the people who rule the future. They are the person who asks the right questions to make Sorting network investments work better. This Sorting network All-Inclusive Self-Assessment enables You to be that person. All the tools you need to an in-depth Sorting network Self-Assessment. Featuring 487 new and updated case-based questions, organized into seven core areas of process design, this Self-Assessment will help you identify areas in which Sorting network improvements can be made. In using the questions you will be better able to: - diagnose Sorting network projects, initiatives, organizations, businesses and processes using accepted diagnostic standards and practices - implement evidence-based best practice strategies aligned with overall goals - integrate recent advances in Sorting network and process design strategies into practice according to best practice guidelines Using a Self-Assessment tool known as the Sorting network Scorecard, you will develop a clear picture of which Sorting network areas need attention. Your purchase includes access details to the Sorting network self-assessment dashboard download which gives you your dynamically prioritized projects-ready tool and shows your organization exactly what to do next. Your exclusive instant access details can be found in your book.

Introduction to Parallel Processing

Introduction to Parallel Processing PDF Author: Behrooz Parhami
Publisher: Springer Science & Business Media
ISBN: 0306469642
Category : Business & Economics
Languages : en
Pages : 512

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Book Description
THE CONTEXT OF PARALLEL PROCESSING The field of digital computer architecture has grown explosively in the past two decades. Through a steady stream of experimental research, tool-building efforts, and theoretical studies, the design of an instruction-set architecture, once considered an art, has been transformed into one of the most quantitative branches of computer technology. At the same time, better understanding of various forms of concurrency, from standard pipelining to massive parallelism, and invention of architectural structures to support a reasonably efficient and user-friendly programming model for such systems, has allowed hardware performance to continue its exponential growth. This trend is expected to continue in the near future. This explosive growth, linked with the expectation that performance will continue its exponential rise with each new generation of hardware and that (in stark contrast to software) computer hardware will function correctly as soon as it comes off the assembly line, has its down side. It has led to unprecedented hardware complexity and almost intolerable dev- opment costs. The challenge facing current and future computer designers is to institute simplicity where we now have complexity; to use fundamental theories being developed in this area to gain performance and ease-of-use benefits from simpler circuits; to understand the interplay between technological capabilities and limitations, on the one hand, and design decisions based on user and application requirements on the other.

Projects and Publications of the National Applied Mathematics Laboratories

Projects and Publications of the National Applied Mathematics Laboratories PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 32

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Finding Better Sorting Networks

Finding Better Sorting Networks PDF Author: Sherenaz Waleed Al-Haj Baddar
Publisher:
ISBN:
Category : Sorting (Electronic computers)
Languages : en
Pages : 75

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Book Description
Sorting networks are cost-effective multistage interconnection networks with sorting capabilities. AKS Sorting networks sort N keys in C(logN) steps, but the constant C is so high as to render these networks impractical. The fastest Sorting networks designed so far use merge-sorting and sort N keys in O((logN)(logN)) steps. A network that sorts 16 keys in 9 steps was discovered by Van Voorhis. This network is faster than the 10-step merge-sorting network for 16 keys. This suggests that networks that are faster than merge-sorting networks can be designed. It is necessary to bridge the gap between the optimal impractical solutions and the practical solutions. This research aims at achieving this goal via finding a technique for designing faster Sorting networks, i.e. networks that require fewer steps than the corresponding merge-sorting networks. A zero/one case is a sequence of N binary keys. Using zero/one cases to help design Sorting networks, is advantageous since it simplifies the sorting task, and helps track the progress of sorting. To help synthesize and analyze Sorting networks, Batcher developed the software tool Sortnet, which utilizes zero/one cases. With the help of Sortnet, a three-phase technique for designing Sorting networks that are faster than the merge-sorting networks was developed. The technique can also be used to design faster sorting programs in parallel processors. This technique is illustrated with two network designs that are faster than the corresponding merge-sorting designs: an 18-key network using only 11 steps and a 22-key network using only 12 steps.

On the Computational Complexity of Optimal Sorting Network Verification

On the Computational Complexity of Optimal Sorting Network Verification PDF Author: Ian Parberry
Publisher:
ISBN:
Category : Computational complexity
Languages : en
Pages : 34

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Book Description
Abstract: "A sorting network is a combinational circuit for sorting, constructed from comparison-swap units. The depth of such a circuit is a measure of its running time. It is reasonable to hypothesize that only the fastest (that is, the shallowest) networks are likely to be fabricated. It is shown that the problem of verifying that a given sorting network actually sorts is Co-NP complete even for sorting networks of depth only 4[log n] + 0(1) greater than optimal. This is shallower than previous depth bounds by a factor of two."