Optimization And Mathematical Modeling In Computer Architecture

Author : Karu Sankaralingam,Michael Ferris,Tony Nowatzki
Publisher : Springer Nature
Page : 144 pages
File Size : 55,7 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031017735

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Optimization and Mathematical Modeling in Computer Architecture by Karu Sankaralingam,Michael Ferris,Tony Nowatzki Pdf

In this book we give an overview of modeling techniques used to describe computer systems to mathematical optimization tools. We give a brief introduction to various classes of mathematical optimization frameworks with special focus on mixed integer linear programming which provides a good balance between solver time and expressiveness. We present four detailed case studies -- instruction set customization, data center resource management, spatial architecture scheduling, and resource allocation in tiled architectures -- showing how MILP can be used and quantifying by how much it outperforms traditional design exploration techniques. This book should help a skilled systems designer to learn techniques for using MILP in their problems, and the skilled optimization expert to understand the types of computer systems problems that MILP can be applied to.

Author : Tony Hürlimann
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 48,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475757934

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Mathematical Modeling and Optimization by Tony Hürlimann Pdf

Computer-based mathematical modeling - the technique of representing and managing models in machine-readable form - is still in its infancy despite the many powerful mathematical software packages already available which can solve astonishingly complex and large models. On the one hand, using mathematical and logical notation, we can formulate models which cannot be solved by any computer in reasonable time - or which cannot even be solved by any method. On the other hand, we can solve certain classes of much larger models than we can practically handle and manipulate without heavy programming. This is especially true in operations research where it is common to solve models with many thousands of variables. Even today, there are no general modeling tools that accompany the whole modeling process from start to finish, that is to say, from model creation to report writing. This book proposes a framework for computer-based modeling. More precisely, it puts forward a modeling language as a kernel representation for mathematical models. It presents a general specification for modeling tools. The book does not expose any solution methods or algorithms which may be useful in solving models, neither is it a treatise on how to build them. No help is intended here for the modeler by giving practical modeling exercises, although several models will be presented in order to illustrate the framework. Nevertheless, a short introduction to the modeling process is given in order to expound the necessary background for the proposed modeling framework.

Author : Antony D. Radford,John S. Gero
Publisher : Unknown
Page : 18 pages
File Size : 40,7 Mb
Release : 1980
Category : Architectural design
ISBN : MINN:31951P01132029C

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On Optimization in Computer Aided Architectural Design by Antony D. Radford,John S. Gero Pdf

This report examines the role of computers in the provision of information for architectural design decision making and compares the potential contributions of simulation, generation and optimization techniques. It argues that optimization models are particularly well suited to the provision of design information because they produce results which are prescriptive, express design options and address the problems of the stability and sensitivity of solutions to change over time. The difficulties posed by the multiple objectives which characterize architectural design problems are discussed and some solution approaches are described. The report concludes that optimization concepts offer a powerful approach to design decision making and warrant much more research activity in the development of techniques and models for application in architecture.

Author : Pekka Neittaanmäki,Sergey Repin,Tero Tuovinen
Publisher : Springer
Page : 328 pages
File Size : 49,8 Mb
Release : 2015-10-07
Category : Technology & Engineering
ISBN : 9783319235646

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Mathematical Modeling and Optimization of Complex Structures by Pekka Neittaanmäki,Sergey Repin,Tero Tuovinen Pdf

This volume contains selected papers in three closely related areas: mathematical modeling in mechanics, numerical analysis, and optimization methods. The papers are based upon talks presented on the International Conference for Mathematical Modeling and Optimization in Mechanics, held in Jyväskylä, Finland, March 6-7, 2014 dedicated to Prof. N. Banichuk on the occasion of his 70th birthday. The articles are written by well-known scientists working in computational mechanics and in optimization of complicated technical models. Also, the volume contains papers discussing the historical development, the state of the art, new ideas, and open problems arising in modern continuum mechanics and applied optimization problems. Several papers are concerned with mathematical problems in numerical analysis, which are also closely related to important mechanical models. The main topics treated include: * Computer simulation methods in mechanics, physics, and biology; * Variational problems and methods; minimization algorithms; * Optimal control problems with distributed and discrete control; * Shape optimization and shape design problems in science and engineering; * Sensitivity analysis and parameters optimization of complex systems.

Author : Trad, Antoine,Kalpi?, Damir
Publisher : IGI Global
Page : 543 pages
File Size : 44,6 Mb
Release : 2019-12-20
Category : Business & Economics
ISBN : 9781799810117

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Using Applied Mathematical Models for Business Transformation by Trad, Antoine,Kalpi?, Damir Pdf

Traditional business practices have been left behind due to the increased use of data analytics and information technology in companies worldwide. This development has led to businesses implementing transformative projects that use these new technologies in their decision-making systems. Altering the entire architecture of a company is a daunting task; however, researchers are finding methods through applied mathematics that can make it easier on companies. Implementing analytical models into current business processes is vital for professionals across the globe. Using Applied Mathematical Models for Business Transformation is an essential reference source that discusses the advancement of decision-making systems in business environments with the use of applied mathematics, algorithms, and information technology. Featuring research on topics such as decision-making systems, critical success factors, and global enterprise architecture, this book is ideally designed for project managers, financial analysts, business strategists, software engineers, technical architects, students, researchers, and educators seeking coverage on the transformation of business practices using applied mathematics and information technology.

Author : S. A. MirHassani,F. Hooshmand
Publisher : Springer Nature
Page : 389 pages
File Size : 44,6 Mb
Release : 2019-12-09
Category : Mathematics
ISBN : 9783030270452

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Methods and Models in Mathematical Programming by S. A. MirHassani,F. Hooshmand Pdf

This book focuses on mathematical modeling, describes the process of constructing and evaluating models, discusses the challenges and delicacies of the modeling process, and explicitly outlines the required rules and regulations so that the reader will be able to generalize and reuse concepts in other problems by relying on mathematical logic.Undergraduate and postgraduate students of different academic disciplines would find this book a suitable option preparing them for jobs and research fields requiring modeling techniques. Furthermore, this book can be used as a reference book for experts and practitioners requiring advanced skills of model building in their jobs.

Author : Hari Angepat,Derek Chiou,Eric S. Chung,James C. Hoe
Publisher : Springer Nature
Page : 64 pages
File Size : 52,8 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031017445

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FPGA-Accelerated Simulation of Computer Systems by Hari Angepat,Derek Chiou,Eric S. Chung,James C. Hoe Pdf

To date, the most common form of simulators of computer systems are software-based running on standard computers. One promising approach to improve simulation performance is to apply hardware, specifically reconfigurable hardware in the form of field programmable gate arrays (FPGAs). This manuscript describes various approaches of using FPGAs to accelerate software-implemented simulation of computer systems and selected simulators that incorporate those techniques. More precisely, we describe a simulation architecture taxonomy that incorporates a simulation architecture specifically designed for FPGA accelerated simulation, survey the state-of-the-art in FPGA-accelerated simulation, and describe in detail selected instances of the described techniques. Table of Contents: Preface / Acknowledgments / Introduction / Simulator Background / Accelerating Computer System Simulators with FPGAs / Simulation Virtualization / Categorizing FPGA-based Simulators / Conclusion / Bibliography / Authors' Biographies

Author : Vinai K. Singh,David Gao,Andreas Fischer
Publisher : Springer
Page : 503 pages
File Size : 49,5 Mb
Release : 2019-02-14
Category : Computers
ISBN : 9783030024871

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Advances in Mathematical Methods and High Performance Computing by Vinai K. Singh,David Gao,Andreas Fischer Pdf

This special volume of the conference will be of immense use to the researchers and academicians. In this conference, academicians, technocrats and researchers will get an opportunity to interact with eminent persons in the field of Applied Mathematics and Scientific Computing. The topics to be covered in this International Conference are comprehensive and will be adequate for developing and understanding about new developments and emerging trends in this area. High-Performance Computing (HPC) systems have gone through many changes during the past two decades in their architectural design to satisfy the increasingly large-scale scientific computing demand. Accurate, fast, and scalable performance models and simulation tools are essential for evaluating alternative architecture design decisions for the massive-scale computing systems. This conference recounts some of the influential work in modeling and simulation for HPC systems and applications, identifies some of the major challenges, and outlines future research directions which we believe are critical to the HPC modeling and simulation community.

Author : Brandon Reagen,Robert Adolf,Paul Whatmough,Gu-Yeon Wei,David Brooks
Publisher : Springer Nature
Page : 109 pages
File Size : 45,5 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031017568

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Deep Learning for Computer Architects by Brandon Reagen,Robert Adolf,Paul Whatmough,Gu-Yeon Wei,David Brooks Pdf

Machine learning, and specifically deep learning, has been hugely disruptive in many fields of computer science. The success of deep learning techniques in solving notoriously difficult classification and regression problems has resulted in their rapid adoption in solving real-world problems. The emergence of deep learning is widely attributed to a virtuous cycle whereby fundamental advancements in training deeper models were enabled by the availability of massive datasets and high-performance computer hardware. This text serves as a primer for computer architects in a new and rapidly evolving field. We review how machine learning has evolved since its inception in the 1960s and track the key developments leading up to the emergence of the powerful deep learning techniques that emerged in the last decade. Next we review representative workloads, including the most commonly used datasets and seminal networks across a variety of domains. In addition to discussing the workloads themselves, we also detail the most popular deep learning tools and show how aspiring practitioners can use the tools with the workloads to characterize and optimize DNNs. The remainder of the book is dedicated to the design and optimization of hardware and architectures for machine learning. As high-performance hardware was so instrumental in the success of machine learning becoming a practical solution, this chapter recounts a variety of optimizations proposed recently to further improve future designs. Finally, we present a review of recent research published in the area as well as a taxonomy to help readers understand how various contributions fall in context.

Author : Neculai Andrei
Publisher : Springer Science & Business Media
Page : 340 pages
File Size : 44,6 Mb
Release : 2013-06-22
Category : Mathematics
ISBN : 9781461467977

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Nonlinear Optimization Applications Using the GAMS Technology by Neculai Andrei Pdf

Here is a collection of nonlinear optimization applications from the real world, expressed in the General Algebraic Modeling System (GAMS). The concepts are presented so that the reader can quickly modify and update them to represent real-world situations.

Author : Yuan Xie,Jishen Zhao
Publisher : Springer Nature
Page : 113 pages
File Size : 48,5 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031017476

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Die-stacking Architecture by Yuan Xie,Jishen Zhao Pdf

The emerging three-dimensional (3D) chip architectures, with their intrinsic capability of reducing the wire length, promise attractive solutions to reduce the delay of interconnects in future microprocessors. 3D memory stacking enables much higher memory bandwidth for future chip-multiprocessor design, mitigating the "memory wall" problem. In addition, heterogenous integration enabled by 3D technology can also result in innovative designs for future microprocessors. This book first provides a brief introduction to this emerging technology, and then presents a variety of approaches to designing future 3D microprocessor systems, by leveraging the benefits of low latency, high bandwidth, and heterogeneous integration capability which are offered by 3D technology.

Author : Pandian Vasant,Igor Litvinchev,José Antonio Marmolejo-Saucedo
Publisher : Springer
Page : 129 pages
File Size : 51,8 Mb
Release : 2017-12-07
Category : Technology & Engineering
ISBN : 9783319705422

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Modeling, Simulation, and Optimization by Pandian Vasant,Igor Litvinchev,José Antonio Marmolejo-Saucedo Pdf

This book features selected contributions in the areas of modeling, simulation, and optimization. The contributors discusses requirements in problem solving for modeling, simulation, and optimization. Modeling, simulation, and optimization have increased in demand in exponential ways and how potential solutions might be reached. They describe how new technologies in computing and engineering have reduced the dimension of data coverage worldwide, and how recent inventions in information and communication technology (ICT) have inched towards reducing the gaps and coverage of domains globally. The chapters cover how the digging of information in a large data and soft-computing techniques have contributed to a strength in prediction and analysis, for decision making in computer science, technology, management, social computing, green computing, and telecom. The book provides an insightful reference to the researchers in the fields of engineering and computer science. Researchers, academics, and professionals will benefit from this volume. Features selected expanded papers in modeling, simulation, and optimization from COMPSE 2016; Includes research into soft computing and its application in engineering and technology; Presents contributions from global experts in academia and industry in modeling, simulation, and optimization.

Author : Gunjan Mukherjee,Biswadip Basu Mallik,Rahul Kar,Aryan Chaudhary
Publisher : Emerging Technologies
Page : 0 pages
File Size : 51,5 Mb
Release : 2024-03-22
Category : Computers
ISBN : 1032479612

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Advances on Mathematical Modeling and Optimization with Its Applications by Gunjan Mukherjee,Biswadip Basu Mallik,Rahul Kar,Aryan Chaudhary Pdf

Discusses machine learning models and their optimization in mathematical modeling. Covers important topics such as linear integer programming, network design problems, mixed integer problems, constrained and unconstrained optimization, constrained integer programming, and gradient-based nonlinear optimization.

Author : Alamir Mohsen
Publisher : Springer Nature
Page : 230 pages
File Size : 43,6 Mb
Release : 2020-05-14
Category : Technology & Engineering
ISBN : 9783658302047

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Design to Manufacture of Complex Building Envelopes by Alamir Mohsen Pdf

This book discusses a new method for the design and engineering of complex façades. Based on the file-to-factory concept, the method combines parametric design approaches and additive manufacturing. Parametric design and additive manufacturing are both growing trends that open up new possibilities. Parametric design approaches change how planners / designers perceive building details. Further, new engineering concepts are needed to cope with the increasing complexity of architectural geometries due to the rapid developments in areas such as façade systems, modeling software and digital manufacturing techniques.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 41,5 Mb
Release : 2024-06-16
Category : Electronic
ISBN : 9789814467896

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Modeling, Computation and Optimization by Anonim Pdf