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Optimization and Mathematical Modeling in Computer Architecture

Optimization and Mathematical Modeling in Computer Architecture
Author: Karu Sankaralingam
Publisher: Springer Nature
Total Pages: 144
Release: 2022-05-31
Genre: Technology & Engineering
ISBN: 3031017730

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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.


Mathematical Modeling and Optimization

Mathematical Modeling and Optimization
Author: Tony Hürlimann
Publisher: Springer Science & Business Media
Total Pages: 323
Release: 2013-03-14
Genre: Mathematics
ISBN: 147575793X

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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.


Mathematical Modeling and Optimization of Complex Structures

Mathematical Modeling and Optimization of Complex Structures
Author: Pekka Neittaanmäki
Publisher: Springer
Total Pages: 328
Release: 2015-10-07
Genre: Technology & Engineering
ISBN: 3319235648

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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.


On Optimization in Computer Aided Architectural Design

On Optimization in Computer Aided Architectural Design
Author: Antony D. Radford
Publisher:
Total Pages: 18
Release: 1980
Genre: Architectural design
ISBN:

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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.


Using Applied Mathematical Models for Business Transformation

Using Applied Mathematical Models for Business Transformation
Author: Trad, Antoine
Publisher: IGI Global
Total Pages: 543
Release: 2019-12-20
Genre: Business & Economics
ISBN: 1799810119

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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.


Advances in Mathematical Methods and High Performance Computing

Advances in Mathematical Methods and High Performance Computing
Author: Vinai K. Singh
Publisher: Springer
Total Pages: 503
Release: 2019-02-14
Genre: Computers
ISBN: 3030024873

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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.


Modeling and Optimization in Space Engineering

Modeling and Optimization in Space Engineering
Author: Giorgio Fasano
Publisher: Springer Science & Business Media
Total Pages: 409
Release: 2012-10-23
Genre: Mathematics
ISBN: 1461444683

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This volume presents a selection of advanced case studies that address a substantial range of issues and challenges arising in space engineering. The contributing authors are well-recognized researchers and practitioners in space engineering and in applied optimization. The key mathematical modeling and numerical solution aspects of each application case study are presented in sufficient detail. Classic and more recent space engineering problems – including cargo accommodation and object placement, flight control of satellites, integrated design and trajectory optimization, interplanetary transfers with deep space manoeuvres, low energy transfers, magnetic cleanliness modeling, propulsion system design, sensor system placement, systems engineering, space traffic logistics, and trajectory optimization – are discussed. Novel points of view related to computational global optimization and optimal control, and to multidisciplinary design optimization are also given proper emphasis. A particular attention is paid also to scenarios expected in the context of future interplanetary explorations. Modeling and Optimization in Space Engineering will benefit researchers and practitioners working on space engineering applications. Academics, graduate and post-graduate students in the fields of aerospace and other engineering, applied mathematics, operations research and optimal control will also find the book useful, since it discusses a range of advanced model development and solution techniques and tools in the context of real-world applications and new challenges.


Advances on Mathematical Modeling and Optimization with Its Applications

Advances on Mathematical Modeling and Optimization with Its Applications
Author: Gunjan Mukherjee
Publisher: Emerging Technologies
Total Pages: 0
Release: 2024-03-22
Genre: Computers
ISBN: 9781032479613

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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.


Methods and Models in Mathematical Programming

Methods and Models in Mathematical Programming
Author: S. A. MirHassani
Publisher: Springer Nature
Total Pages: 389
Release: 2019-12-09
Genre: Mathematics
ISBN: 3030270459

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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.