Discrete Optimization In Architecture


Discrete Optimization In Architecture
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Discrete Optimization In Architecture


Discrete Optimization In Architecture
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Author : Machi Zawidzki
language : en
Publisher: Springer
Release Date : 2016-07-25

Discrete Optimization In Architecture written by Machi Zawidzki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-25 with Technology & Engineering categories.


This book is comprised of two parts, both of which explore modular systems: Pipe-Z (PZ) and Truss-Z (TZ), respectively. It presents several methods of creating PZ and TZ structures subjected to discrete optimization. The algorithms presented employ graph-theoretic and heuristic methods. The underlying idea of both systems is to create free-form structures using the minimal number of types of modular elements. PZ is more conceptual, as it forms single-branch mathematical knots with a single type of module. Conversely, TZ is a skeletal system for creating free-form pedestrian ramps and ramp networks among any number of terminals in space. In physical space, TZ uses two types of modules that are mirror reflections of each other. The optimization criteria discussed include: the minimal number of units, maximal adherence to the given guide paths, etc.



Discrete Optimization In Architecture


Discrete Optimization In Architecture
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Author : Machi Zawidzki
language : en
Publisher: Springer
Release Date : 2016-07-09

Discrete Optimization In Architecture written by Machi Zawidzki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-09 with Technology & Engineering categories.


This book presents three projects that demonstrate the fundamental problems of architectural design and urban composition – the layout design, evaluation and optimization. Part I describes the functional layout design of a residential building, and an evaluation of the quality of a town square (plaza). The algorithm for the functional layout design is based on backtracking using a constraint satisfaction approach combined with coarse grid discretization. The algorithm for the town square evaluation is based on geometrical properties derived directly from its plan. Part II introduces a crowd-simulation application for the analysis of escape routes on floor plans, and optimization of a floor plan for smooth crowd flow. The algorithms presented employ agent-based modeling and cellular automata.



Discrete Optimization In Architecture


Discrete Optimization In Architecture
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Author : Machi Zawidzki
language : en
Publisher: Springer
Release Date : 2016-09-15

Discrete Optimization In Architecture written by Machi Zawidzki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-15 with Technology & Engineering categories.


This book explores the extremely modular systems that meet two criteria: they allow the creation of structurally sound free-form structures, and they are comprised of as few types of modules as possible. Divided into two parts, it presents Pipe-Z (PZ) and Truss-Z (TZ) systems. PZ is more fundamental and forms spatial mathematical knots by assembling one type of unit (PZM). The shape of PZ is controlled by relative twists of a sequence of congruent PZMs. TZ is a skeletal system for creating free-form pedestrian ramps and ramp networks among any number of terminals in space. TZ structures are composed of four variations of a single basic unit subjected to affine transformations (mirror reflection, rotation and combination of both).



Design By Optimization In Architecture Building And Construction


Design By Optimization In Architecture Building And Construction
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Author : Antony Radford
language : en
Publisher: Van Nostrand Reinhold Company
Release Date : 1988

Design By Optimization In Architecture Building And Construction written by Antony Radford and has been published by Van Nostrand Reinhold Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Architecture categories.




Shell Structures For Architecture


Shell Structures For Architecture
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Author : Sigrid Adriaenssens
language : en
Publisher: Routledge
Release Date : 2014-03-21

Shell Structures For Architecture written by Sigrid Adriaenssens and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-21 with Architecture categories.


*** Featuring a foreword by Pritzker Prize Winner Shigeru Ban *** Bringing together experts from research and practice, Shell Structures for Architecture: Form Finding and Optimization presents contemporary design methods for shell and gridshell structures, covering form-finding and structural optimization techniques. It introduces architecture and engineering practitioners and students to structural shells and provides computational techniques to develop complex curved structural surfaces, in the form of mathematics, computer algorithms, and design case studies. • Part I introduces the topic of shells, tracing the ancient relationship between structural form and forces, the basics of shell behaviour, and the evolution of form-finding and structural optimization techniques. • Part II familiarizes the reader with form-finding techniques to explore expressive structural geometries, covering the force density method, thrust network analysis, dynamic relaxation and particle-spring systems. • Part III focuses on shell shape and topology optimization, and provides a deeper understanding of gradient-based methods and meta-heuristic techniques. • Part IV contains precedent studies of realised shells and gridshells describing their innovative design and construction methods.



Parallel Processing Of Discrete Optimization Problems


Parallel Processing Of Discrete Optimization Problems
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Author : Panos M. Pardalos
language : en
Publisher: American Mathematical Soc.
Release Date : 1995-01-01

Parallel Processing Of Discrete Optimization Problems written by Panos M. Pardalos and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.


This book contains papers presented at the Workshop on Parallel Processing of Discrete Optimization Problems held at DIMACS in April 1994. The contents cover a wide spectrum of the most recent algorithms and applications in parallel processing of discrete optimization and related problems. Topics include parallel branch and bound algorithms, scalability, load balancing, parallelism and irregular data structures and scheduling task graphs on parallel machines. Applications include parallel algorithms for solving satisfiability problems, location problems, linear programming, quadratic and linear assignment problems. This book would be suitable as a textbook in advanced courses on parallel algorithms and combinatorial optimization.



Handbook On Modelling For Discrete Optimization


Handbook On Modelling For Discrete Optimization
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Author : Gautam M. Appa
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-18

Handbook On Modelling For Discrete Optimization written by Gautam M. Appa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-18 with Mathematics categories.


This book aims to demonstrate and detail the pervasive nature of Discrete Optimization. The handbook couples the difficult, critical-thinking aspects of mathematical modeling with the hot area of discrete optimization. It is done with an academic treatment outlining the state-of-the-art for researchers across the domains of the Computer Science, Math Programming, Applied Mathematics, Engineering, and Operations Research. The book utilizes the tools of mathematical modeling, optimization, and integer programming to solve a broad range of modern problems.



Enumerating A Diverse Set Of Building Designs Using Discrete Optimization


Enumerating A Diverse Set Of Building Designs Using Discrete Optimization
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Author : Elaine T. Hale
language : en
Publisher:
Release Date : 2010

Enumerating A Diverse Set Of Building Designs Using Discrete Optimization written by Elaine T. Hale and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Buildings categories.


Numerical optimization is a powerful method for identifying energy-efficient building designs. Automating the search process facilitates the evaluation of many more options than is possible with one-off parametric simulation runs. However, input data uncertainties and qualitative aspects of building design work against standard optimization formulations that return a single, so-called optimal design. This paper presents a method for harnessing a discrete optimization algorithm to obtain significantly different, economically viable building designs that satisfy an energy efficiency goal. The method is demonstrated using NREL's first-generation building analysis platform, Opt-E-Plus, and two example problems. We discuss the information content of the results, and the computational effort required by the algorithm.



Optimization And Mathematical Modeling In Computer Architecture


Optimization And Mathematical Modeling In Computer Architecture
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Author : Karu Sankaralingam
language : en
Publisher: Springer Nature
Release Date : 2022-05-31

Optimization And Mathematical Modeling In Computer Architecture written by Karu Sankaralingam and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.


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.



Discrete Structural Optimization


Discrete Structural Optimization
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Author : W. Gutkowski
language : en
Publisher: Springer
Release Date : 2014-05-04

Discrete Structural Optimization written by W. Gutkowski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.


The engineering design of structures and machines consists often in finding the best solution among a finite number of feasible decisions. This volume comprises problems and solution methods for discrete structural optimization. Exact, approximate and heuristic methods are presented applying deterministic and stochastic approaches.