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A Mathematical Theory Of Design Foundations Algorithms And Applications


A Mathematical Theory Of Design Foundations Algorithms And Applications
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A Mathematical Theory Of Design Foundations Algorithms And Applications


A Mathematical Theory Of Design Foundations Algorithms And Applications
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Author : D. Braha
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

A Mathematical Theory Of Design Foundations Algorithms And Applications written by D. Braha 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 2013-04-17 with Technology & Engineering categories.


Formal Design Theory (PDT) is a mathematical theory of design. The main goal of PDT is to develop a domain independent core model of the design process. The book focuses the reader's attention on the process by which ideas originate and are developed into workable products. In developing PDT, we have been striving toward what has been expressed by the distinguished scholar Simon (1969): that "the science of design is possible and some day we will be able to talk in terms of well-established theories and practices. " The book is divided into five interrelated parts. The conceptual approach is presented first (Part I); followed by the theoretical foundations of PDT (Part II), and from which the algorithmic and pragmatic implications are deduced (Part III). Finally, detailed case-studies illustrate the theory and the methods of the design process (Part IV), and additional practical considerations are evaluated (Part V). The generic nature of the concepts, theory and methods are validated by examples from a variety of disciplines. FDT explores issues such as: algebraic representation of design artifacts, idealized design process cycle, and computational analysis and measurement of design process complexity and quality. FDT's axioms convey the assumptions of the theory about the nature of artifacts, and potential modifications of the artifacts in achieving desired goals or functionality. By being able to state these axioms explicitly, it is possible to derive theorems and corollaries, as well as to develop specific analytical and constructive methodologies.



Complementarity Applications Algorithms And Extensions


Complementarity Applications Algorithms And Extensions
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Author : Michael C. Ferris
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Complementarity Applications Algorithms And Extensions written by Michael C. Ferris 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 2013-03-09 with Computers categories.


This volume presents state-of-the-art complementarity applications, algorithms, extensions and theory in the form of eighteen papers. These at the International Conference on Com invited papers were presented plementarity 99 (ICCP99) held in Madison, Wisconsin during June 9-12, 1999 with support from the National Science Foundation under Grant DMS-9970102. Complementarity is becoming more widely used in a variety of appli cation areas. In this volume, there are papers studying the impact of complementarity in such diverse fields as deregulation of electricity mar kets, engineering mechanics, optimal control and asset pricing. Further more, application of complementarity and optimization ideas to related problems in the burgeoning fields of machine learning and data mining are also covered in a series of three articles. In order to effectively process the complementarity problems that arise in such applications, various algorithmic, theoretical and computational extensions are covered in this volume. Nonsmooth analysis has an im portant role to play in this area as can be seen from articles using these tools to develop Newton and path following methods for constrained nonlinear systems and complementarity problems. Convergence issues are covered in the context of active set methods, global algorithms for pseudomonotone variational inequalities, successive convex relaxation and proximal point algorithms. Theoretical contributions to the connectedness of solution sets and constraint qualifications in the growing area of mathematical programs with equilibrium constraints are also presented. A relaxation approach is given for solving such problems. Finally, computational issues related to preprocessing mixed complementarity problems are addressed.



Scheduling Control Based Theory And Polynomial Time Algorithms


Scheduling Control Based Theory And Polynomial Time Algorithms
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Author : K. Kogan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27

Scheduling Control Based Theory And Polynomial Time Algorithms written by K. Kogan 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 2013-11-27 with Business & Economics categories.


This book presents a first attempt to systematically collect, classify and solve various continuous-time scheduling problems. The classes of problems distinguish scheduling by the number of machines and products, production constraints and performance measures. Although such classes are usually considered to be a prerogative of only combinatorial scheduling literature, the scheduling methodology suggested in this book is based on two mathematical tools - optimal control and combinatorics. Generally considered as belonging to two totally different areas of research and application, these seemingly irreconcilable tools can be integrated in a unique solution approach with the advantages of both. This new approach provides the possibility of developing effective polynomial-time algorithms to solve the generic scheduling problems. This book is aimed at a student audience - final year undergraduates as well as master and Ph.D. students, primarily in Operations Research, Management, Industrial Engineering and Control Systems. Indeed, some of the material in the book has formed part of the content of undergraduate and graduate courses taught at the Industrial Engineering Department of Tel-Aviv University, the Logistics Department of Bar-Ilan University and the Technology Management Department of Rolon Center for Technological Education, Israel. The book is also useful for practicing engineers interested in planning, scheduling and optimization methods. Since the book addresses the theory and design of computer-based scheduling algorithms, applied mathematicians and computer software specialists engaged in developing scheduling software for industrial engineering and management problems will find that the methods developed here can be embedded very efficiently in large applications.



Reviewing Design Process Theories


Reviewing Design Process Theories
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Author : Mahmud Rezaei
language : en
Publisher: Springer Nature
Release Date : 2020-11-20

Reviewing Design Process Theories written by Mahmud Rezaei and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-20 with Political Science categories.


This interdisciplinary book explores design theories, combining research from a range of fields including architecture, landscape architecture, urban planning, urban design, industrial design, software engineering, environmental psychology, geography, anthropology, and sociology. Following an extensive review of the current literature, the author reveals eight major types of theory in design processes. The theories are classified as follows: Rational vs. Empiricist Theories, Procedural vs. Substantive Theories, Normative vs. Positive Theories, Design Scopes, Designers vs. People, Form and Space Creation Paradigms, Efficient Tools and Sources in the Design Process, and Place vs. Non-Place Theories. The respective design theories are illustrated with diagrams, tables and figures, condensing the content of over 140 essential theoretical texts that address various aspects of design processes. Given its scope, the book will appeal to undergraduate and graduate students, and to researchers and practitioners in design, urban planning, urban design, architecture, art, etc.



Trends In Industrial And Applied Mathematics


Trends In Industrial And Applied Mathematics
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Author : Abul Hasan Siddiqi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Trends In Industrial And Applied Mathematics written by Abul Hasan Siddiqi 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 2013-12-01 with Mathematics categories.


An important objective of the study of mathematics is to analyze and visualize phenomena of nature and real world problems for its proper understanding. Gradually, it is also becoming the language of modem financial instruments. To project some of these developments, the conference was planned under the joint auspices of the Indian Society of Industrial and Applied mathematics (ISlAM) and Guru Nanak Dev University (G. N. D. U. ), Amritsar, India. Dr. Pammy Manchanda, chairperson of Mathematics Department, G. N. D. U. , was appointed the organizing secretary and an organizing committee was constituted. The Conference was scheduled in World Mathematics Year 2000 but, due one reason or the other, it could be held during 22. -25. January 2001. How ever, keeping in view the suggestion of the International Mathematics union, we organized two symposia, Role of Mathematics in industrial development and vice-versa and How image of Mathematics can be improved in public. These two symposia aroused great interest among the participants and almost everyone participated in the deliberations. The discussion in these two themes could be summarized in the lengthy following lines: "Tradition of working in isolation is a barrier for interaction with the workers in the other fields of science and engineering, what to talk of non-academic areas, specially the private sector of finance and industry. Therefore, it is essential to build bridges within in stitutions and between institutions.



Mathematical Modeling In Economics Ecology And The Environment


Mathematical Modeling In Economics Ecology And The Environment
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Author : N.V. Hritonenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Mathematical Modeling In Economics Ecology And The Environment written by N.V. Hritonenko 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 2013-04-17 with Mathematics categories.


The problems of interrelation between human economics and natural environment include scientific, technical, economic, demographic, social, political and other aspects that are studied by scientists of many specialities. One of the important aspects in scientific study of environmental and ecological problems is the development of mathematical and computer tools for rational management of economics and environment. This book introduces a wide range of mathematical models in economics, ecology and environmental sciences to a general mathematical audience with no in-depth experience in this specific area. Areas covered are: controlled economic growth and technological development, world dynamics, environmental impact, resource extraction, air and water pollution propagation, ecological population dynamics and exploitation. A variety of known models are considered, from classical ones (Cobb Douglass production function, Leontief input-output analysis, Solow models of economic dynamics, Verhulst-Pearl and Lotka-Volterra models of population dynamics, and others) to the models of world dynamics and the models of water contamination propagation used after Chemobyl nuclear catastrophe. Special attention is given to modelling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Xlll XIV Construction of Mathematical Models ...



Industrial Applications Of Combinatorial Optimization


Industrial Applications Of Combinatorial Optimization
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Author : Gang Yu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Industrial Applications Of Combinatorial Optimization written by Gang Yu 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 2013-03-14 with Business & Economics categories.


Industries rely more and more on advanced technology. Accelerated computer evolution makes large-scale computation practical. Many enterprises are be ginning to benefit from more efficient allocation of resources and more effective planning, scheduling, manufacturing, and distribution by adopting state-of-the art decision support systems. Academics increasingly emphasize application driven research. All these forces have moved optimization from a pure class room and textbook terminology to an accepted tool in today's business world. This book chronicles and describes applications of combinatorial optimization in industry. A wide range of applications is included: manpower planning • production planning • job sequencing and scheduling • manufacturing layout design • facility planning • vehicle scheduling and routing • retail seasonal planning • I! space shuttle scheduling, and telecommunication network design . • The applications covered in this book comprise a representative set of industry sectors including electronics, airlines, manufacturing, tobacco, retail, telecom munication, defense, and livestock. These examples should encourage opera tions researchers and applied mathematicians by pointing out how the impor tance and practicality of optimization is starting to be realized by the manage ment of various organizations and how some pioneering developments in this field are beginning to bear fruit.



Decision Making Recent Developments And Worldwide Applications


Decision Making Recent Developments And Worldwide Applications
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Author : Stelios H. Zanakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Decision Making Recent Developments And Worldwide Applications written by Stelios H. Zanakis 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 2013-04-17 with Business & Economics categories.


This chapter describes a study conducted at the Swinburne University of Technology in Australia, in their School of Business. The study was to explore the applicability of a judgment-analytic decision support system to the assessment of the likelihood of an applicant being selected for admission to the School's Graduate Certificate in Business Administration (GCBA) program. The likelihood of a program administrator selecting a particular applicant is directly linked to the assessment of the likelihood of that applicant's success in the GCBA program. The purpose of this study, in effect, was to analyze the administrative judgment process in assessment of an applicant's likelihood of success in the program. THE PROCESS OF HUMAN JUDGMENT Human judgment is a process through which an individual uses social infonnation to make decisions. The social infonnation is obtained from an individual's environment and is interpreted through the individual's cognitive image of the environment. The. cognitive image provides a representation of the environment based on past experiences and training, and essentially predisposes the person to respond to social infonnation in predictable ways. An individual's policies or beliefs about the environment represent these patterns. Human judgments are based then upon one's interpretation of available infonnation. They are probability statements about one's environment and how one reacts to it. This condition leads to the human judgment process being inherently limited. It is fundamentally a covert process. It is seldom possible for an individual to accurately describe his or her judgment process accurately.



Internationalization Technological Change And The Theory Of The Firm


Internationalization Technological Change And The Theory Of The Firm
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Author : Nicola De Liso
language : en
Publisher: Routledge
Release Date : 2010-09-13

Internationalization Technological Change And The Theory Of The Firm written by Nicola De Liso and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-13 with Business & Economics categories.


This book focuses on three main areas, each of which is central to economic theorising: firms’ organisation and behaviour, technological change and the process of globalisation. What this collection provides is a broad view of the three topics by concentrating on different aspects of each of them, and utilising different methods of investigation.



Hierarchical Optimization And Mathematical Physics


Hierarchical Optimization And Mathematical Physics
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Author : Vladimir Tsurkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21

Hierarchical Optimization And Mathematical Physics written by Vladimir Tsurkov 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 2013-11-21 with Science categories.


This book should be considered as an introduction to a special dass of hierarchical systems of optimal control, where subsystems are described by partial differential equations of various types. Optimization is carried out by means of a two-level scheme, where the center optimizes coordination for the upper level and subsystems find the optimal solutions for independent local problems. The main algorithm is a method of iterative aggregation. The coordinator solves the problern with macrovariables, whose number is less than the number of initial variables. This problern is often very simple. On the lower level, we have the usual optimal control problems of math ematical physics, which are far simpler than the initial statements. Thus, the decomposition (or reduction to problems ofless dimensions) is obtained. The algorithm constructs a sequence of so-called disaggregated solutions that are feasible for the main problern and converge to its optimal solutionunder certain assumptions ( e.g., under strict convexity of the input functions). Thus, we bridge the gap between two disciplines: optimization theory of large-scale systems and mathematical physics. The first motivation was a special model of branch planning, where the final product obeys a preset assortment relation. The ratio coefficient is maximized. Constraints are given in the form of linear inequalities with block diagonal structure of the part of a matrix that corresponds to subsystems. The central coordinator assem bles the final production from the components produced by the subsystems.