Computer Algebra in Scientific Computing CASC 2001

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Publisher : Springer Science & Business Media
ISBN 13 : 3642566669
Total Pages : 543 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Computer Algebra in Scientific Computing CASC 2001 by : Viktor G. Ganzha

Download or read book Computer Algebra in Scientific Computing CASC 2001 written by Viktor G. Ganzha and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: CASC 2001 continues a tradition ~ started in 1998 ~ of international con ferences on the latest advances in the application of computer algebra systems to the solution of various problems in scientific computing. The three ear (CASs) lier conferences in this sequence, CASC'98, CASC'99, and CASC 2000, were held, Petersburg, Russia, in Munich, Germany, and in Samarkand, respectively, in St. Uzbekistan, and proved to be very successful. We have to thank the program committee, listed overleaf, for a tremendous job in soliciting and providing reviews for the submitted papers. There were more than three reviews per submission on average. The result of this job is reflected in the present volume, which contains revised versions of the accepted papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. In particular, five papers are devoted to the implementation of the analysis of involutive systems with the aid of CASso The specific examples include new efficient algorithms for the computation of Janet bases for monomial ideals, involutive division, involutive reduction method, etc. A number of papers deal with application of CASs for obtaining and vali dating new exact solutions to initial and boundary value problems for partial differential equations in mathematical physics. Several papers show how CASs can be used to obtain analytic solutions of initial and boundary value problems for ordinary differential equations and for studying their properties.

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

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Publisher : Springer
ISBN 13 : 3540742085
Total Pages : 636 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by : Moses Charikar

Download or read book Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques written by Moses Charikar and published by Springer. This book was released on 2007-08-28 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the refereed proceedings of the 10th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems and the 11th International Workshop on Randomization and Computation. The papers cover design and analysis of approximation algorithms, hardness of approximation, small space and data streaming algorithms, sub-linear time algorithms, embeddings and metric space methods, and much more.

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

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Publisher : Springer Science & Business Media
ISBN 13 : 3642229344
Total Pages : 715 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by : Leslie Ann Goldberg

Download or read book Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques written by Leslie Ann Goldberg and published by Springer Science & Business Media. This book was released on 2011-08-05 with total page 715 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the joint refereed proceedings of the 14th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2011, and the 15th International Workshop on Randomization and Computation, RANDOM 2011, held in Princeton, New Jersey, USA, in August 2011. The volume presents 29 revised full papers of the APPROX 2011 workshop, selected from 66 submissions, and 29 revised full papers of the RANDOM 2011 workshop, selected from 64 submissions. They were carefully reviewed and selected for inclusion in the book. In addition two abstracts of invited talks are included. APPROX focuses on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM is concerned with applications of randomness to computational and combinatorial problems.

Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques

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Publisher : Springer
ISBN 13 : 3540446664
Total Pages : 314 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques by : Michel Goemans

Download or read book Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques written by Michel Goemans and published by Springer. This book was released on 2003-05-15 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the joint refereed proceedings of the 4th International Workshop on Approximation Algorithms for Optimization Problems, APPROX 2001 and of the 5th International Workshop on Ranomization and Approximation Techniques in Computer Science, RANDOM 2001, held in Berkeley, California, USA in August 2001. The 26 revised full papers presented were carefully reviewed and selected from a total of 54 submissions. Among the issues addressed are design and analysis of approximation algorithms, inapproximability results, on-line problems, randomization, de-randomization, average-case analysis, approximation classes, randomized complexity theory, scheduling, routing, coloring, partitioning, packing, covering, computational geometry, network design, and applications in various fields.

Handbook of Approximation Algorithms and Metaheuristics

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Publisher : CRC Press
ISBN 13 : 1420010743
Total Pages : 1434 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Approximation Algorithms and Metaheuristics by : Teofilo F. Gonzalez

Download or read book Handbook of Approximation Algorithms and Metaheuristics written by Teofilo F. Gonzalez and published by CRC Press. This book was released on 2007-05-15 with total page 1434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical applications. It is the first book to comprehensively study both approximation algorithms and metaheuristics. Starting with basic approaches, the handbook presents the methodologies to design and analyze efficient approximation algorithms for a large class of problems, and to establish inapproximability results for another class of problems. It also discusses local search, neural networks, and metaheuristics, as well as multiobjective problems, sensitivity analysis, and stability. After laying this foundation, the book applies the methodologies to classical problems in combinatorial optimization, computational geometry, and graph problems. In addition, it explores large-scale and emerging applications in networks, bioinformatics, VLSI, game theory, and data analysis. Undoubtedly sparking further developments in the field, this handbook provides the essential techniques to apply approximation algorithms and metaheuristics to a wide range of problems in computer science, operations research, computer engineering, and economics. Armed with this information, researchers can design and analyze efficient algorithms to generate near-optimal solutions for a wide range of computational intractable problems.

Algorithms for Random Generation and Counting: A Markov Chain Approach

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Publisher : Springer Science & Business Media
ISBN 13 : 1461203236
Total Pages : 156 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Algorithms for Random Generation and Counting: A Markov Chain Approach by : A. Sinclair

Download or read book Algorithms for Random Generation and Counting: A Markov Chain Approach written by A. Sinclair and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a slightly revised version of my PhD thesis [86], com pleted in the Department of Computer Science at the University of Edin burgh in June 1988, with an additional chapter summarising more recent developments. Some of the material has appeared in the form of papers [50,88]. The underlying theme of the monograph is the study of two classical problems: counting the elements of a finite set of combinatorial structures, and generating them uniformly at random. In their exact form, these prob lems appear to be intractable for many important structures, so interest has focused on finding efficient randomised algorithms that solve them ap proxim~ly, with a small probability of error. For most natural structures the two problems are intimately connected at this level of approximation, so it is natural to study them together. At the heart of the monograph is a single algorithmic paradigm: sim ulate a Markov chain whose states are combinatorial structures and which converges to a known probability distribution over them. This technique has applications not only in combinatorial counting and generation, but also in several other areas such as statistical physics and combinatorial optimi sation. The efficiency of the technique in any application depends crucially on the rate of convergence of the Markov chain.

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

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Publisher : Springer Science & Business Media
ISBN 13 : 3642153682
Total Pages : 794 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by : Maria Serna

Download or read book Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques written by Maria Serna and published by Springer Science & Business Media. This book was released on 2010-08-19 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the joint refereed proceedings of the 13th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2010, and the 14th International Workshop on Randomization and Computation, RANDOM 2010, held in Barcelona, Spain, in September 2010. The 28 revised full papers of the APPROX 2010 workshop and the 29 revised full papers of the RANDOM 2010 workshop included in this volume, were carefully reviewed and selected from 66 and 61 submissions, respectively. APPROX focuses on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM is concerned with applications of randomness to computational and combinatorial problems.

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

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Publisher : Springer
ISBN 13 : 364240328X
Total Pages : 728 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by : Prasad Raghavendra

Download or read book Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques written by Prasad Raghavendra and published by Springer. This book was released on 2013-08-16 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 16th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2013, and the 17th International Workshop on Randomization and Computation, RANDOM 2013, held in August 2013 in the USA. The total of 48 carefully reviewed and selected papers presented in this volume consist of 23 APPROX papers selected out of 46 submissions, and 25 RANDOM papers selected out of 52 submissions. APPROX 2013 focuses on algorithmic and complexity theoretic issues relevant to the development of efficient approximate solutions to computationally difficult problems, while RANDOM 2013 focuses on applications of randomness to computational and combinatorial problems.

Computer Algebra in Scientific Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540423553
Total Pages : 576 pages
Book Rating : 4.4/5 (235 download)

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Book Synopsis Computer Algebra in Scientific Computing by : Victor Grigorʹevich Ganzha

Download or read book Computer Algebra in Scientific Computing written by Victor Grigorʹevich Ganzha and published by Springer Science & Business Media. This book was released on 2001 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jets. A Maple-Package for Formal Differential Geometry.- Computing Stratifications of Quotients of Finite Groups and an Application to Shape Memory Alloy.- A MuPAD Library for Differential Equation.- Algebraic Identification Algorithm and Application to Dynamical Systems.- Cooperation Between a Dynamic Geometry Environment and a Computer Algebra System for Geometric Discovery.- On the Stability of Steady Motions of a Solar-Sail Satellite.- Application of Computer Algebra for Investigation of a Group Properties of the Navier-Stokes Equations for Compressible Viscous Heat-Conducting Gas.- Mathematica and Nilpotent Lie Superalgebras.- Neighborhoods of an Ordinary Linear Differential Equation.- Invariants of Finite Groups and Involutive Division.- Symbolic Computation and Boundary Conditions for the Wave Equation.- Parametric Systems of Linear Congruences.- Bifurcation Analysis of Low Resonant Case of the Generalized Henon - Heiles System.- An Involutive Reduction Method to Find Invariant Solutions for Partial Differential Equations.- Recurrence Functions and Numerical Characteristics of Graphs.- A New Combinatorial Algorithm for Large Markov Chains.- GROOME - Tool Supported Graphical Object Oriented Modelling for Computer Algebra and Scientific Computing.- Construction of Janet Bases I.Monomial Bases.- Construction of Janet Bases II.Polynomial Bases.- Low-Dimensional Quasi-Filiform Lie Algebras with Great Length.- Algebraic Methods for Sectioning Parametric Surfaces.- The Methods of Computer Algebra and the Arnold-Moser Theorem.- Symbolic Algorithms of Algebraic Perturbation Theory: Hydrogen Atom in the Field of Distant Charge.- Perturbation versus Differentiation Indices.- Employment of the Gröbner Bases in Analysis of Systems Having Algebraic First Integrals.- "Coalgebra" Structures on 1-Homological Models for Commutative Differential Graded Algebras.- Conservative Finite Difference Schemes for Cosymmetric Systems.- A Mathematica Solver for Two-Point Singularly-Perturbed Boundary Value Problems.- A New Algorithm for Computing Cohomologies of Lie Superalgebras.- Parallel Computing with Mathematica.- Solution of Systems of Linear Diophantine Equations.- SYMOPT: Symbolic Parametric Mathematical Programming.- Representing Graph Properties by Polynomial Ideals.- Parametric G1-Blending of Several Surfaces.- A Method of Logic Deduction and Verification in KBS Using Positive Integers.- Progressive Long Waves on a Slope (A New Solution to the Euler Equation?).- The Method of Newton Polyhedra for Investigating Singular Positions of Some Mechanisms.- Algebraic Predicates for Empirical Data.- Fractional Driftless Fokker-Planck Equation with Power Law Diffusion Coefficients.- Factorization of Overdetermined Systems of Linear Partial Differential Equations with Finite-Dimensional Solution Space.- Semilinear Motion Planning Among Moving Objects in REDLOG.- Author Index.

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

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Publisher : Springer Science & Business Media
ISBN 13 : 3540380442
Total Pages : 532 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by : Josep Diaz

Download or read book Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques written by Josep Diaz and published by Springer Science & Business Media. This book was released on 2006-08-11 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the joint refereed proceedings of the 9th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2006 and the 10th International Workshop on Randomization and Computation, RANDOM 2006. The book presents 44 carefully reviewed and revised full papers. Among the topics covered are design and analysis of approximation algorithms, hardness of approximation problems, small spaces and data streaming algorithms, embeddings and metric space methods, and more.

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

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Publisher : Springer
ISBN 13 : 3642325122
Total Pages : 687 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques by : Anupam Gupta

Download or read book Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques written by Anupam Gupta and published by Springer. This book was released on 2012-07-20 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the joint refereed proceedings of the 15th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2012, and the 16th International Workshop on Randomization and Computation, RANDOM 2012, held in Cambridge, Massachusetts, USA, in August 2011. The volume contains 28 contributed papers, selected by the APPROX Program Committee out of 70 submissions, and 28 contributed papers, selected by the RANDOM Program Committee out of 67 submissions. APPROX focuses on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM is concerned with applications of randomness to computational and combinatorial problems.

Mathematical Aspects of Mixing Times in Markov Chains

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Publisher : Now Publishers Inc
ISBN 13 : 1933019298
Total Pages : 133 pages
Book Rating : 4.9/5 (33 download)

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Book Synopsis Mathematical Aspects of Mixing Times in Markov Chains by : Ravi R. Montenegro

Download or read book Mathematical Aspects of Mixing Times in Markov Chains written by Ravi R. Montenegro and published by Now Publishers Inc. This book was released on 2006 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Aspects of Mixing Times in Markov Chains is a comprehensive, well-written review of the subject that will be of interest to researchers and students in computer and mathematical sciences.

Markov Chains and Mixing Times

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821886274
Total Pages : 396 pages
Book Rating : 4.8/5 (862 download)

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Book Synopsis Markov Chains and Mixing Times by : David Asher Levin

Download or read book Markov Chains and Mixing Times written by David Asher Levin and published by American Mathematical Soc.. This book was released on with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the modern approach to the theory of Markov chains. The main goal of this approach is to determine the rate of convergence of a Markov chain to the stationary distribution as a function of the size and geometry of the state space. The authors develop the key tools for estimating convergence times, including coupling, strong stationary times, and spectral methods. Whenever possible, probabilistic methods are emphasized. The book includes many examples and provides brief introductions to some central models of statistical mechanics. Also provided are accounts of random walks on networks, including hitting and cover times, and analyses of several methods of shuffling cards. As a prerequisite, the authors assume a modest understanding of probability theory and linear algebra at an undergraduate level. Markov Chains and Mixing Times is meant to bring the excitement of this active area of research to a wide audience.

Finite Markov Chains and Algorithmic Applications

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Publisher : Cambridge University Press
ISBN 13 : 9780521890014
Total Pages : 132 pages
Book Rating : 4.8/5 (9 download)

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Book Synopsis Finite Markov Chains and Algorithmic Applications by : Olle Häggström

Download or read book Finite Markov Chains and Algorithmic Applications written by Olle Häggström and published by Cambridge University Press. This book was released on 2002-05-30 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a lecture course given at Chalmers University of Technology, this 2002 book is ideal for advanced undergraduate or beginning graduate students. The author first develops the necessary background in probability theory and Markov chains before applying it to study a range of randomized algorithms with important applications in optimization and other problems in computing. Amongst the algorithms covered are the Markov chain Monte Carlo method, simulated annealing, and the recent Propp-Wilson algorithm. This book will appeal not only to mathematicians, but also to students of statistics and computer science. The subject matter is introduced in a clear and concise fashion and the numerous exercises included will help students to deepen their understanding.

Combinatorial Optimization and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642174604
Total Pages : 428 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Combinatorial Optimization and Applications by : Weili Wu

Download or read book Combinatorial Optimization and Applications written by Weili Wu and published by Springer Science & Business Media. This book was released on 2010-12-09 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Conference on Combinatorial Optimization and Applications, COCOA 2010, held in Kailua-Kona, HI, USA, in December 2010. The 49 revised full papers were carefully reviewed and selected from 108 submissions.

Algorithms for Random Generation and Counting: A Markov Chain Approach

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Publisher : Springer Science & Business Media
ISBN 13 : 0817636587
Total Pages : 161 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Algorithms for Random Generation and Counting: A Markov Chain Approach by : A. Sinclair

Download or read book Algorithms for Random Generation and Counting: A Markov Chain Approach written by A. Sinclair and published by Springer Science & Business Media. This book was released on 1993-02 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a slightly revised version of my PhD thesis [86], com pleted in the Department of Computer Science at the University of Edin burgh in June 1988, with an additional chapter summarising more recent developments. Some of the material has appeared in the form of papers [50,88]. The underlying theme of the monograph is the study of two classical problems: counting the elements of a finite set of combinatorial structures, and generating them uniformly at random. In their exact form, these prob lems appear to be intractable for many important structures, so interest has focused on finding efficient randomised algorithms that solve them ap proxim~ly, with a small probability of error. For most natural structures the two problems are intimately connected at this level of approximation, so it is natural to study them together. At the heart of the monograph is a single algorithmic paradigm: sim ulate a Markov chain whose states are combinatorial structures and which converges to a known probability distribution over them. This technique has applications not only in combinatorial counting and generation, but also in several other areas such as statistical physics and combinatorial optimi sation. The efficiency of the technique in any application depends crucially on the rate of convergence of the Markov chain.

Handbook of Performability Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 1848001312
Total Pages : 1331 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Handbook of Performability Engineering by : Krishna B. Misra

Download or read book Handbook of Performability Engineering written by Krishna B. Misra and published by Springer Science & Business Media. This book was released on 2008-08-24 with total page 1331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dependability and cost effectiveness are primarily seen as instruments for conducting international trade in the free market environment. These factors cannot be considered in isolation of each other. This handbook considers all aspects of performability engineering. The book provides a holistic view of the entire life cycle of activities of the product, along with the associated cost of environmental preservation at each stage, while maximizing the performance.