Separable Programming

Separable Programming PDF

Author: S.M. Stefanov

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 323

ISBN-13: 1475734174

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In this book, the author considers separable programming and, in particular, one of its important cases - convex separable programming. Some general results are presented, techniques of approximating the separable problem by linear programming and dynamic programming are considered. Convex separable programs subject to inequality/ equality constraint(s) and bounds on variables are also studied and iterative algorithms of polynomial complexity are proposed. As an application, these algorithms are used in the implementation of stochastic quasigradient methods to some separable stochastic programs. Numerical approximation with respect to I1 and I4 norms, as a convex separable nonsmooth unconstrained minimization problem, is considered as well. Audience: Advanced undergraduate and graduate students, mathematical programming/ operations research specialists.

Separable Optimization

Separable Optimization PDF

Author: Stefan M. Stefanov

Publisher: Springer Nature

Published: 2022-01-01

Total Pages: 360

ISBN-13: 3030784010

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In this book, the theory, methods and applications of separable optimization are considered. Some general results are presented, techniques of approximating the separable problem by linear programming problem, and dynamic programming are also studied. Convex separable programs subject to inequality/ equality constraint(s) and bounds on variables are also studied and convergent iterative algorithms of polynomial complexity are proposed. As an application, these algorithms are used in the implementation of stochastic quasigradient methods to some separable stochastic programs. The problems of numerical approximation of tabulated functions and numerical solution of overdetermined systems of linear algebraic equations and some systems of nonlinear equations are solved by separable convex unconstrained minimization problems. Some properties of the Knapsack polytope are also studied. This second edition includes a substantial amount of new and revised content. Three new chapters, 15-17, are included. Chapters 15-16 are devoted to the further analysis of the Knapsack problem. Chapter 17 is focused on the analysis of a nonlinear transportation problem. Three new Appendices (E-G) are also added to this edition and present technical details that help round out the coverage. Optimization problems and methods for solving the problems considered are interesting not only from the viewpoint of optimization theory, optimization methods and their applications, but also from the viewpoint of other fields of science, especially the artificial intelligence and machine learning fields within computer science. This book is intended for the researcher, practitioner, or engineer who is interested in the detailed treatment of separable programming and wants to take advantage of the latest theoretical and algorithmic results. It may also be used as a textbook for a special topics course or as a supplementary textbook for graduate courses on nonlinear and convex optimization.

Model Building in Mathematical Programming

Model Building in Mathematical Programming PDF

Author: H. Paul Williams

Publisher: John Wiley & Sons

Published: 2013-01-18

Total Pages: 432

ISBN-13: 1118506189

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The 5th edition of Model Building in Mathematical Programmingdiscusses the general principles of model building in mathematicalprogramming and demonstrates how they can be applied by usingseveral simplified but practical problems from widely differentcontexts. Suggested formulations and solutions are given togetherwith some computational experience to give the reader a feel forthe computational difficulty of solving that particular type ofmodel. Furthermore, this book illustrates the scope and limitationsof mathematical programming, and shows how it can be applied toreal situations. By emphasizing the importance of the building andinterpreting of models rather than the solution process, the authorattempts to fill a gap left by the many works which concentrate onthe algorithmic side of the subject. In this article, H.P. Williams explains his originalmotivation and objectives in writing the book, how it has beenmodified and updated over the years, what is new in this editionand why it has maintained its relevance and popularity over theyears: ahref="http://www.statisticsviews.com/details/feature/4566481/Model-Building-in-Mathematical-Programming-published-in-fifth-edition.html"http://www.statisticsviews.com/details/feature/4566481/Model-Building-in-Mathematical-Programming-published-in-fifth-edition.html/a

Optimization

Optimization PDF

Author: Kyrie Mueller

Publisher: Scientific e-Resources

Published: 2019-10-05

Total Pages:

ISBN-13: 1839473274

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Finite-dimensional optimization issues happen all through the numerical sciences. The greater part of these issues can't be explained systematically. This prologue to optimization endeavors to strike a harmony between introduction of scientific hypothesis and improvement of numerical calculations. Expanding on understudies' abilities in math and straight variable based math, the content gives a thorough piece without undue deliberation. Its weight on factual applications will be particularly speaking to graduate understudies of insights and biostatistics. The target group additionally incorporates understudies in connected arithmetic, computational science, software engineering, financial aspects, and material science who need to see thorough math joined with genuine applications. Applications are characterized by their principle useful regions in modern arranging, outline, and control. The fields secured are machine sequencing, stock control and planning, plant recharging, conveyance, money related issues, and compound process control and outline. These last two, specifically, are subjects frequently ignored in operations examine educational program. In each field the place and status of optimization methods is first portrayed and afterward an extensive variety of sensible contextual analyses and cases are looked into, a considerable lot of them universal.

Planning and Design of Engineering Systems, Second Edition, Second Edition

Planning and Design of Engineering Systems, Second Edition, Second Edition PDF

Author: Graeme Dandy

Publisher: CRC Press

Published: 2007-09-12

Total Pages: 414

ISBN-13: 0203960807

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Providing students with a commonsense approach to the solution of engineering problems and packed full of practical case studies to illustrate the role of the engineer, the type of work involved and the methodologies employed in engineering practice, this textbook is a comprehensive introduction to the scope and nature of engineering. It outlines a conceptual framework for undertaking engineering projects then provides a range of techniques and tools for solving the sorts of problems that commonly arise. Focusing in particular on civil engineering design, problem solving, and the range of techniques and tools it employs, the authors also explore: creativity and problem solving, social and environmental issues, management, communications and law, and ethics the planning, design, modelling and analysis phases and the implementation or construction phase. Designed specifically for introductory courses on undergraduate engineering programs, this extensively revised and extended second edition is an invaluable resource for all new engineering undergraduates as well as non-specialist readers who are seeking information on the nature of engineering work and how it is carried out.

OPERATIONS RESEARCH

OPERATIONS RESEARCH PDF

Author: K. RAJAGOPAL

Publisher: PHI Learning Pvt. Ltd.

Published: 2012-07-07

Total Pages: 609

ISBN-13: 8120346343

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This comprehensive book provides the students with the basic knowledge of the processes involved in operations research and discusses the techniques of solutions to problems and their applications in daily life. Beginning with an overview of the operations research models and decision-making, the book describes in detail the various optimization techniques such as linear and non-linear programming, integer linear programming, dynamic programming, genetic programming, and network techniques such as PERT (program evaluation review technique) and CPM (critical path method). It also explains the transportation and assignment problems, queuing theory, games theory, sequencing, replacement and capital investment decisions and inventory. Besides, the book discusses the Monte Carlo simulation techniques for solving queuing, demand forecasting, inventory and scheduling problems and elaborates on genetic algorithms. Each mathematical technique is dealt with in two parts. The first part explains the theory underlying the methodology of solution to problems. The second part illustrates how the theory is applied to solve different kinds of problems. This book is designed as a textbook for the undergraduate students of mechanical engineering, electrical engineering, production and industrial engineering, computer science and engineering and information technology. Besides, the book will also be useful to the postgraduate students of production and industrial engineering, computer applications, business administration, commerce, mathematics and statistics. KEY FEATURES : Includes a large number of solved problems to help students comprehend the concepts with ease. Gives step-by-step explanation of algorithms by taking problems. Provides chapter-end exercises to drill the students in self-study.

Statistics

Statistics PDF

Author: Ashley Wells

Publisher: Scientific e-Resources

Published: 2019-01-28

Total Pages: 328

ISBN-13: 1839473347

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Fundamental Statistics gives an open and thorough prologue to statistics utilizing the free, best in class, capable programming program R. This book is intended to both acquaint understudies with enter ideas in statistics and to give basic guidelines to utilizing R. PC programming is a fundamental device for some factual displaying and information investigation systems, helping in the usage of huge informational indexes so as to acquire valuable outcomes. R is a standout amongst the most capable and adaptable measurable programming bundles accessible, and empowers the client to apply a wide assortment of factual methods running from straightforward regression to summed up direct demonstrating. Statistics: An Introduction utilizing R is an unmistakable and compact initial course reading to measurable investigation utilizing this effective and free programming. Spreads the full scope of factual strategies prone to be have to dissect the information from investigate ventures, including basic material like t-tests and chi-squared tests, middle of the road methods like regression and examination of fluctuation, and further developed systems like summed up direct displaying.

Numerical Methods for Energy Applications

Numerical Methods for Energy Applications PDF

Author: Naser Mahdavi Tabatabaei

Publisher: Springer Nature

Published: 2021-03-22

Total Pages: 1033

ISBN-13: 303062191X

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This book provides a thorough guide to the use of numerical methods in energy systems and applications. It presents methods for analysing engineering applications for energy systems, discussing finite difference, finite element, and other advanced numerical methods. Solutions to technical problems relating the application of these methods to energy systems are also thoroughly explored. Readers will discover diverse perspectives of the contributing authors and extensive discussions of issues including: • a wide variety of numerical methods concepts and related energy systems applications;• systems equations and optimization, partial differential equations, and finite difference method;• methods for solving nonlinear equations, special methods, and their mathematical implementation in multi-energy sources;• numerical investigations of electrochemical fields and devices; and• issues related to numerical approaches and optimal integration of energy consumption. This is a highly informative and carefully presented book, providing scientific and academic insight for readers with an interest in numerical methods and energy systems.

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