Geometric Programming

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Handbook of Geometric Programming Using Open Geometry GL

Author: Georg Glaeser
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-05-28
Overview At the beginning of 1999, Springer-Verlag published the book Open Geo- try OpenGL +Advanced Geometry. There, the authors Georg Glaeser and Hellmuth Stachel presented a comprehensive library of geometric me- odsbasedonOpenGLroutines.AnaccompanyingCD-ROMprovidedthesource code and many sample ?les. Many diverse topics are covered in this book. The theoretical background is carefully explained, and many examples are given. Since the publication of Open Geometry, the source code has been improved andmanyadditionalfeatureshavebeenaddedtotheprogram.Contributorsfrom allovertheworldhavecomeupupwithnewideas,questions,andproblems.This process has continued up to the present and Open Geometry is growing from daytoday. In order to make all of these improvements accessible to the public, and also in order to give deeper insight into Open Geometry, we decided to write this new Handbook on Open Geometry GL 2.0. It will ?ll certain gaps ofOpen Geometry 1.0 and explain new methods, techniques, and examples. On the accompanying CD-ROM the new source code and the sample ?les are included. The Handbook now contains 101 well-documented examples and the reader is able to learn about Open Geometry by working through them. In addition, we present a compendium of all important Open Geometry classes and their methods. vi Preface However, we did not intend to write a new tutorial for Open Geometry. The Handbook is rather a sequel, written for the readers of the ?rst book and for advancedprogrammers.Furthermore,itisasourceofcreativeandgoodexamples from diverse ?elds of geometry, computer graphics, and many other related ?elds like physics, mathematics, astronomy, biology, and geography.
Geometric Programming for Communication Systems

Recently Geometric Programming has been applied to study a variety of problems in the analysis and design of communication systems from information theory and queuing theory to signal processing and network protocols. Geometric Programming for Communication Systems begins its comprehensive treatment of the subject by providing an in-depth tutorial on the theory, algorithms, and modeling methods of Geometric Programming. It then gives a systematic survey of the applications of Geometric Programming to the study of communication systems. It collects in one place various published results in this area, which are currently scattered in several books and many research papers, as well as to date unpublished results. Geometric Programming for Communication Systems is intended for researchers and students who wish to have a comprehensive starting point for understanding the theory and applications of geometric programming in communication systems.
Geometric Programming for Design Equation Development and Cost/Profit Optimization

Author: Robert C. Creese
language: en
Publisher: Morgan & Claypool Publishers
Release Date: 2016-12-27
Geometric Programming is used for cost minimization, profit maximization, obtaining cost ratios, and the development of generalized design equations for the primal variables. The early pioneers of geometric programming—Zener, Duffin, Peterson, Beightler, Wilde, and Phillips—played important roles in its development. Five new case studies have been added to the third edition. There are five major sections: (1) Introduction, History and Theoretical Fundamentals; (2) Cost Minimization Applications with Zero Degrees of Difficulty; (3) Profit Maximization Applications with Zero Degrees of Difficulty; (4) Applications with Positive Degrees of Difficulty; and (5) Summary, Future Directions, and Geometric Programming Theses & Dissertations Titles. The various solution techniques presented are the constrained derivative approach, condensation of terms approach, dimensional analysis approach, and transformed dual approach. A primary goal of this work is to have readers develop more case studies and new solution techniques to further the application of geometric programming.