Author: Mung Chiang
Publisher: Now Publishers Inc
ISBN: 9781933019093
Category : Computers
Languages : en
Pages : 172
Book Description
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results in this area, which are currently scattered in several books and many research papers, as well as to date unpublished results.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 Communication Systems
Author: Mung Chiang
Publisher: Now Publishers Inc
ISBN: 9781933019093
Category : Computers
Languages : en
Pages : 172
Book Description
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results in this area, which are currently scattered in several books and many research papers, as well as to date unpublished results.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.
Publisher: Now Publishers Inc
ISBN: 9781933019093
Category : Computers
Languages : en
Pages : 172
Book Description
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.
An Approach to the Generalized Geometric Programming Problem
Author: Doran R. Greening
Publisher:
ISBN:
Category : Geometric programming
Languages : en
Pages : 294
Book Description
Publisher:
ISBN:
Category : Geometric programming
Languages : en
Pages : 294
Book Description
A Computer Program to Solve the Generalized Geometric Programming Problem
Author: Thomas Haines Edwards
Publisher:
ISBN:
Category :
Languages : en
Pages : 222
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 222
Book Description
Generalized Geometric Programming
Author: Simon Lam
Publisher:
ISBN:
Category : Programming (Mathematics)
Languages : en
Pages : 230
Book Description
Publisher:
ISBN:
Category : Programming (Mathematics)
Languages : en
Pages : 230
Book Description
Advances in Geometric Programming
Author: Mordecai Avriel
Publisher: Springer Science & Business Media
ISBN: 1461582857
Category : Mathematics
Languages : en
Pages : 457
Book Description
In 1961, C. Zener, then Director of Science at Westinghouse Corpora tion, and a member of the U. S. National Academy of Sciences who has made important contributions to physics and engineering, published a short article in the Proceedings of the National Academy of Sciences entitled" A Mathe matical Aid in Optimizing Engineering Design. " In this article Zener considered the problem of finding an optimal engineering design that can often be expressed as the problem of minimizing a numerical cost function, termed a "generalized polynomial," consisting of a sum of terms, where each term is a product of a positive constant and the design variables, raised to arbitrary powers. He observed that if the number of terms exceeds the number of variables by one, the optimal values of the design variables can be easily found by solving a set of linear equations. Furthermore, certain invariances of the relative contribution of each term to the total cost can be deduced. The mathematical intricacies in Zener's method soon raised the curiosity of R. J. Duffin, the distinguished mathematician from Carnegie Mellon University who joined forces with Zener in laying the rigorous mathematical foundations of optimizing generalized polynomials. Interes tingly, the investigation of optimality conditions and properties of the optimal solutions in such problems were carried out by Duffin and Zener with the aid of inequalities, rather than the more common approach of the Kuhn-Tucker theory.
Publisher: Springer Science & Business Media
ISBN: 1461582857
Category : Mathematics
Languages : en
Pages : 457
Book Description
In 1961, C. Zener, then Director of Science at Westinghouse Corpora tion, and a member of the U. S. National Academy of Sciences who has made important contributions to physics and engineering, published a short article in the Proceedings of the National Academy of Sciences entitled" A Mathe matical Aid in Optimizing Engineering Design. " In this article Zener considered the problem of finding an optimal engineering design that can often be expressed as the problem of minimizing a numerical cost function, termed a "generalized polynomial," consisting of a sum of terms, where each term is a product of a positive constant and the design variables, raised to arbitrary powers. He observed that if the number of terms exceeds the number of variables by one, the optimal values of the design variables can be easily found by solving a set of linear equations. Furthermore, certain invariances of the relative contribution of each term to the total cost can be deduced. The mathematical intricacies in Zener's method soon raised the curiosity of R. J. Duffin, the distinguished mathematician from Carnegie Mellon University who joined forces with Zener in laying the rigorous mathematical foundations of optimizing generalized polynomials. Interes tingly, the investigation of optimality conditions and properties of the optimal solutions in such problems were carried out by Duffin and Zener with the aid of inequalities, rather than the more common approach of the Kuhn-Tucker theory.
Reversed Generalized Geometric Programming
Author: Joan Betty Wettern Vandrey
Publisher:
ISBN:
Category : Geometric programming
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category : Geometric programming
Languages : en
Pages :
Book Description
Applied Geometric Programming
Author: Charles S. Beightler
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 612
Book Description
Constrained optimization problems: basic concepts; Posynomial geometric programming; Practical aspect of G.P. problem-solving; Signomial geometric programming; Tactics for handling posynomial programs with loose constraints and degreess of difficulty; Extensions of geometric programming to non-standard forms; Reversed constraints and transformations to posynomial programs; Solutions of signomial programs through condensation; The underlying primal structure and its use in computation; Selected applications of geometric programming;
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 612
Book Description
Constrained optimization problems: basic concepts; Posynomial geometric programming; Practical aspect of G.P. problem-solving; Signomial geometric programming; Tactics for handling posynomial programs with loose constraints and degreess of difficulty; Extensions of geometric programming to non-standard forms; Reversed constraints and transformations to posynomial programs; Solutions of signomial programs through condensation; The underlying primal structure and its use in computation; Selected applications of geometric programming;
Reduction and Decomposition of Large Generalized Geometric Programming Problems with Applications
Author: Elmor L. Peterson
Publisher:
ISBN:
Category :
Languages : en
Pages : 9
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 9
Book Description
A Note on the Dual of an Unconstrained (generalized) Geometric Programming Problem
Author: J. B. G. Frenk
Publisher:
ISBN:
Category :
Languages : en
Pages : 7
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 7
Book Description
Application of Generalized Geometric Programming to Optimizing Polynomials
Author: Robert Engel Gibson
Publisher:
ISBN:
Category :
Languages : en
Pages : 116
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 116
Book Description