Fractional programming theory, methods, and applications by I. M. Stancu-Minasian

Cover of: Fractional programming | I. M. Stancu-Minasian

Published by Kluwer Academic Publishers in Dordrecht, Boston .

Written in English

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Subjects:

  • Programming (Mathematics)

Edition Notes

Includes bibliographical references (p. 365-404) and indexes.

Book details

Statementby I.M. Stancu-Minasian.
SeriesMathematics and its applications ;, v. 409, Mathematics and its applications (Kluwer Academic Publishers) ;, v. 409.
Classifications
LC ClassificationsT57.7 .S69 1997
The Physical Object
Paginationviii, 418 p. :
Number of Pages418
ID Numbers
Open LibraryOL670347M
ISBN 100792345800
LC Control Number97016263

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Fractional Programming (Sigma Series in Applied Mathematics) by Craven, B. and a great selection of related books, art and collectibles available now at 3rdrailphotography.com Mathematical programming has know a spectacular diversification in the last few decades.

This process has happened both at the level of mathematical research and at the level of the applications generated by the solution methods that were created. To write a monograph dedicated to a certain domain. Fractional Programming: Theory, Methods and Applications - Ebook written by I.M.

Stancu-Minasian. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read. Lecture 8 Linear-fractional optimization • linear-fractional program • generalized linear-fractional program Generalized linear-fractional programming minimize max i=1,m cT i x+di fT i x+gi linear-fractional optimization problem in the variables p Linear-fractional optimization 8– In mathematical optimization, fractional programming is a generalization of linear-fractional 3rdrailphotography.com objective function in a fractional program is a ratio of two functions that are in general nonlinear.

The ratio to be optimized often describes some kind of efficiency of a system. In addition to an extensive treatment of single-ratio fractional programming, three types of multi-ratio fractional programs are discussed: maximization of the smallest of several ratios.

This is a book on Linear-Fractional Programming (here and in what follows we will refer to it as "LFP"). The field of LFP, largely developed by Hungarian mathematician B. Martos and his associates in the 's, is concerned with problems of op­ timization.

Fractional programming book problems deal with determining the. Mixed-integer fractional programming (MIFP) refers to a class of nonconvex mixed-integer nonlinear programs (MINLPs), of which the objective is the ratio of two functions (see Figure 1).MIFP finds applications in a variety of fields that include, but are certainly not limited to, biopharmaceutical manufacturing (Liu et al., ), capital investment (Bradley & Arntzen, ), hybrid energy.

Mathematical programming has know a spectacular diversification in the last few decades. This process has happened both at the level of mathematical research and at the level of the applications generated by the solution methods that were created.

To write a monograph dedicated to a certain domain of mathematical programming is, under such circumstances,especially difficult. Get this from a library.

Fractional programming. [B D Craven] Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study.

Mathematical programming has know a spectacular diversification in the last few decades. This process has happened both at the level of mathematical research and at the level of the applications generated by the solution methods that were created. These results generalize a variety of known results in continuous programming and give a dynamic analogue of (static) Fractional programming book and selfduality results of nonlinear fractional programming recently.

Buy Fractional Programming: Theory, Methods and Applications (Mathematics and Its Applications) on 3rdrailphotography.com FREE SHIPPING on qualified ordersCited by: Nov 26,  · Fractional Programming: Theory, Methods and Applications 1st Edition Read & Download - By I M Fractional programming book Fractional Programming: Theory, Methods and Applications Mathematical programming has know a spectacular diversification in the last few decades.

This pro - Read Online Books at 3rdrailphotography.com In mathematical optimization, linear-fractional programming (LFP) is a generalization of linear programming (LP).

Whereas the objective function in a linear program is a linear function, the objective function in a linear-fractional program is a ratio of two linear functions.A linear program can be regarded as a special case of a linear-fractional program in which the denominator is the.

Robust fractional programming Bram L. Gorissen Tilburg University, Department of Econometrics and Operations Research LE Tilburg, Netherlands [email protected] Abstract We extend Robust Optimization to fractional programming, where both the objec-tive and the constraints contain uncertain parameters.

Earlier work did not. The survey is subjective in nature. It tries to critically evaluate developments in fractional programming after more than 20 years of research with over articles. The authors hope that this somewhat critical report will serve as a guide for meaningful future work in this growing area of nonlinear programming.

This is a book on Linear-Fractional Programming (here and in what follows we will refer to it as "LFP"). The field of LFP, largely developed by Hungarian mathematician B. Martos and his associates in the 's, is concerned with problems of op timization. LFP problems deal with determining the best possible allo cation of available resources to meet certain specifications.

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The design of algorithms for problem-solving lies at the heart of computer science. Concise yet authoritativeCited by: Fractional Programming by Natnael Nigussie 3 Where SˆRmand WˆRnare non empty closed set and g: Rm+n![1 ;1] is a nite-valued function on S W.

In case h: Rm+n![1 ;1] is a nite- valued positive function on S W. Sum-of-Ratio Fractional Programming This kind of problem is given by. Fractional programs arise in management science. economics and numerical mathematics for example. In order to promote the circulation and development of research in this field.

an international workshop on "Generalized Concavity. Fractional Programming and Economic Applications" was held at the University of Pisa. Italy. May 30 - June 1. 3rdrailphotography.com: Fractional Programming: Theory, Methods and Applications (Mathematics and Its Applications) () by Stancu-Minasian, I.M.

and a great selection of similar New, Used and Collectible Books available now at great 3rdrailphotography.com Range: $ - $ Get this from a library. Fractional Programming: Theory, Methods and Applications. [I M Stancu-Minasian] -- This volume aims to present the state-of-the-art in the theory and practice of fractional programming in an orderly form.

Possible fields of application for fractional programming methods are. “The author in his six chapters of this book presents a very well thought of study of, in particular smooth and unified generalized programming problems. See for example Problem (P).

Numerous study cases are presented involving convexity and non-convexity, specializations of which reduce to earlier results by the author or others. This paper, which is presented in two parts, is a contribution to the theory of fractional programming, i.e., maximization of quotients subject to constraints.

In Part I a duality theory for linear Cited by: This is a book on Linear-Fractional Programming (here and in what follows we will refer to it as "LFP").

The field of LFP, largely developed by Hungarian mathematician B. Martos and his associates in the 's, is concerned with problems of op timization. The first chapter explains definition of fractional calculus. The second and third chapters, look at the Riemann-Liouville definitions of the fractional integral and derivative.

The fourth chapter looks at some fractional differential equations with an emphasis on the Laplace transform of. A Study of Fully Fuzzy Linear Fractional Programming Problems by Signed Distance Ranking Technique: /ch The aim of this chapter is to study fully fuzzy linear fractional programming (FFLFP) problems where all coefficients of the decision variables and parametersCited by: 1.

On Integer Fractional Programming 55 Though (6) is the nonlinearly coupled system, its optimal solution can be obtained by the iterative solution of p independent linear sub· problems (7).

Sinc.e the efficiency of integer programming algorithms generally decreases nonlinearly with the increase of the number of. What is Fractional Programming. Definition of Fractional Programming: A special field of study in the area of mathematical programming where certain objective(s) appear in the form of ratios for optimizing them in the decision environment.

Jan 22,  · In mathematical optimization, linear-fractional programming (LFP) is a generalization of linear programming (LP).Whereas the objective function in a linear program is a linear function, the. Book: Biology. Topics: Essay. However for a individual nonsubjective additive fractional programming the Charnes and Cooper [ 4 ] transmutation can be used to transform the job into a additive scheduling 3rdrailphotography.com other attacks have been reported for work outing the (MOLFP) jobs.

Kormbluth and Steuer [ 18 ] considered this job and. The linear fractional programming (LFP) is a special class of fractional programming which can be transformed into a linear programming problem by the method of Charnes and Cooper[2]. The same problem can also be solved by adopting the updated objective function method which was discussed by Bitran and Novaes[1].

Maximization of cost/time give rise to a Fractional Programming. Linear Fractional Programming Problems is studied by many authors charnes et al.() reformulate Linear Fractional Programming Problem into a Linear Programming Problem. Bialas and Karwan (, ) studied and developed Bi-Level Programming Problem.

Neural Networks for Nonlinear Fractional Programming S.K Bisoi, G. Devi, Arabinda Rath Abstract - This paper presents a neural network for solving non-linear minimax multiobjective fractional programming problem subject to nonlinear inequality constraints.

Neural model is designed for optimization with constraints condition. Jun 26,  · About this book. This is a book on the functional paradigm in general.

We'll use the world's most popular functional programming language: JavaScript. Some may feel this is a poor choice as it's against the grain of the current culture which, at the moment, feels predominately imperative. Cited by: Ching-Feng Wen & Hsien-Chung Wu, "Using the Dinkelbach-type algorithm to solve the continuous-time linear fractional programming problems," Journal of Global Optimization, Springer, vol.

49(2), pages3rdrailphotography.comi, M. E-A & Moulai, M., "An exact method for a discrete multiobjective linear fractional optimization," MPRA PaperUniversity Library of Munich. The Book of Shaders.

by Patricio Gonzalez Vivo and Jen Lowe. This is a gentle step-by-step guide through the abstract and complex universe of Fragment Shaders. The generalized fractional programming problems have a wide range of real-world problems, which can be transformed in some sort of a generalized fractional programming problem.

Consider fractional programs that arise from management decision science; by analyzing system efficiency in an economical sense, it is equivalent to maximizing system.

In Sectionwe introduce notation and definitions in fractional programming. Then, in Sectionwe survey major areas of applications and indicate which types of ratios are of particular interest in these applications. Properties of certain fractional programs are discussed in Section.

Abstract: This paper considers a fractional programming problem (P) which minimizes a ratio of quadratic functions subject to a two-sided quadratic constraint. As is well-known, the fractional objective function can be replaced by a parametric family of quadratic functions, which makes (P) highly related to, but more difficult than a single quadratic programming problem subject to a similar Author: Van-Bong Nguyen, Ruey-Lin Sheu, Yong Xia.Downloadable!

This paper, which is presented in two parts, is a contribution to the theory of fractional programming, i.e., maximization of quotients subject to constraints.

In Part I a duality theory for linear and concave-convex fractional programs is developed and related to recent results by Bector, Craven-Mond, Jagannathan, Sharma-Swarup, et al. Basic duality theorems of linear, quadratic.May 31,  · Buy Fractional Programming by 3rdrailphotography.com Minasian from Waterstones today!

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