Fractional Programming Theory, Methods and Applications

By: I.M. Stancu-Minasian

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434 Pages

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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. In the present monograph we opt for the domain of fractional programming. Interest of this subject was generated by the fact that various optimization problems from engineering and economics consider the minimization of a ratio between physical and/or economical functions, for example cost/time, cost/volume,cost/profit, or other quantities that measure the efficiency of a system. For example, the productivity of industrial systems, defined as the ratio between the realized services in a system within a given period of time and the utilized resources, is used as one of the best indicators of the quality of their operation. Such problems, where the objective function appears as a ratio of functions, constitute fractional programming problem. Due to its importance in modeling various decision processes in management science, operational research, and economics, and also due to its frequent appearance in other problems that are not necessarily economical, such as information theory, numerical analysis, stochastic programming, decomposition algorithms for large linear systems, etc., the fractional programming method has received particular attention in the last three decades.

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You Can Find This Book In

Non-Fiction Mathematics Probability & Statistics Computing & I.T.Computer Programming & Software Development Applied Mathematics Optimisation Linear Programming Economics Econometrics Economic Statistics Economic Theory & Philosophy

Engineering & Technology Mechanical Engineering & Materials Production & Industrial Engineering Business & Management Operational Research

Introduction	p. 1
Fractional Programming Applications	p. 6
Convex, Quasiconvex, Pseudoconvex, Logarithmic Convex, [alpha]m-convex, and Invex Functions	p. 34
Methods for Solving Linear Fractional Programming Problems	p. 62
Nonlinear Fractional Programming	p. 133
Duality in Fractional Programming	p. 163
Fractional Programming with Multiple Objective Functions	p. 186
Fractional Programming in the Complex Space	p. 207
Special Linear Fractional Programming Problems	p. 238
Integer and Mixed Integer Linear Fractional Programming	p. 308
Fractional Transportation Problem	p. 336
Bibliography	p. 365
Subject Index	p. 405
Author Index	p. 413
Table of Contents provided by Blackwell. All Rights Reserved.

Fractional Programming Theory, Methods and Applications

At a Glance

Hardcover

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How to return your order

Defective items

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