Fractional Programming

Theory, Methods and Applications

  • I. M. Stancu-Minasian

Part of the Mathematics and Its Applications book series (MAIA, volume 409)

Table of contents

  1. Front Matter
    Pages i-viii
  2. I. M. Stancu-Minasian
    Pages 1-5
  3. I. M. Stancu-Minasian
    Pages 6-33
  4. I. M. Stancu-Minasian
    Pages 133-162
  5. I. M. Stancu-Minasian
    Pages 163-185
  6. I. M. Stancu-Minasian
    Pages 186-206
  7. I. M. Stancu-Minasian
    Pages 207-237
  8. I. M. Stancu-Minasian
    Pages 238-307
  9. I. M. Stancu-Minasian
    Pages 308-335
  10. I. M. Stancu-Minasian
    Pages 336-364
  11. Back Matter
    Pages 365-418

About this book

Introduction

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.

Keywords

Optimization Theory duality linear optimization mathematical programming optimization

Authors and affiliations

  • I. M. Stancu-Minasian
    • 1
  1. 1.Centre for Mathematical StatisticsThe Romanian AcademyBucharestRomania

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-0035-6
  • Copyright Information Springer Science+Business Media B.V. 1997
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-6504-7
  • Online ISBN 978-94-009-0035-6
  • About this book
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