# Linear-Fractional Programming Theory, Methods, Applications and Software

Book

Part of the Applied Optimization book series (APOP, volume 84)

1. Front Matter
Pages i-xxvii
2. Erik B. Bajalinov
Pages 1-6
3. Erik B. Bajalinov
Pages 7-39
4. Erik B. Bajalinov
Pages 41-74
5. Erik B. Bajalinov
Pages 75-127
6. Erik B. Bajalinov
Pages 129-175
7. Erik B. Bajalinov
Pages 177-203
8. Erik B. Bajalinov
Pages 205-218
9. Erik B. Bajalinov
Pages 219-244
10. Erik B. Bajalinov
Pages 245-286
11. Erik B. Bajalinov
Pages 287-301
12. Erik B. Bajalinov
Pages 303-310
13. Erik B. Bajalinov
Pages 311-380
14. Erik B. Bajalinov
Pages 381-408
15. Back Matter
Pages 409-423

### Introduction

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 1960'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. In particular, they may deal with situations where a number of resources, such as people, materials, machines, and land, are available and are to be combined to yield several products. In linear-fractional programming, the goal is to determine a per­ missible allocation of resources that will maximize or minimize some specific showing, such as profit gained per unit of cost, or cost of unit of product produced, etc. Strictly speaking, linear-fractional programming is a special case of the broader field of Mathematical Programming. LFP deals with that class of mathematical programming problems in which the relations among the variables are linear: the con­ straint relations (i.e. the restrictions) must be in linear form and the function to be optimized (i.e. the objective function) must be a ratio of two linear functions.

### Keywords

design duality linear optimization programming

#### Authors and affiliations

1. 1.Department of Computer Science Institute of InformaticsDebrecen UniversityHungary

### Bibliographic information

• Book Title Linear-Fractional Programming Theory, Methods, Applications and Software
• Authors E.B. Bajalinov
• Series Title Applied Optimization
• DOI https://doi.org/10.1007/978-1-4419-9174-4
• Copyright Information Springer-Verlag US 2003
• Publisher Name Springer, Boston, MA
• eBook Packages
• Hardcover ISBN 978-1-4020-7626-8
• Softcover ISBN 978-1-4613-4822-1
• eBook ISBN 978-1-4419-9174-4
• Series ISSN 1384-6485
• Edition Number 1
• Number of Pages XXVIII, 425
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
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