Linear-Fractional Programming

Bajalinov, Erik B. (Department of Computer Science, Debrecen University, Hungary)

ISBN 10: 1402076266 / ISBN 13: 9781402076268

Editore: Kluwer Academic Publishers, 2003

Offers a "direct" approach to LFP and to duality in LFP. This book provides readers with the basic knowledge necessary to build LFP models, to solve LFP problems and to utilize the optimal solution obtained. It contains information on WinGULF, a software package that is designed to solve LFP problems with continuous as well as integer variables. Series: Applied Optimization. Num Pages: 453 pages, biography. BIC Classification: PBW; UM. Category: (G) General (US: Trade); (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 234 x 156 x 25. Weight in Grams: 813. . 2003. Hardback. . . . . Codice articolo V9781402076268

Riassunto:

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.

Recensione:

From the reviews:

"Although several books on general (nonlinear) fractional programming are available, this is the first monograph entirely devoted to linear-fractional problems. As the title indicates, it deals with both the theoretical and the algorithmic aspects of the subject, including the description of a program package for Windows." (Juan-Enrique Martínez-Legaz, Zentralblatt MATH, Vol. 1067 (18), 2005)

Dati bibliografici

Titolo: Linear-Fractional Programming
Casa editrice: Kluwer Academic Publishers
Data di pubblicazione: 2003
Legatura: Rilegato
Condizione: New