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AuthorBajalinov, Erik B. author
TitleLinear-Fractional Programming Theory, Methods, Applications and Software [electronic resource] / by Erik B. Bajalinov
ImprintBoston, MA : Springer US : Imprint: Springer, 2003
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Descript XXVIII, 425 p. online resource


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 opยญ timization. LFP problems deal with determining the best possible alloยญ 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 perยญ 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 conยญ 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

Mathematics Operations research Decision making Computer science -- Mathematics Mathematical models Mathematical optimization Mathematics Optimization Operation Research/Decision Theory Mathematical Modeling and Industrial Mathematics Mathematics of Computing


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