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Some new views on hyperbolic optimization

Rosen Nikolaev ()
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Rosen Nikolaev: University of Economics - Varna

An Annual Book of University of Economics - Varna, 2015, vol. 87, issue 1, 243-291

Abstract: In a number of economic problems we need to design optimization mathematicalmodels with linear-fractional (hyperbolic) optimality criteria in the process of solving them. In the present study there are made certain additions to hyperbolic optimization theory. There are drawn properties connected with the specifics of that type of model andare formulated conditions under which there can be answered the question regarding theexistence or non-existence of an optimal solution. There are proposed three methods of solving the problem of linear-fractional optimization, whose application is supported bymeans of suitable examples, and is offered an economic interpretation of the issues laid down in the study.

Keywords: model; hyperbolic optimization; linear-fractional optimization; relative criteria (search for similar items in EconPapers)
JEL-codes: C61 (search for similar items in EconPapers)
Date: 2015
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Handle: RePEc:vrn:yrbook:y:2015:i:1:p:243-291