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Some new views on hyperbolic optimization

Author

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  • Rosen Nikolaev

    (University of Economics - Varna)

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.

Suggested Citation

  • Rosen Nikolaev, 2015. "Some new views on hyperbolic optimization," An Annual Book of University of Economics - Varna, University of Economics - Varna, vol. 87(1), pages 243-291, January.
    • Handle: RePEc:vrn:yrbook:y:2015:i:1:p:243-291
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    More about this item

    Keywords

    model; hyperbolic optimization; linear-fractional optimization; relative criteria;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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