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On some models of linear optimization with applications

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  • Cătălin-Ilie Mitran

Abstract

The purpose of this paper is to present an economic model of profit maximization in case of a factory that has a number of equipments that must produce a certain number of workpieces in terms of time and profit specified. Using two mathematical models for solving linear optimization problems will be solved a particular case of the mentioned economic problem. One of the method is based on graphics resolution and the other on the simplex algorithm. First of all will be presented the data of the problem with a particular case for solving and after these a short presentation of the two above mentioned methods followed by the itself solve of the problem using these methods and the results analysis.

Suggested Citation

  • Cătălin-Ilie Mitran, 2015. "On some models of linear optimization with applications," Annals of the University of Petrosani, Economics, University of Petrosani, Romania, vol. 15(1), pages 223-230.
  • Handle: RePEc:pet:annals:v:15:y:2015:i:1:p:223-230
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    More about this item

    Keywords

    linear optimization problem; simplex algorithm; graphics method; polygon of the solutions;
    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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