MODELS AND METHODS OF LINEAR OPTIMIZATION WITH UNCERTAINTY: A BRIEF REVIEW OF THE STATE OF THE ART

Authors

  • Edith Malca Arroyo
  • Edmundo Vergara Moreno
  • Flabio Gutiérrez Segura
  • Rafael Asmat Uceda

DOI:

https://doi.org/10.17268/sel.mat.2015.02.02

Keywords:

Optimization, uncertainty

Abstract

In the modeling of many problems on linear optimization is not possible to consider the classic deterministic model because the set of parameters is not fully known due to the significant variation of the data along time or because there is no uniformity on the values. These kind of problems are known as problems with uncertainty and there are different approaches about modeling and methods of solution to resolve them. In this paper we make a review of such approaches focusing basically in stochastic optimization, fuzzy optimization, intervaling optimization and hybrid optimization. The difference between these approaches is perceived in the nature of the data, notions of feasibility and optimality and computational requirements, among others.

References

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Asai, K., Ichihashi H., Tanaka, H. A formulation of fuzzy linear programing problems based on comparison of fuzzy number. Control and Cybertec, 13 (1984), pp. 185-194.

Arenas, M., Jiménez, M., Rodriguez, M. Programación lineal posibilistica., Revista de Dirección y Administración de Empresas; 1997.

Published

2015-12-28

How to Cite

Malca Arroyo, E., Vergara Moreno, E., Gutiérrez Segura, F., & Asmat Uceda, R. (2015). MODELS AND METHODS OF LINEAR OPTIMIZATION WITH UNCERTAINTY: A BRIEF REVIEW OF THE STATE OF THE ART. Selecciones Matemáticas, 2(02), 76-82. https://doi.org/10.17268/sel.mat.2015.02.02

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