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Flexible linear programming with fuzzy constraints
Programación lineal flexible con restricciones difusas
DOI:
https://doi.org/10.15446/ing.investig.v28n1.14884Keywords:
fuzzy set, linear programming, parametric optimisation (en)conjuntos difusos, programación lineal, optimización paramétrica (es)
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The present work shows the basic concepts underlying flexible linear programming or linear programming with fuzzy constraints. The literature often presents this methodology related to inequality constraints. This works deals with a methodology for box and equality constrains; it shows how this type of problem is similar to parametric optimisation. Two examples are given to show the advantage of using this methodology.
El presente trabajo tiene como objetivo presentar los conceptos básicos de la programación lineal flexible o programación lineal con restricciones difusas. Dado que la literatura presenta dicha metodología para restricciones de desigualdad, se formula una metodología para restricciones de igualdad y de caja. Se muestra cómo un problema de este tipo equivale a uno de optimización paramétrica. Finalmente, se presentan dos ejemplos ilustrativos en los cuales se muestra la ventaja de la metodología al mejorar la solución óptima y, por otro lado, la obtención de una región factible en problemas con espacio de soluciones vacío.
References
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Jaroslav, R., Soft Computing: Overview and Recent Developments in Fuzzy Optimization., Ostravská univerzita. Listopad, 2001.
Smith, R., Jaramillo, P., Poveda, G., Mesa, O., Dyner, I., Valencia, D., Decisiones con múltiples objetivos e incertidumbre., Facultad de Minas Universidad Nacional de Colombia, Sede Medellín, 2 Edición, 2000.
Taha, H., Investigación de Operaciones., Séptima edición, Editorial Pearson, 2004.
Vasant, P., Optimization in product mix problem using fuzzy linear programming., Department of Mathematics, American degree Program, Nilai International College. Malasia, 2004.
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1. Jenny Díaz Ramírez, Jose Ignacio Huertas, Jose Ignacio Huertas. (2018). A continuous time model for a short-term multiproduct batch process scheduling. Ingeniería e Investigación, 38(1), p.96. https://doi.org/10.15446/ing.investig.v38n1.66425.
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Copyright (c) 2008 Héctor Andrés López Ospina, Mauricio Restrepo López
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