Analysis of Multicriteria Resource Allocation Problems Under Certainty and Uncertainty

Authors

DOI:

https://doi.org/10.62876/tekhne.v28i2.6552

Keywords:

operations research, linear programming, optimization algorithms, uncertainty, resource allocations

Abstract

The efficient allocation of available resources is vital for project management, especially with increasingly complex systems. The presence of uncertainty and the need to reconcile different objectives makes it imperative to resort to the use of abstractions to simplify behavior and facilitate the analysis of these situations. Through the use of mathematical optimization models and the incorporation of specialized algorithms, addressing the resolution of resource allocation problems using the multicriteria approach in scenarios under certainty and uncertainty is sought, generating appropriate variants for obtaining the relevant solution maps. Topics related to mathematical modeling, generating equivalent linear expressions and developing application cases that allow illustrating the behavior and applicability of the results obtained through computational experience are addressed.

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References

D. E. Luenberger, de Programación lineal y no lineal, México D.F., Addison Wesley Iberoamericana, 1989.

I. Da Pena, Sistema de apoyo a la toma de decisiones bajo riesgo para el problema de asignación de recursos multicriterio, Caracas: Universidad Católica Andrés Bello, 2023.

A. Crema y J. L. Quintero Dávila, «An algorithm for multiparametric min max 0-1 integer programing problems relative to the objective function,» RAIRO Operations Research, nº 39, pp. 243-252, 2005. DOI: https://doi.org/10.1051/ro:2006004

A. Crema y J. L. Quintero, «An algorithm for multiparametric 0-1 integer programing problems relative to a generalized min max objective function,» RAIRO Operations Research, pp. 1-12, 2009. DOI: https://doi.org/10.1051/ro/2009002

J. F. Jacobi, Diseño e implementación de tres algoritmos para el problema multiparamétrico de programación lineal entera 0-1 multiobjetivo relativo a la función objetivo, Caracas: Universidad Central de Venezuela, 2010.

J. Sylva y A. Crema, «Enumerating the set of non-dominated vectors in multiple objective integer linear programing,» RAIRO Operations Research, nº 42, pp. 371-387, 2008. DOI: https://doi.org/10.1051/ro:2008018

H. A. Taja, Investigación de Operaciones, una introducción, 2da ed., Mexico: Represntaciones y servicios de ingeniería S.A., 1981.

D. W. Pentico, «Assignment problems: A golden anniversary survey,» European Journal of Operational Research, pp. 774-793, 18 Noviembre 2005. DOI: https://doi.org/10.1016/j.ejor.2005.09.014

J. L. Quintero, Fundamentos de la toma de desiciones, Caracas: (Sin publicar), 2021.

J. L. Quintero, Toma de decisiones bajo riesgo, Caracas: (Sin Publicar), 2020.

Published

11/03/2025

How to Cite

Da Pena, I., & Quintero Dávila, J. L. (2025). Analysis of Multicriteria Resource Allocation Problems Under Certainty and Uncertainty. Tekhné, 28(2), 21–43. https://doi.org/10.62876/tekhne.v28i2.6552

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Articles

ARK