In this paper, an optimization model with geometric objective function is presented. Geometric programming is widely used; many objective functions in optimization problems can be analyzed by geometric programming. We often encounter these in resource allocation and structure optimization and technology management, etc. On the other hand, fuzzy relation equalities and inequalities are also used in many areas. We here present a geometric programming model with a monomial objective function subject to the fuzzy relation inequality constraints with maxproduct composition. Simplification operations have been given to accelerate the resolution of the problem by removing the components having no effect on the solution process. Also, an algorithm and two practical examples are presented to abbreviate and illustrate the steps of the problem resolution.
Shivanian, Elyas; Keshtkar, Mahdi; and Khorram, Esmaile
Geometric Programming Subject to System of Fuzzy Relation Inequalities,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 7,
1, Article 18.
Available at: https://digitalcommons.pvamu.edu/aam/vol7/iss1/18