Posynomial Parametric Geometric Programming with Interval Valued Coefficient

G. S. Mahapatra () and T. K. Mandal ()
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G. S. Mahapatra: Siliguri Institute of Technology
T. K. Mandal: D.I.B. High School

Journal of Optimization Theory and Applications, 2012, vol. 154, issue 1, No 8, 120-132

Abstract: Abstract The article presents solution procedure of geometric programming with imprecise coefficients. We have considered problems with imprecise data as a form of an interval in nature. Many authors have solved the imprecise problem by geometric programming technique in a different way. In this paper, we introduce parametric functional form of an interval number and then solve the problem by geometric programming technique. The advantage of the present approach is that we get optimal solution of the objective function directly without solving equivalent transformed problems. Numerical examples are presented to support of the proposed approach.

Keywords: Geometric programming; Interval number; Uncertain parameter; Optimization; Duality theorem (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-012-9996-6

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