Computer Science – Numerical Analysis
Scientific paper
2010-02-05
International Journal of Computer Science Issues, IJCSI, Vol. 7, Issue 1, No. 2, January 2010, http://ijcsi.org/articles/Geo
Computer Science
Numerical Analysis
International Journal of Computer Science Issues, IJCSI, Vol. 7, Issue 1, No. 2, January 2010, http://ijcsi.org/articles/Geo
Scientific paper
Geometric programming (GP) provides a power tool for solving a variety of optimization problems. In the real world, many applications of geometric programming (GP) are engineering design problems in which some of the problem parameters are estimating of actual values. This paper develops a solution procedure to solve nonlinear programming problems using GP technique by splitting the cost coefficients, constraint coefficients and exponents with the help of binary numbers. The equivalent mathematical programming problems are formulated to find their corresponding value of the objective function based on the duality theorem. The ability of calculating the cost coefficients, constraint coefficients and exponents developed in this paper might help lead to more realistic modeling efforts in engineering design areas. Standard nonlinear programming software has been used to solve the proposed optimization problem. Two numerical examples are presented to illustrate the method.
Das Amal K.
Ojha Animesh K.
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