1989 | OriginalPaper | Buchkapitel
Geometric Programming with Equality Constraints
verfasst von : Lahbib Chibani
Erschienen in: Optimum Design of Structures
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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As outlined in chapter 1, integrated optimum structural design represents an optimization problem with both equality constraints and inequality constraints. In this method the analysis and optimal design of the structure are carried out simultaneously. The disadvantage of this approach, however, is that the formulation results in a large size problem. Generalized geometric programming is a powerful mathematical tool that can be used to solve the multidimensional optimization problems with nonlinear equations, Burns (1985). In this chapter we will present the generalized geometric programming (GGP) and its extensions to the solution of problems with equality constraints (GGPE). We will also describe the IGGP solver, Burns (1982), and the added extensions for the optimal solution.