ABSTRACT

Geometric Programming (GP) involves the minimization of functions of a special type, known as posynomials. The first systematic treatment of geometric programming appeared in the book [113], by Duffin, Peterson and Zener, the founders of geometric programming. As we shall see, the Generalized Arithmetic-Geometric Mean Inequality plays an important role in the theoretical treatment of geometric programming, particularly in the development of the dual GP (DGP) problem. The MART is then used to solve the DGP.