Effectiveness of a geometric programming algorithm for optimization of machining economics models

A nonisolated optimal solution for special reverse convex programming problems

“…Therefore, it follows that the applications of problem (P1) include, for example, all of the applications of problem (GGP). It is well known that (GGP) has spawn a wide variety of applications since its initial development, specially in engineering design [1,4,11,14], economics and statistics [3,6,9,10], manufacturing [20,21] and chemical equilibrium [12,18] etc.…”

Posynomial geometric programming with parametric uncertainty

“…Its attractive structural properties as well as its elegant theoretical basis have led to a number of interesting applications and the development of numerous useful results. The integrated circuit design [5,11,18], engineering design [4,21], project management [26], and inventory management [3,12,13,17,25,27] are the examples. One of the remarkable properties of geometric programming is that a problem with highly nonlinear constraints can be stated equivalently as one with only linear constraints.…”

Posynomial Parametric Geometric Programming with Interval Valued Coefficient

“…(Govil [2,3], Mahapatra and Roy [4], Mahapatra and Mahapatra [5]), engineering design (Choi and Bricker [6], Prasad et al [7]), integrated circuit design (Chu and Wong [8], Hershenson et al [9], Mandal and Visvanathan [10]), inventory management (Cheng [11], Kim and Lee [12], Lee [13], Jung and Klein [14], Abuo El Ata et al [15], Worrall and Hall [16], Liu [17]), project management (Scott and Jefferson [18]), etc. The most remarkable property of geometric programming is that a problem with highly nonlinear constraints can be transformed equivalently into a problem with only linear constraints.…”