IJPAM: Volume 57, No. 3 (2009)
FOR POSITIVE GEOMETRIC PROGRAMMING



Dalian University of Technology
2, Linggong Road, Dalian, Liaoning Province, 116024, P.R. CHINA



Henan Polytechnic University
Jiaozuo, 454003, P.R. CHINA
Abstract.The geometric programming is a special kind of
nonlinear programming, and is widely used in the engineering
design, production management, chemical process and so on. A new
type interior-conjugate gradient mix-method is proposed for
constrained positive geometric programming. First, the constrained
positive geometric programming is transformed into an equally
unconstrained geometric programming problem using interior penalty
function method. Then particular parameters are
constructed based on conjugate gradient method. It is proved that the
method is globally convergent.
Received: October 28, 2009
AMS Subject Classification: 90C25, 52A41, 26B25, 90C30
Key Words and Phrases: geometric programming, interior penalty function method, conjugate gradient method, global convergence
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 3