A new algorithm for nonlinear mathematical programming based on fuzzy inference

2003 ◽  
Author(s):  
Tao Wang ◽  
Yan-Ping Wang
Keyword(s):  
Mathematical Programming ◽  
Fuzzy Inference ◽  
Nonlinear Mathematical Programming

scholarly journals OPTIMIZATION OF TRUSS HEIGHT

2010 ◽  
Vol 2 (6) ◽  
pp. 56-60 ◽  
Author(s):  
Tomas Ulitinas ◽  
Stanislovas Kalanta
Keyword(s):  
Mathematical Model ◽  
Mathematical Programming ◽  
Programming Problem ◽  
Cross Sections ◽  
Software Package ◽  
Iterative Process ◽  
Mathematical Programming Problem ◽  
Mathematical Software ◽  
Nonlinear Mathematical Programming ◽  
The Cross

The article analyzes the task in truss height and in the optimization of the cross-sections of their elements. Element cross-sections are designed of steel profiles considering requirements for strength, stability and rigidity. A mathematical model is formulated as a nonlinear mathematical programming problem. It is solved as an iterative process, using mathematical software package “MATLAB” routine “fmincon”. The ratio of buckling is corrected in the each iteration. Optimization results are compared with those obtained applying software package “Robot Millennium”.

A Boundary Tracking Optimization Algorithm for Constrained Nonlinear Problems

1978 ◽  
Vol 100 (2) ◽  
pp. 292-296 ◽  
Author(s):  
J. Y. Moradi ◽  
M. Pappas
Keyword(s):  
Mathematical Programming ◽  
Optimization Algorithm ◽  
Numerical Optimization ◽  
Nonlinear Problems ◽  
Nonlinear Constraints ◽  
Comparison Study ◽  
Boundary Tracking ◽  
Nonlinear Mathematical Programming ◽  
Mathematical Programming Problems ◽  
Tracking Strategy

A new procedure for numerical optimization of constrained nonlinear problems is described. The method makes use of an efficient “Boundary Tracking” strategy to move on the constraint surfaces. In a comparison study it was found to be an effective method for treating nonlinear mathematical programming problems particularly those with difficult nonlinear constraints.

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