A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
A New Mathematical Procedure for Global Optimization in Nonconvex Problems
Abstract The mathematical formulation of optimum design of structures with a single objective function is usually written as: 1.a $$\min F\left( X \right)$$ subject to 1.b $${g_j}\left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{X} } \right) \leqslant 0j = 1, \ldots ,m$$ whereF ( $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{X} $$ ) is the objective function, $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{X} = \left| {{x_1}, \ldots ,{x_n}} \right|$$ is the vector of variables and $${g_j}\left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{X} } \right)$$ the set of constraints.
A New Mathematical Procedure for Global Optimization in Nonconvex Problems
Abstract The mathematical formulation of optimum design of structures with a single objective function is usually written as: 1.a $$\min F\left( X \right)$$ subject to 1.b $${g_j}\left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{X} } \right) \leqslant 0j = 1, \ldots ,m$$ whereF ( $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{X} $$ ) is the objective function, $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{X} = \left| {{x_1}, \ldots ,{x_n}} \right|$$ is the vector of variables and $${g_j}\left( {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{X} } \right)$$ the set of constraints.
A New Mathematical Procedure for Global Optimization in Nonconvex Problems
Dr. Hernández, S. (author)
1993-01-01
14 pages
Article/Chapter (Book)
Electronic Resource
English
Optimality conditions in nonconvex semi-infinite multiobjective optimization problems
| British Library Online Contents | 2016
On the stability theory in nonconvex infinite optimization problems
| British Library Online Contents | 2017
Global Optimization of Costly Nonconvex Functions Using Radial Basis Functions
| Online Contents | 2000
Global Optimization of Costly Nonconvex Functions Using Radial Basis Functions
| Springer Verlag | 2000