Magistrsko delo obravnava optimizacijo nosilcev in stebrov iz armiranega betona, jekla in lepljenega lameliranega lesa. Za izbrane konstrukcije so bili izračunani optimalni (najnižji) materialni stroški in izbrane optimalne dimenzije prečnih prerezov ter trdnostni razredi posameznega materiala. Izračuni so bili izvedeni za različne razpone nosilcev, različne višine stebrov in različne koristne obtežbe. Rezultati so bili med seboj primerjani. Za optimizacijo, ki je bila izvedena z mešanim celoštevilskim nelinearnim programiranjem, so bili razviti in uporabljeni optimizacijski modeli omenjenih konstrukcij, zapisani v višjem algebrajskem jeziku GAMS.This Master thesis deals with the optimization of beams and columns made of reinforced concrete, steel and glued laminated timber. For selected structures the optimal (minimal) material costs, optimal cross section dimensions and optimal strength classes were calculated. The calculations were performed for different spans of beams, different heights of columns and for different live loads. The results were compared. For the optimization, which was performed by the Mixed Integer Nonlinear Programming approach, optimization models of the mentioned structures were developed and applied, modelled in GAMS, a high level language
