MINLP optimization of structures

The paper discusses the mixed-integer non-linear programming (MINLP) approach to the optimization of structures. The MINLP is an optimization technique which is able to solve non-linear and discrete optimization problems. It calculates continuous variables (loads, dimensions, stresses, deflections, costs) and discrete variables (topology, standard sections, material grades). The MINLP optimization model of a structure should be developed. In the model, an objective function is subjected to structural analysis and dimensioning constraints in order to satisfied ultimate and serviceability limit states according to Eurocodes. Appropriate MINLP algorithms and strategies are used to solve the defined MINLP problem. Two numerical examples are presented at the end of the paper