Application of Reduced-set Pareto-Lipschitzian Optimization to truss optimization

On the Pareto-Lipschitzian Optimization

A well-known example of global optimization that provides solutions within fixed error limits is optimization of functions with a known Lipschitz constant. In many real-life problems this constant is unknown. To address that, we propose a novel method called Pareto Lipshitzian Optimization (PLO) that provides solutions within fixed error limits for functions with unknown Lipschitz constants. In...

On the Pareto Optimality in the Context of Lipschitzian Optimization

A well-known example of global optimization that provides solutions within fixed error limits is optimization of functions with a known Lipschitz constant. In many real-life problems this constant is unknown. To address that, we propose a novel method called Pareto–Lipschitzian Optimization (PLO) that provides solutions within fixed error limits for functions with unknown Lipschitz constants. I...

Research of Pareto Set by Genetic Algorithm, Application to Multicriteria Optimization of Fuzzy Controler

In a multiobjective problem of decision, it is very often difficult to say which solution we want to keep as aggregation for the different goals we have. We present here an adaptation of an evolution strategy which is able to give a set of solutions. First, the user must define all goals as a list of numeric functions to optimize, like cost, quality... During evolution, it is possible to keep s...

From Optimal Structural Configuration to Truss Optimization

An integrated truss design methodology based on homogenization-based topology optimization is proposed. After performing continuum topology optimization to obtain the optimal structural configuration, in the case that the percentage usage of the materials is low, the methodology can automatically proceed to the truss optimization based on the model, and achieve the optimum truss structure meeti...

Truss Design and Convex Optimization