A Simplex Crossover based evolutionary algorithm including the genetic diversity as objective

► Previous paper presented the Genetic Diversity Evolutionary Algorithm (GeDEA). ► A great step forward is here presented which we called GeDEA-II. ► It features a novel crossover operator, the Simplex-Crossover, and a novel mutation operator, the Shrink-Mutation. ► Comparison is given among GeDEA-II and other modern elitist methods on different extremely multidimensional test problems. ► Performance of GeDEA-II on test cases is shown.