With swirl-stabilized premix burners (1) is an axial mass flow distribution of the injected fuel is used which has with respect to properties such as NO¶x¶ emissions and maximum amplitudes occurring pulsations particularly favorable values, by Pareto solutions are determined with respect to said features, by a distributor ( 5) by which the distributor (5) by means of a control unit (10) is set are represented with control valves by a tree structure with distributing parameters and produced in a data processing system (9) by means of an evolutionary algorithm iteratively values for Verteilparameter. Due to the by a measuring unit (11) values obtained solutions are selected that are with respect to the mentioned properties particularly favorable, in particular pareto-optimal. The distribution devices or the premix burner of burner assembly are then formed according to such a solution.