Method for controlling access to resources of a data processing system, in which - a priority classification number is determined for a request to access at least one resource, - a comparison classification number is determined for granting access to the at least one requested resource with regard to an alternative use of the resource, - an extreme value for a sum of products of a respective priority classification number and a number of resource access operations which can be respectively granted is determined for all resource requests made of the data processing system taking into account a maximum capacity of a requested resource, correction values which indicate relevant portions of a period of use of a requested resource by a resource request within a predefinable period being calculated for the resource requests and being included in the determination of the extreme value, - the maximum capacity of a requested resource is determined taking into account a predicted demand for the requested resource within a predefinable period and utilization of resource at a predefinable time, a correction value being calculated for the maximum capacity of a requested resource on the basis of predicted remaining periods of resource requests requesting access to the resource and this correction value being included in the determination of the extreme value, - for a resource request, a check is carried out in order to determine whether the priority classification number and the comparison classification number have a predefined ratio with respect to one another, - access is granted on the basis of the determined extreme value and the checking result. - a priority classification number is determined for a request to access at least one resource, - a comparison classification number is determined for granting access to the at least one requested resource with regard to an alternative use of the resource, - an extreme value for a sum of products of a respective priority classification number and a number of resource access operations which can be respectively granted is determined for all resource requests made of the data processing system taking into account a maximum capacity of a requested resource, correction values which indicate relevant portions of a period of use of a requested resource by a resource request within a predefinable period being calculated for the resource requests and being included in the determination of the extreme value, - the maximum capacity of a requested resource is determined taking into account a predicted demand for the requested resource within a predefinable period and utilization of resource at a predefinable time, a correction value being calculated for the maximum capacity of a requested resource on the basis of predicted remaining periods of resource requests requesting access to the resource and this correction value being included in the determination of the extreme value, - for a resource request, a check is carried out in order to determine whether the priority classification number and the comparison classification number have a predefined ratio with respect to one another, - access is granted on the basis of the determined extreme value and the checking result.