Within a processing of a sender task, a transmission request occurs that a data item be sent to a processing of a recipient task. The data item is then once stored in a queue from which the recipient task can retrieve the data item when the recipient task is thereafter activated. When the data item is stored, it is determined whether the queue already stores another data item. When no another data item is being stored, an activation request for activating the recipient task is outputted to the operating system. When another data item is being stored, no activation request is outputted. Within the processing of the recipient task, all the data items are retrieved from the queue. This decreases the activation/termination of the recipient task, reducing the processing load.