a process is provided for generating an alarm if at least one monitored parameter deviates from at least one preset value or value range , with the detection or determination of parameter in case of its deviation . the process takes into account a verification interval of limited duration in time and with adaptation of the time limitation of the verification interval as a function of the extent of deviation of parameter from the preset value or value range . a control device , a device for generating an alarm , a treatment devices , a digital storage medium , a computer program product as well as to a computer program are provided .