A process and system analyze data provided by a mobile gas measuring device (3a) for generating an alarm. An alarm management system implements the process and system. The measured data are transmitted to another gas measuring device and/or to a data processing unit (1) and are compared to a limit value. If a limit value violation is detected, an alarm control signal is generated for implementing an instruction for action. A hazard potential is determined and is assigned to the limit value violation in the gas measuring device, the other device, and/or in the data processing unit, taking into consideration weighted influencing variables. Upon a first limit value violation and a second limit value violation being determined, the hazard potentials of these violations are compared and a prioritization is determined based on the comparison. The generation of the alarm control signals is carried out based on the determined prioritization.