The present disclosure relates to a method for operating a medical system, comprising: providing a first threshold value for the physiological parameter in the control device, the first threshold value being assigned to a first receiving device configured to notify a user of the first receiving device in response to receiving signaling data from the control device; providing a second threshold value for the physiological parameter in the control device, the second threshold value being different from the first threshold value and assigned to a second receiving device which is different from the first receiving device and configured to notify a user of the second receiving device in response to receiving the signaling data from the control device; receiving a stream of monitoring data indicating a physiological parameter continuously monitored by the sensor device in the control device; determining a present value for the physiological parameter from the stream of monitoring data; and transmitting, in response to the present value exceeding the first threshold value, the signaling data from the control device to the first receiving device, and, in response to the present value exceeding the second threshold value, the signaling data from the control device to the second receiving device. Further, a medical device, a control device, and a computer program product are provided.