The present disclosure is directed to systems, methods, and devices that enable monitoring of threshold values related to parameters within a printing device through the communication of one or more terminal devices and the printing device with a threshold subscription unit. The terminal devices transmit threshold values to be monitored to the threshold subscription unit. The threshold subscription unit then orders those threshold values into a queue and assigns one to the printing device. Upon receiving an alert from the printing device that a parameter value related to the assigned threshold value has been reached, the threshold subscription unit notifies the terminal devices of this and assigns the next threshold value in the queue to the printing device. This continues until all threshold values in the queue have been reached.