SAP ASE uses a hysteresis value, the global variable @@thresh_hysteresis, to control the sensitivety levels of thresholds to variations in free space.
A threshold is deactivated after it executes its procedure, and remains inactive until the amount of free space in the segment rises @@thresh_hysteresis pages above the threshold. This prevents thresholds from executing their procedures repeatedly in response to minor fluctuations in free space.
You cannot change the value of @@thresh_hysteresis.
For example, when the threshold in the previous figure executes sp_thresholdaction, it is deactivated.
In the following figure, the threshold is reactivated when the amount of free space increases by the value of @@thresh_hysteresis: