Give the Tableau admin the choice of acknowledging an Alert and thus removing it from the list of Alerts. In the example below, I have an Alert for a workbook (MY2015_ACM) that is on a weekly schedule for every Sunday as well as the Alert notification:
I want the option to acknowledge the Alert and remove it from the Alerts queue. The Alert can appear again in the queue if it is still failing at its next Task execution.
Cleans up the Alerts. Some Alerts get fixed and will clear on their next Task cycle. Others will remain 'broken' until a much later fix date. These extraneous Alerts clutter up the view AND count of new Alerts.