In either thick client or web client, the start page should have the list of servers with health score in a visual form such as a HEAT MAP. In this configuration, the servers with lowest health score should be colored in red and have a bigger surface as opposed to servers with better score. As the health score improves, the size should also decrease and the coloring should migrate towards green.
This could improve the response time and also could be put on a monitoring screen for all the members of a team/department to have access to.
This could be a stand alone feature or addon not necessarily included in the application.