Hi pk00349892,
Just to confirm, are you sure this is for the 'Automic Workload Automation" product? From the screenshot and mention of the 'Test Agent Management" - The AWA product line, to my knowledge does not have a feature like the one in the screenshot.
If this is for AWA, when a jobs is run (since the agent have unique 'Agent name"/ and PID when started up), the job will process base on the selected agent name on the job.
If you are also have the service manager or service manger dialog, you can view from there any offline/not running agent. Along with that within the System Overview/Administrative perspective you can see the list of all the agent that are connected to the system and which one is offline or online.