I have created an Azure Web App on Standard Service Plan with Always On option enabled. On this App I haven't published any web site. I have only published a Continuous Web Job.
The problem is that although I have enabled the Always On option, I can see in the Web Job logs that the Web App stopped.
Here are the Web Job logs:
[09/29/2015 07:35:26 > 189701: SYS INFO] WebJob is still running
[09/29/2015 08:51:54 > 189701: SYS INFO] WebJob is stopping due to website shutting down
[09/29/2015 08:51:54 > 189701: SYS INFO] Status changed to Stopping
[09/29/2015 08:52:04 > 189701: SYS INFO] Status changed to Starting
[09/29/2015 08:52:25 > 189701: SYS INFO] Run script 'ExchangePullNotifications.exe' with script host - 'WindowsScriptHost'
[09/29/2015 08:52:25 > 189701: SYS INFO] Status changed to Running