Hi,
Based on my research, we can Monitor Service Bus Health with System Center Operations Manager
Like many other cloud services, health monitoring of Service Bus is available with System Center Operations Manager. The Service Bus Management Pack monitors the cloud’s health including status/underlying databases, hosts, and services.
Based on a rich set of monitoring rules and built-in alerts, with System Center Operations Manager an administrator is able to detect service related issues and their root cause.
You may refer to the below link:
http://blogs.technet.com/b/in_the_cloud/archive/2013/08/21/what-s-new-in-2012-r2-enabling-modern-apps-with-the-windows-azure-pack.aspx
Regards,
Yan Li
Regards, Yan Li