With Bluemix Public you can view the status page which details all the runtimes and services and thier current status on all 3 PUBLIC regions. Those customers with Bluemix Dedicated or Local get a status page which includes a column on the status of thier Dedicated or Local instance.
To navigate to it perform the following steps:
1. Log into your Bluemix dedicated or local instance web console
2. Click on the Status link which is accessed through the profile icon on the top right hand corner
3. You will see a table as follows as well as status messages to indicate the current status of your own Bluemix Local or Dedicated Environment.