Hi, I have a little familiarity with bluemix but not a lot. Are you looking to deploy Magento as an application on top of the bluemix infrastructure or is there another IBM service that you're looking to deploy to bluemix that you'd like to integrate with Magento?
Out of interest, why do you want to integrate with Bluemix?
----
If you've found one of my answers useful, please give "Kudos" or "Accept as Solution" as appropriate. Thanks!