Docker Cloud is Docker’s hosted service for continuously delivering Docker applications. Automatically build your Docker images on source control push. Create and share your public repos with the community or private repos securely within your team. Deploy scalable services, securely and reliably, on a wide variety of platforms.
Red Hat OpenShift is a container application development and hosting platform that automates management tasks so you can focus on development and writing apps to meet business goals. Developers can easily and quickly develop, build, deploy and manage containerized applications in the cloud. OpenShift brings the benefits of PaaS to the enterprise with a private application platform in your data center or private cloud.