1. Azure Container Service: Azure Container Service (ACS) is a cloud-based container orchestration service that allows you to deploy, scale, and manage containerized applications using popular open-source tools and frameworks, such as Docker and Kubernetes. It provides infrastructure support and automates the creation, configuration, and scaling of container clusters, allowing you to focus on your applications without worrying about underlying infrastructure management.

2. Docker Cloud: Docker Cloud is a hosted service that provides a centralized platform for managing your Dockerized applications and deploying them to various cloud providers. It simplifies the deployment process by providing a user-friendly interface to manage your containers and services, and also offers features like automated builds, continuous integration, and load balancing.

3. Integration with Cloud Providers: Azure Container Service is tightly integrated with the Microsoft Azure cloud platform and leverages its scalability and management capabilities. It allows you to deploy and manage container clusters directly within Azure, making it easier to take advantage of other Azure services and features. On the other hand, Docker Cloud offers support for multiple cloud providers, including Azure, AWS, and Google Cloud, allowing you to deploy and manage containers across different cloud environments.

4. Management and Monitoring: Azure Container Service provides built-in management and monitoring capabilities, allowing you to easily monitor the health and performance of your container clusters and applications. It integrates with Azure Monitor and Azure Log Analytics, providing rich insights and alerts. Docker Cloud also offers monitoring and logging features, but it primarily focuses on container orchestration and deployment rather than deep application-level monitoring.

5. Multi-tenant vs Single-tenant: Azure Container Service is a multi-tenant service provided by Microsoft Azure, which means that the underlying infrastructure is shared among multiple customers. On the other hand, Docker Cloud offers both multi-tenant and single-tenant options. The single-tenant option provides dedicated infrastructure for your containers, offering better isolation and performance guarantees.

6. Scalability and Availability: Azure Container Service is designed to scale with your application needs. It leverages the underlying Azure platform to provide automatic scaling and high availability, ensuring that your container clusters can handle increased traffic and workload demands. Docker Cloud also supports scalability and high availability, but it may require more manual configuration and setup compared to Azure Container Service.

In Summary, Azure Container Service is tightly integrated with Microsoft Azure, while Docker Cloud offers support for multiple cloud providers. Azure Container Service provides built-in management and monitoring capabilities, and it is a multi-tenant service. On the other hand, Docker Cloud offers both multi-tenant and single-tenant options, and it requires more manual configuration for scalability and availability.