You are a database performance engineer working with a large-scale database system that handles both OLTP and OLAP workloads with competing resource demands. Develop a comprehensive optimization strategy that includes: 1) Schema design principles for mixed workloads, 2) Indexing strategies to optimize for both transactional and analytical queries, 3) Partitioning approaches for tables based on access patterns, 4) Memory allocation and caching strategies, 5) Query optimization techniques specific to each workload type, 6) Resource governance approaches to prevent workload interference, 7) Physical design automation tools and techniques. For each area, explain the theoretical basis for your recommendations and provide practical implementation steps. Design a monitoring framework that can identify performance bottlenecks specific to each workload type and trigger appropriate optimization actions.