Advanced Query Optimization for Real-Time Analytics Pipeline

Develop a high-performance database query optimization strategy for a real-time event tracking system in a technology startup. Create a solution that can handle 500,000 concurrent writes per minute and support complex analytical queries with sub-100ms response times. Implement a hybrid indexing strategy using both clustered and non-clustered indexes, design efficient partitioning mechanisms, and create a caching layer that minimizes database load. Include specific recommendations for MySQL or PostgreSQL optimization in a Laravel environment.