Hospital Resource Allocation Optimization Framework

Develop a comprehensive SQL solution that dynamically models hospital resource allocation using time-series analysis and predictive staffing algorithms. Create a set of complex queries that analyze historical patient admission rates, staff performance metrics, and seasonal variations. Implement recursive common table expressions (CTEs) to forecast staffing needs, design dynamic pivot tables that show real-time resource utilization, and create alert mechanisms for potential understaffing or overcapacity scenarios. Include performance optimization techniques and demonstrate how to generate exportable dashboard-ready datasets.