Intelligent Student Scheduling Optimization Engine

Create a Laravel-based scheduling microservice that uses constraint satisfaction algorithms to automatically generate optimal student course schedules. The system must: 1) Consider student prerequisites, 2) Balance classroom capacities, 3) Minimize scheduling conflicts, 4) Prioritize student graduation pathways, 5) Generate real-time schedule recommendations. Implement a machine learning component that improves scheduling recommendations based on historical enrollment data and student success metrics.