The most direct and common use of a heap is to implement a Priority Queue abstract data type.

  • In Operating Systems, a CPU scheduler uses a priority queue to decide which process to run next. System-critical tasks get higher priority and are processed before background jobs, ensuring responsiveness.
  • In Network Routers, priority queues manage data packets. Real-time packets, like video calls, are prioritized over bulk transfers, like file downloads, to guarantee quality of service.

Key Principle

A heap ensures that the highest (or lowest) priority item is always at the root, making it available in \(O(1)\) time for inspection (peek) and \(O(\log n)\) time for extraction.

Ready Processes Min-Heap (Priority Queue) CPU Process C (P=5) Process A (P=3) Process B (P=1)
Initial state.