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• It can be implemented using arrays, linked lists, or heaps, with heaps being the most
efficient.
11.4.2 Implementation Using Heaps
The most common implementation of a priority queue is through a binary heap, which
ensures efficient operations. In a max-heap, the highest priority element is always at the root,
while in a min-heap, the lowest priority element is at the root. This allows insertion and
deletion in (log )time.
Example in C++ using STL (priority_queue):
11.4.3 Applications in Scheduling and Networking
Priority queues are widely applied in real-world systems:
• Operating Systems: Scheduling processes based on priority levels.
• Networking: Managing packets where urgent data is transmitted first.
• Artificial Intelligence: Implementing algorithms like A* search, where nodes are
explored based on priority.
• Event Simulation: Handling events in chronological or priority order.
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