Priority queue
A priority queue is an abstract data type that retrieves or removes elements according to assigned priority rather than insertion order.
Advanced Algorithms and Data Structures
A priority queue is an abstract data structure in which each element has a priority and removal returns an element with the highest or lowest priority according to the queue ordering.
- How it is used
- Selects the next task by priority rather than arrival order, then supports selection problems and larger algorithms.
- How deep it goes
- Defines the API, contrasts implementations and explains binary-heap invariants and array indexing; leaves detailed shortest-path algorithms for later.
- Examples
- Uses severity-ranked bug reports, finding the k largest elements, shortest paths and LFU cache eviction.
- What you can do after
- Apply it via a standard-library priority queue to retrieve highest-priority tasks independently of insertion order.
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Classic Computer Science Problems in Swift: Essential techniques for practicing programmers
A priority queue is a data structure that removes elements according to priority rather than insertion order.
- How it is used
- Selects the lowest-estimated-cost node from an A* search frontier.
- How deep it goes
- Defines pop order and notes typical heap performance, but defers implementation to SwiftPriorityQueue.
- Examples
- Uses Swift search nodes whose Comparable ordering evaluates cost plus heuristic.
- What you can do after
- Apply it via SwiftPriorityQueue to order an A* frontier by estimated total cost.
Grokking Data Structures
A priority queue is a data structure that retrieves elements according to their priority rather than solely by insertion order.
- How it is used
- Selects the next item by urgency or another priority instead of insertion order.
- How deep it goes
- Defines insert and top, compares storage approaches, and reaches array-backed heaps and heapify.
- Examples
- Uses emergency-room triage and bug reports with four urgency levels.
- What you can do after
- Build it from scratch with an array-backed binary heap supporting logarithmic-time insert and top.
Python Concurrency with asyncio
A priority queue is a data structure that retrieves items according to assigned priority rather than insertion order.
- How it is used
- Prioritizes asynchronous producer-consumer work when some tasks must be processed before others.
- How deep it goes
- Defines heap ordering and demonstrates tuples, dataclasses, web orders, and tie-breaking without detailing heap internals.
- Examples
- Demonstrates prioritized queries, tuple and dataclass work items, web orders, and explicit sequence numbers for ties.
- What you can do after
- Build it with asyncio.PriorityQueue, ordered work items, worker coroutines, and explicit tie-breaking fields.
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Grokking AI Algorithms, Second Edition
A priority queue is a data structure that removes or presents elements according to priority rather than insertion order.
- How it is used
- Uses priority ordering to select the next most promising node during A* search.
- How deep it goes
- Explains queue behavior, A* processing steps, heap implementation, visited checks, and cost calculation.
- Examples
- Demonstrates priority ordering through abstract trees, maze nodes, A* flow diagrams, and Python heap code.
- What you can do after
- Apply it via a heap-based priority queue to implement or trace A* search through a maze.
Read how Grokking AI Algorithms, Second Edition explains priority queue →
Related concepts
- heapimplemented by · A binary heap is an almost complete binary tree in which each parent satisfies an ordering property relative to its children, enabling efficient access to a minimum or maximum element.
- queuekind of · A queue is an ordered collection that holds items for retrieval or processing, typically removing them in the order they were added.
- Dijkstra's algorithmused by · Dijkstra's algorithm computes shortest paths from a source vertex in a weighted graph with nonnegative edge weights.
- abstract data typekind of · An abstract data type specifies values, operations, and behavior independently of a particular representation or implementation.
- data structurekind of · A data structure is an organized representation of data and its relationships that supports defined operations for storing, accessing, or modifying it.
- A-star algorithmused by · A* is an informed graph-search algorithm that prioritizes paths or states by combining the cost incurred so far with a heuristic estimate of the remaining cost to a goal.
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