我正在寻找优先级队列或堆数据结构的.NET实现

Priority queues are data structures that provide more flexibility than simple sorting, because they allow new elements to enter a system at arbitrary intervals. It is much more cost-effective to insert a new job into a priority queue than to re-sort everything on each such arrival. The basic priority queue supports three primary operations: Insert(Q,x). Given an item x with key k, insert it into the priority queue Q. Find-Minimum(Q). Return a pointer to the item whose key value is smaller than any other key in the priority queue Q. Delete-Minimum(Q). Remove the item from the priority queue Q whose key is minimum

除非我找错地方了,否则框架里没有。有谁知道好的吗,还是我自己卷?


当前回答

这是我刚刚写的一个,也许它没有那么优化(只是使用了一个排序的字典),但很容易理解。 您可以插入不同类型的对象,因此没有泛型队列。

using System;
using System.Diagnostics;
using System.Collections;
using System.Collections.Generic;

namespace PrioQueue
{
    public class PrioQueue
    {
        int total_size;
        SortedDictionary<int, Queue> storage;

        public PrioQueue ()
        {
            this.storage = new SortedDictionary<int, Queue> ();
            this.total_size = 0;
        }

        public bool IsEmpty ()
        {
            return (total_size == 0);
        }

        public object Dequeue ()
        {
            if (IsEmpty ()) {
                throw new Exception ("Please check that priorityQueue is not empty before dequeing");
            } else
                foreach (Queue q in storage.Values) {
                    // we use a sorted dictionary
                    if (q.Count > 0) {
                        total_size--;
                        return q.Dequeue ();
                    }
                }

                Debug.Assert(false,"not supposed to reach here. problem with changing total_size");

                return null; // not supposed to reach here.
        }

        // same as above, except for peek.

        public object Peek ()
        {
            if (IsEmpty ())
                throw new Exception ("Please check that priorityQueue is not empty before peeking");
            else
                foreach (Queue q in storage.Values) {
                    if (q.Count > 0)
                        return q.Peek ();
                }

                Debug.Assert(false,"not supposed to reach here. problem with changing total_size");

                return null; // not supposed to reach here.
        }

        public object Dequeue (int prio)
        {
            total_size--;
            return storage[prio].Dequeue ();
        }

        public void Enqueue (object item, int prio)
        {
            if (!storage.ContainsKey (prio)) {
                storage.Add (prio, new Queue ());
              }
            storage[prio].Enqueue (item);
            total_size++;

        }
    }
}

其他回答

下面是来自NGenerics团队的另一个实现:

NGenerics PriorityQueue

你可能会喜欢C5泛型集合库中的IntervalHeap。引用用户指南

类IntervalHeap<T>使用存储为对数组的间隔堆实现接口IPriorityQueue<T>。FindMin和 FindMax操作和索引器的get-访问器花费的时间为O(1)。DeleteMin, DeleteMax、Add和Update操作,以及索引器的集访问器,都需要时间 O(log n)。与普通优先级队列相比,间隔堆提供了两个最小优先级队列 同样效率的最大操作。

API非常简单

> var heap = new C5.IntervalHeap<int>();
> heap.Add(10);
> heap.Add(5);
> heap.FindMin();
5

从Nuget https://www.nuget.org/packages/C5或GitHub https://github.com/sestoft/C5/安装

下面的PriorityQueue实现使用了System库中的SortedSet。

using System;
using System.Collections.Generic;

namespace CDiggins
{
    interface IPriorityQueue<T, K> where K : IComparable<K>
    {
        bool Empty { get; }
        void Enqueue(T x, K key);
        void Dequeue();
        T Top { get; }
    }

    class PriorityQueue<T, K> : IPriorityQueue<T, K> where K : IComparable<K>
    {
        SortedSet<Tuple<T, K>> set;

        class Comparer : IComparer<Tuple<T, K>> {
            public int Compare(Tuple<T, K> x, Tuple<T, K> y) {
                return x.Item2.CompareTo(y.Item2);
            }
        }

        PriorityQueue() { set = new SortedSet<Tuple<T, K>>(new Comparer()); }
        public bool Empty { get { return set.Count == 0;  } }
        public void Enqueue(T x, K key) { set.Add(Tuple.Create(x, key)); }
        public void Dequeue() { set.Remove(set.Max); }
        public T Top { get { return set.Max.Item1; } }
    }
}

我最近也遇到了同样的问题,最后为此创建了一个NuGet包。

这实现了一个标准的基于堆的优先级队列。它还具有BCL集合的所有常见的优点:ICollection<T>和IReadOnlyCollection<T>实现,自定义IComparer<T>支持,指定初始容量的能力,以及使集合更容易在调试器中使用的DebuggerTypeProxy。

还有一个内联版本的包,它只安装一个.cs文件到你的项目中(如果你想避免外部可见的依赖关系,这很有用)。

更多信息请访问github页面。

我在Julian Bucknall的博客(http://www.boyet.com/Articles/PriorityQueueCSharp3.html)上找到了一个

我们稍微修改了一下,以便队列中优先级低的项目最终会随着时间的推移“上升”到顶部,这样它们就不会挨饿了。