\u5982\u679c\u60a8\u6709\u7279\u5b9a\u7684\u8d28\u6570\u54c8\u5e0c\u65cf\u5e94\u7528\u8981\u6c42（\u4f8b\u5982\u5728\u5206\u5e03\u5f0f\u6392\u5e8f\u3001\u5e76\u884c\u56fe\u7b97\u6cd5\u6216\u534a\u5bfc\u4f53\u573a\u666f\u5982\u6676\u5706\u6d4b\u8bd5\u6570\u636e\u5206\u914d\u4e2d\u7684\u5b9e\u73b0），\u6216\u5e0c\u671b\u805a\u7126\u5176\u4ed6\u6570\u636e\u7ed3\u6784\u7684\u7ed3\u5408，\u8bf7\u8fdb\u4e00\u6b65\u8bf4\u660e，\u6211\u5c06\u8c03\u6574\u5185\u5bb9\u4ee5\u66f4\u7cbe\u51c6\u5730\u6ee1\u8db3\u60a8\u7684\u9700\u6c42！<\/p>\n
\n
![](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/08\/20250814225938-689e6a5a16a35.png\")
<\/p>\n
\u00a0<\/p>\n
\u8d28\u6570\u54c8\u5e0c\u65cf\u5728\u5206\u5e03\u5f0f\u7cfb\u7edf\u4e2d\u7684\u5e94\u7528：<\/p>\n
- \n
- \u6570\u636e\u5206\u533a：\u5c06\u6570\u636e\u5747\u5300\u5206\u914d\u5230\u5206\u5e03\u5f0f\u8282\u70b9（\u5982\u5206\u5e03\u5f0f\u6392\u5e8f\u3001\u4efb\u52a1\u8c03\u5ea6）\u3002<\/li>\n
- \u8d1f\u8f7d\u5747\u8861：\u786e\u4fdd\u4efb\u52a1\u6216\u6570\u636e\u5728\u8282\u70b9\u95f4\u7684\u5747\u8861\u5206\u5e03\u3002<\/li>\n
- \u5206\u5e03\u5f0f\u54c8\u5e0c\u8868 (DHT)：\u5982 Chord\u3001Kademlia \u4e2d\u7528\u4e8e\u952e\u503c\u5b58\u50a8\u3002<\/li>\n
- \u51b2\u7a81\u7ba1\u7406：\u7ed3\u5408\u4f18\u5148\u961f\u5217（\u5982\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806）\u5904\u7406\u51b2\u7a81\u6216\u52a8\u6001\u8c03\u5ea6\u3002<\/li>\n<\/ul>\n
\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f\u4e2d\u7684\u5e94\u7528：<\/p>\n
- \n
- \u6d4b\u8bd5\u673a：\u5c06\u6676\u5706\u6d4b\u8bd5\u4efb\u52a1\u5206\u914d\u5230\u591a\u673a\u53f0，\u57fa\u4e8e\u8d28\u6570\u54c8\u5e0c\u65cf\u5b9e\u73b0\u5747\u5300\u5206\u533a\u3002<\/li>\n
- \u8d34\u7247\u673a (SMT)：\u5206\u914d\u8d34\u7247\u4efb\u52a1\u5230\u5206\u5e03\u5f0f\u5de5\u4f5c\u7ad9，\u4f18\u5316\u8d1f\u8f7d\u5747\u8861\u3002<\/li>\n
- \u6676\u5706\u5207\u5272\u673a：\u5c06\u5207\u5272\u8def\u5f84\u70b9\u5206\u914d\u5230\u5206\u5e03\u5f0f\u8ba1\u7b97\u8282\u70b9，\u7ed3\u5408\u4f18\u5148\u961f\u5217\u4f18\u5316\u8c03\u5ea6\u3002<\/li>\n
- \u5206\u5e03\u5f0f\u6392\u5e8f：\u7ed3\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806，\u5206\u914d\u548c\u5408\u5e76\u6392\u5e8f\u4efb\u52a1\u3002<\/li>\n<\/ul>\n
\u65f6\u95f4\u590d\u6742\u5ea6\u5206\u6790：<\/p>\n
- \n
- \u54c8\u5e0c\u8ba1\u7b97：O(1)（\u6a21\u8fd0\u7b97）\u3002<\/li>\n
- \u5206\u533a\u5206\u914d：O(n)（n \u4e3a\u6570\u636e\u91cf）\u3002<\/li>\n
- \u7ed3\u5408\u4f18\u5148\u961f\u5217（\u5982\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806）：O(log n) \u63d2\u5165\/\u5408\u5e76\u3002<\/li>\n<\/ul>\n
\n\u4e8c\u3001\u8d28\u6570\u54c8\u5e0c\u65cf\u5b9e\u73b0\u4ee5\u4e0b\u662f\u57fa\u4e8e\u8d28\u6570\u54c8\u5e0c\u65cf\u7684\u5b9e\u73b0，\u7528\u4e8e\u5206\u5e03\u5f0f\u4efb\u52a1\u5206\u914d，\u7ed3\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806（\u952e\u503c\u4f18\u5148\u961f\u5217）\u7ba1\u7406\u4efb\u52a1\u4f18\u5148\u7ea7\u3002\u4ee3\u7801\u57fa\u4e8e C#，\u4f7f\u7528\u7ebf\u7a0b\u6a21\u62df\u5206\u5e03\u5f0f\u8282\u70b9，\u5b9e\u9645\u73af\u5883\u4e2d\u53ef\u66ff\u6362\u4e3a\u7f51\u7edc\u901a\u4fe1（\u5982 gRPC）\u3002\u8d28\u6570\u54c8\u5e0c\u65cf\u5b9e\u73b0csharp<\/p>\n
\u00a0<\/p>\n
using System;<\/p>\n
public class PrimeHashFamily
\n{
\n private readonly int p; \/\/ \u5927\u8d28\u6570
\n private readonly int m; \/\/ \u6876\u6570（\u8282\u70b9\u6570）
\n private readonly Random rand;
\n private readonly int a;
\n private readonly int b;<\/p>\npublic PrimeHashFamily(int m, int p = 1000003)
\n {
\n this.m = m;
\n this.p = p; \/\/ \u9009\u62e9\u4e00\u4e2a\u5927\u8d28\u6570
\n rand = new Random();
\n a = rand.Next(1, p); \/\/ 0 < a < p
\n b = rand.Next(0, p); \/\/ 0 <= b < p
\n }<\/p>\npublic int Hash(int key)
\n {
\n return ((a * key + b) % p) % m;
\n }
\n}<\/p>\n\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806（\u952e\u503c\u4f18\u5148\u961f\u5217）\u5b9e\u73b0（\u53c2\u8003\u4e4b\u524d\u7684 BinomialMinPriorityQueue<TKey, TValue>，\u6b64\u5904\u7b80\u5316\u4e3a\u4efb\u52a1\u8c03\u5ea6\u7248\u672c）csharp<\/p>\n
\u00a0<\/p>\n
using System;
\nusing System.Collections.Generic;<\/p>\npublic class BinomialMinPriorityQueue<TKey, TValue> where TValue : IComparable<TValue>
\n{
\n private class Node
\n {
\n public TKey Key { get; set; }
\n public TValue Value { get; set; }
\n public int Degree { get; set; }
\n public Node Parent { get; set; }
\n public Node Child { get; set; }
\n public Node Sibling { get; set; }<\/p>\npublic Node(TKey key, TValue value)
\n {
\n Key = key;
\n Value = value;
\n Degree = 0;
\n Parent = Child = Sibling = null;
\n }
\n }<\/p>\nprivate Node head;
\n private int size;
\n private readonly Dictionary<TKey, Node> keyToNode;
\n private readonly object lockObject = new object();<\/p>\npublic BinomialMinPriorityQueue()
\n {
\n head = null;
\n size = 0;
\n keyToNode = new Dictionary<TKey, Node>();
\n }<\/p>\npublic int Count => size;
\n public bool IsEmpty => head == null;<\/p>\npublic void Insert(TKey key, TValue value)
\n {
\n lock (lockObject)
\n {
\n if (keyToNode.ContainsKey(key))
\n throw new ArgumentException("Key already exists");
\n var newHeap = new BinomialMinPriorityQueue<TKey, TValue>();
\n newHeap.head = new Node(key, value);
\n newHeap.size = 1;
\n newHeap.keyToNode[key] = newHeap.head;
\n Merge(newHeap);
\n keyToNode[key] = newHeap.head;
\n }
\n }<\/p>\npublic (TKey, TValue) ExtractMin()
\n {
\n lock (lockObject)
\n {
\n if (IsEmpty)
\n throw new InvalidOperationException("Queue is empty");<\/p>\nNode minNode = head, prevMin = null;
\n Node current = head.Sibling, prev = head;
\n while (current != null)
\n {
\n if (current.Value.CompareTo(minNode.Value) < 0)
\n {
\n minNode = current;
\n prevMin = prev;
\n }
\n prev = current;
\n current = current.Sibling;
\n }<\/p>\nif (prevMin == null)
\n head = minNode.Sibling;
\n else
\n prevMin.Sibling = minNode.Sibling;<\/p>\nvar newHeap = new BinomialMinPriorityQueue<TKey, TValue>();
\n newHeap.head = minNode.Child;
\n newHeap.size = (1 << minNode.Degree) – 1;
\n Node child = newHeap.head;
\n while (child != null)
\n {
\n child.Parent = null;
\n newHeap.keyToNode[child.Key] = child;
\n child = child.Sibling;
\n }<\/p>\nsize -= (1 << minNode.Degree);
\n Merge(newHeap);
\n keyToNode.Remove(minNode.Key);
\n return (minNode.Key, minNode.Value);
\n }
\n }<\/p>\npublic void Merge(BinomialMinPriorityQueue<TKey, TValue> other)
\n {
\n lock (lockObject)
\n {
\n if (other.IsEmpty)
\n return;
\n if (IsEmpty)
\n {
\n head = other.head;
\n size = other.size;
\n foreach (var kvp in other.keyToNode)
\n keyToNode[kvp.Key] = kvp.Value;
\n return;
\n }<\/p>\nNode result = MergeRootLists(head, other.head);
\n size += other.size;
\n foreach (var kvp in other.keyToNode)
\n keyToNode[kvp.Key] = kvp.Value;<\/p>\nNode prev = null, current = result, next = current?.Sibling;
\n while (next != null)
\n {
\n if (current.Degree != next.Degree || (next.Sibling != null && next.Sibling.Degree == current.Degree))
\n {
\n prev = current;
\n current = next;
\n }
\n else if (current.Value.CompareTo(next.Value) <= 0)
\n {
\n current.Sibling = next.Sibling;
\n Link(next, current);
\n }
\n else
\n {
\n if (prev == null)
\n result = next;
\n else
\n prev.Sibling = next;
\n Link(current, next);
\n current = next;
\n }
\n next = current.Sibling;
\n }
\n head = result;
\n }
\n }<\/p>\nprivate Node MergeRootLists(Node h1, Node h2)
\n {
\n if (h1 == null) return h2;
\n if (h2 == null) return h1;<\/p>\nNode result, current;
\n if (h1.Degree <= h2.Degree)
\n {
\n result = h1;
\n h1 = h1.Sibling;
\n }
\n else
\n {
\n result = h2;
\n h2 = h2.Sibling;
\n }<\/p>\ncurrent = result;
\n while (h1 != null && h2 != null)
\n {
\n if (h1.Degree <= h2.Degree)
\n {
\n current.Sibling = h1;
\n h1 = h1.Sibling;
\n }
\n else
\n {
\n current.Sibling = h2;
\n h2 = h2.Sibling;
\n }
\n current = current.Sibling;
\n }<\/p>\nif (h1 != null)
\n current.Sibling = h1;
\n else
\n current.Sibling = h2;<\/p>\nreturn result;
\n }<\/p>\nprivate void Link(Node child, Node parent)
\n {
\n child.Parent = parent;
\n child.Sibling = parent.Child;
\n parent.Child = child;
\n parent.Degree++;
\n }
\n}<\/p>\n\u5206\u5e03\u5f0f\u4efb\u52a1\u5206\u914d\u5b9e\u73b0（\u7ed3\u5408\u8d28\u6570\u54c8\u5e0c\u65cf\u548c\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806）csharp<\/p>\n
\u00a0<\/p>\n
using System;
\nusing System.Collections.Generic;
\nusing System.Threading.Tasks;<\/p>\npublic class WaferTestTask
\n{
\n public int WaferId { get; set; }
\n public int Priority { get; set; } \/\/ \u6570\u503c\u8d8a\u5c0f\u4f18\u5148\u7ea7\u8d8a\u9ad8
\n public DateTime SubmissionTime { get; set; }
\n public string TestType { get; set; }
\n public int NodeId { get; set; }<\/p>\npublic WaferTestTask(int waferId, int priority, DateTime submissionTime, string testType, int nodeId)
\n {
\n WaferId = waferId;
\n Priority = priority;
\n SubmissionTime = submissionTime;
\n TestType = testType;
\n NodeId = nodeId;
\n }
\n}<\/p>\npublic class DistributedTaskScheduler
\n{
\n private readonly int nodeCount;
\n private readonly PrimeHashFamily hashFamily;
\n private readonly List<BinomialMinPriorityQueue<int, int>> localQueues;
\n private readonly BinomialMinPriorityQueue<int, int> globalQueue;
\n private readonly object lockObject = new object();<\/p>\npublic DistributedTaskScheduler(int nodeCount)
\n {
\n this.nodeCount = nodeCount;
\n hashFamily = new PrimeHashFamily(nodeCount);
\n localQueues = new List<BinomialMinPriorityQueue<int, int>>(nodeCount);
\n for (int i = 0; i < nodeCount; i++)
\n localQueues.Add(new BinomialMinPriorityQueue<int, int>());
\n globalQueue = new BinomialMinPriorityQueue<int, int>();
\n }<\/p>\npublic void ScheduleTask(WaferTestTask task)
\n {
\n int nodeId = hashFamily.Hash(task.WaferId);
\n lock (lockObject)
\n {
\n localQueues[nodeId].Insert(task.WaferId, task.Priority);
\n }
\n }<\/p>\npublic async Task<List<(int WaferId, int Priority)>> ProcessTasksAsync(List<WaferTestTask> tasks)
\n {
\n \/\/ 1. \u5206\u533a\u4efb\u52a1
\n var partitionTasks = new List<Task>();
\n foreach (var task in tasks)
\n {
\n partitionTasks.Add(Task.Run(() => ScheduleTask(task)));
\n }
\n await Task.WhenAll(partitionTasks);<\/p>\n\/\/ 2. \u5408\u5e76\u5c40\u90e8\u961f\u5217
\n lock (lockObject)
\n {
\n foreach (var queue in localQueues)
\n {
\n globalQueue.Merge(queue);
\n }
\n }<\/p>\n\/\/ 3. \u63d0\u53d6\u5168\u5c40\u4f18\u5148\u7ea7\u4efb\u52a1
\n var result = new List<(int WaferId, int Priority)>();
\n while (!globalQueue.IsEmpty)
\n {
\n var task = globalQueue.ExtractMin();
\n result.Add((task.Item1, task.Item2));
\n }<\/p>\nreturn result;
\n }
\n}<\/p>\n\u4ee3\u7801\u8bf4\u660e<\/p>\n
- \n
- PrimeHashFamily：\n
- \n
- \u4f7f\u7528\u8d28\u6570\n
p=1000003p = 1000003p = 1000003<\/p>\n
，\u968f\u673a\u9009\u62e9 ( a, b )，\u5b9e\u73b0\u901a\u7528\u54c8\u5e0c\u51fd\u6570\u3002<\/li>\n
- O(1) \u8ba1\u7b97\u54c8\u5e0c\u503c，\u5c06\u4efb\u52a1\u5206\u914d\u5230\u8282\u70b9\u3002<\/li>\n<\/ul>\n<\/li>\n
- BinomialMinPriorityQueue：\n
- \n
- \u7ebf\u7a0b\u5b89\u5168\u7684\u952e\u503c\u4f18\u5148\u961f\u5217，\u652f\u6301 O(log n) \u7684 Insert\u3001Extract-Min \u548c Merge\u3002<\/li>\n
- \u7ef4\u62a4\u952e（WaferId）\u5230\u8282\u70b9\u7684\u6620\u5c04，\u652f\u6301\u52a8\u6001\u4efb\u52a1\u8c03\u5ea6\u3002<\/li>\n<\/ul>\n<\/li>\n
- DistributedTaskScheduler：\n
- \n
- \u6570\u636e\u5206\u533a：\u4f7f\u7528\u8d28\u6570\u54c8\u5e0c\u65cf\u5c06\u4efb\u52a1\u5206\u914d\u5230\u8282\u70b9\u3002<\/li>\n
- \u672c\u5730\u8c03\u5ea6：\u6bcf\u4e2a\u8282\u70b9\u4f7f\u7528\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u7ba1\u7406\u4efb\u52a1\u4f18\u5148\u7ea7\u3002<\/li>\n
- \u5408\u5e76：\u4e3b\u7ebf\u7a0b\u5408\u5e76\u5c40\u90e8\u961f\u5217，O(log n) \u6bcf\u6b21\u5408\u5e76\u3002<\/li>\n
- \u7ed3\u679c\u63d0\u53d6：\u4ece\u5168\u5c40\u961f\u5217\u63d0\u53d6\u4f18\u5148\u7ea7\u6700\u9ad8\u7684\u4efb\u52a1\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u5e76\u53d1\u4f18\u5316：\n
- \n
- \u5c40\u90e8\u961f\u5217\u51cf\u5c11\u9501\u7ade\u4e89，\u5408\u5e76\u64cd\u4f5c\u96c6\u4e2d\u5904\u7406\u3002<\/li>\n
- \u53ef\u6269\u5c55\u5230\u5206\u5e03\u5f0f\u7cfb\u7edf（\u66ff\u6362\u7ebf\u7a0b\u4e3a\u7f51\u7edc\u8282\u70b9，\u4f7f\u7528 gRPC \u7b49\u901a\u4fe1）\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
\n\u4e09\u3001\u6d4b\u8bd5\u7528\u4f8b\u4ee5\u4e0b\u662f\u4f7f\u7528 MSTest \u6846\u67b6\u7684\u5355\u5143\u6d4b\u8bd5\u4ee3\u7801，\u9a8c\u8bc1\u8d28\u6570\u54c8\u5e0c\u65cf\u7ed3\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u5728\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u4e2d\u7684\u6b63\u786e\u6027，\u6a21\u62df\u534a\u5bfc\u4f53\u6d4b\u8bd5\u673a\u4efb\u52a1\u5206\u914d\u3002csharp<\/p>\n
\u00a0<\/p>\n
using Microsoft.VisualStudio.TestTools.UnitTesting;
\nusing System;
\nusing System.Collections.Generic;
\nusing System.Linq;
\nusing System.Threading.Tasks;<\/p>\n[TestClass]
\npublic class DistributedTaskSchedulerTests
\n{
\n [TestMethod]
\n public async Task DistributedTaskScheduler_ValidTasks_ReturnsPriorityOrder()
\n {
\n \/\/ Arrange
\n var scheduler = new DistributedTaskScheduler(2);
\n var time = new DateTime(2025, 8, 7, 8, 35, 0);
\n var tasks = new List<WaferTestTask>
\n {
\n new WaferTestTask(1001, 2, time, "VoltageTest", 0),
\n new WaferTestTask(1002, 1, time, "DefectTest", 0),
\n new WaferTestTask(1003, 3, time, "CurrentTest", 1),
\n new WaferTestTask(1004, 0, time, "ThermalTest", 1)
\n };
\n var expected = new List<(int WaferId, int Priority)>
\n {
\n (1004, 0), (1002, 1), (1001, 2), (1003, 3)
\n };<\/p>\n\/\/ Act
\n var result = await scheduler.ProcessTasksAsync(tasks);<\/p>\n\/\/ Assert
\n CollectionAssert.AreEqual(expected.Select(t => t.WaferId).ToList(), result.Select(t => t.WaferId).ToList());
\n CollectionAssert.AreEqual(expected.Select(t => t.Priority).ToList(), result.Select(t => t.Priority).ToList());
\n }<\/p>\n[TestMethod]
\n public async Task DistributedTaskScheduler_EmptyTasks_ReturnsEmpty()
\n {
\n \/\/ Arrange
\n var scheduler = new DistributedTaskScheduler(2);
\n var tasks = new List<WaferTestTask>();<\/p>\n\/\/ Act
\n var result = await scheduler.ProcessTasksAsync(tasks);<\/p>\n\/\/ Assert
\n Assert.AreEqual(0, result.Count);
\n }
\n}<\/p>\n\u6d4b\u8bd5\u8bf4\u660e<\/p>\n
- \n
- \u6d4b\u8bd5\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6，\u786e\u4fdd\u4efb\u52a1\u6309\u4f18\u5148\u7ea7\u987a\u5e8f\u8fd4\u56de\u3002<\/li>\n
- \u6d4b\u8bd5\u7a7a\u4efb\u52a1\u573a\u666f，\u786e\u4fdd\u7b97\u6cd5\u9c81\u68d2\u6027\u3002<\/li>\n
- \u9a8c\u8bc1\u8d28\u6570\u54c8\u5e0c\u65cf\u5747\u5300\u5206\u914d\u4efb\u52a1，\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u6b63\u786e\u5408\u5e76\u548c\u6392\u5e8f\u3002<\/li>\n<\/ul>\n
\n\u56db\u3001\u8d28\u6570\u54c8\u5e0c\u65cf\u4e0e\u5176\u4ed6\u6570\u636e\u7ed3\u6784\/\u7b97\u6cd5\u7684\u5bf9\u6bd41. \u5bf9\u6bd4\u7ef4\u5ea6<\/p>\n
- \n
- \u64cd\u4f5c\u65f6\u95f4\u590d\u6742\u5ea6：\u54c8\u5e0c\u8ba1\u7b97\u3001\u5206\u533a\u5206\u914d\u3001\u4f18\u5148\u7ea7\u7ba1\u7406\u3001\u5408\u5e76\u3002<\/li>\n
- \u5206\u5e03\u5f0f\u6548\u7387：\u591a\u8282\u70b9\u64cd\u4f5c\u7684\u6027\u80fd\u3002<\/li>\n
- \u7a7a\u95f4\u6548\u7387：\u5185\u5b58\u5206\u914d\u548c\u5229\u7528\u7387\u3002<\/li>\n
- \u5b9e\u73b0\u590d\u6742\u5ea6：\u5206\u5e03\u5f0f\u5b9e\u73b0\u7684\u96be\u6613\u7a0b\u5ea6\u3002<\/li>\n
- \u9002\u7528\u573a\u666f：\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3001\u6570\u636e\u5206\u533a\u3001\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f\u3002<\/li>\n<\/ul>\n
2. \u5bf9\u6bd4\u8868\u683c<\/p>\n
\n\n
\n \u6570\u636e\u7ed3\u6784\/\u7b97\u6cd5<\/p>\n
\u54c8\u5e0c\u8ba1\u7b97<\/p>\n
\u5206\u533a\u5206\u914d<\/p>\n
\u4f18\u5148\u7ea7\u7ba1\u7406<\/p>\n
\u5408\u5e76<\/p>\n
\u5206\u5e03\u5f0f\u6548\u7387<\/p>\n
\u7a7a\u95f4\u6548\u7387<\/p>\n
\u5b9e\u73b0\u590d\u6742\u5ea6<\/p>\n
\u9002\u7528\u573a\u666f<\/p>\n<\/tr>\n
\n \n \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806<\/p>\n<\/td>\n
\n O(1)<\/p>\n<\/td>\n
\n O(n)<\/p>\n<\/td>\n
\n O(log n)<\/p>\n<\/td>\n
\n O(k log n)<\/p>\n<\/td>\n
\n \u9ad8（\u5747\u5300\u5206\u533a+\u9ad8\u6548\u5408\u5e76）<\/p>\n<\/td>\n
\n \u4e2d（\u591a\u6307\u9488+\u6620\u5c04）<\/p>\n<\/td>\n
\n \u9ad8<\/p>\n<\/td>\n
\n \u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3001\u6392\u5e8f<\/p>\n<\/td>\n<\/tr>\n
\n \n \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u53c9\u6700\u5c0f\u5806<\/p>\n<\/td>\n
\n O(1)<\/p>\n<\/td>\n
\n O(n)<\/p>\n<\/td>\n
\n O(log n)<\/p>\n<\/td>\n
\n O(k n)<\/p>\n<\/td>\n
\n \u4e2d（\u5408\u5e76\u5f00\u9500\u5927）<\/p>\n<\/td>\n
\n \u4e2d（\u5806\u7ed3\u6784+\u6620\u5c04）<\/p>\n<\/td>\n
\n \u9ad8<\/p>\n<\/td>\n
\n \u5355\u673a\u4efb\u52a1\u8c03\u5ea6<\/p>\n<\/td>\n<\/tr>\n
\n \n \u8d28\u6570\u54c8\u5e0c\u65cf+\u6590\u6ce2\u90a3\u5951\u5806<\/p>\n<\/td>\n
\n O(1)<\/p>\n<\/td>\n
\n O(n)<\/p>\n<\/td>\n
\n O(1)*<\/p>\n<\/td>\n
\n O(k)<\/p>\n<\/td>\n
\n \u9ad8（\u60f0\u6027\u5408\u5e76）<\/p>\n<\/td>\n
\n \u4e2d（\u591a\u6307\u9488+\u6620\u5c04）<\/p>\n<\/td>\n
\n \u9ad8<\/p>\n<\/td>\n
\n \u5206\u5e03\u5f0f\u52a8\u6001\u8c03\u5ea6<\/p>\n<\/td>\n<\/tr>\n
\n \n \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u53c9\u6700\u5927\u5806<\/p>\n<\/td>\n
\n O(1)<\/p>\n<\/td>\n
\n O(n)<\/p>\n<\/td>\n
\n O(log n)<\/p>\n<\/td>\n
\n O(k n)<\/p>\n<\/td>\n
\n \u4e2d（\u5408\u5e76\u5f00\u9500\u5927）<\/p>\n<\/td>\n
\n \u4e2d（\u5806\u7ed3\u6784+\u6620\u5c04）<\/p>\n<\/td>\n
\n \u9ad8<\/p>\n<\/td>\n
\n \u5355\u673a\u4efb\u52a1\u8c03\u5ea6<\/p>\n<\/td>\n<\/tr>\n
\n \n \u5faa\u73af\u961f\u5217<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n O(1)*<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n \u9ad8（\u65e0\u4f18\u5148\u7ea7）<\/p>\n<\/td>\n
\n \u9ad8（\u5faa\u73af\u590d\u7528）<\/p>\n<\/td>\n
\n \u4e2d\u7b49<\/p>\n<\/td>\n
\n \u5206\u5e03\u5f0f FIFO \u4efb\u52a1<\/p>\n<\/td>\n<\/tr>\n
\n \n \u5faa\u73af\u7f13\u51b2\u533a<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n O(1)<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n \u9ad8（\u56fa\u5b9a\u5bb9\u91cf）<\/p>\n<\/td>\n
\n \u9ad8（\u56fa\u5b9a\u5bb9\u91cf）<\/p>\n<\/td>\n
\n \u4e2d\u7b49<\/p>\n<\/td>\n
\n \u5206\u5e03\u5f0f\u6570\u636e\u6d41\u7f13\u51b2<\/p>\n<\/td>\n<\/tr>\n
\n \n \u5355\u94fe\u8868<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n O(1)\/O(n)<\/p>\n<\/td>\n
\n O(k)<\/p>\n<\/td>\n
\n \u4f4e（\u9501\u590d\u6742）<\/p>\n<\/td>\n
\n \u4e2d（\u52a8\u6001\u5206\u914d）<\/p>\n<\/td>\n
\n \u4f4e<\/p>\n<\/td>\n
\n \u52a8\u6001\u5217\u8868<\/p>\n<\/td>\n<\/tr>\n
\n \n \u53cc\u94fe\u8868<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n O(1)\/O(1)<\/p>\n<\/td>\n
\n O(k)<\/p>\n<\/td>\n
\n \u4f4e（\u9501\u590d\u6742）<\/p>\n<\/td>\n
\n \u4e2d（\u52a8\u6001\u5206\u914d）<\/p>\n<\/td>\n
\n \u4e2d\u7b49<\/p>\n<\/td>\n
\n \u53cc\u5411\u904d\u5386<\/p>\n<\/td>\n<\/tr>\n
\n \n \u6570\u7ec4\u5217\u8868<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n O(1)*<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n \u4e2d（\u968f\u673a\u8bbf\u95ee）<\/p>\n<\/td>\n
\n \u9ad8（\u8fde\u7eed\u5185\u5b58）<\/p>\n<\/td>\n
\n \u4f4e<\/p>\n<\/td>\n
\n \u5206\u5e03\u5f0f\u968f\u673a\u8bbf\u95ee<\/p>\n<\/td>\n<\/tr>\n
\n \n \u6808<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n O(1)*<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n \u9ad8（LIFO）<\/p>\n<\/td>\n
\n \u9ad8（\u8fde\u7eed\u5185\u5b58）<\/p>\n<\/td>\n
\n \u4f4e<\/p>\n<\/td>\n
\n \u5206\u5e03\u5f0f\u64a4\u9500\u64cd\u4f5c<\/p>\n<\/td>\n<\/tr>\n
\n \n \u5806\u6392\u5e8f<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n \u4f4e（\u5355\u7ebf\u7a0b）<\/p>\n<\/td>\n
\n \u9ad8（\u539f\u5730）<\/p>\n<\/td>\n
\n \u4e2d\u7b49<\/p>\n<\/td>\n
\n \u9759\u6001\u6392\u5e8f<\/p>\n<\/td>\n<\/tr>\n
\n \n \u5feb\u901f\u6392\u5e8f<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n –<\/p>\n<\/td>\n
\n O(k n)<\/p>\n<\/td>\n
\n \u4e2d（\u5206\u533a\u5e76\u884c）<\/p>\n<\/td>\n
\n \u4e2d（O(log n_k) \u6808）<\/p>\n<\/td>\n
\n \u4e2d\u7b49<\/p>\n<\/td>\n
\n \u5206\u5e03\u5f0f\u6392\u5e8f<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\u6ce8：O(1) \u8868\u793a\u644a\u9500 O(1)，O(log n)* \u8868\u793a\u644a\u9500 O(log n)，n \u4e3a\u603b\u6570\u636e\u91cf，k \u4e3a\u8282\u70b9\u6570，n_k \u4e3a\u8282\u70b9\u672c\u5730\u6570\u636e\u91cf\u30023. \u8be6\u7ec6\u5bf9\u6bd4\u5206\u6790(1) \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u8d28\u6570\u54c8\u5e0c\u65cf+\u6590\u6ce2\u90a3\u5951\u5806<\/p>\n
- \n
- \u5206\u5e03\u5f0f\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：O(k log n) \u5408\u5e76，\u5747\u5300\u5206\u533a\u51cf\u5c11\u901a\u4fe1\u5f00\u9500\u3002<\/li>\n
- \u6590\u6ce2\u90a3\u5951\u5806：O(k) \u5408\u5e76，\u60f0\u6027\u64cd\u4f5c\u66f4\u9ad8\u6548\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u64cd\u4f5c\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：Insert\/Extract-Min O(log n)，Merge O(log n).<\/li>\n
- \u6590\u6ce2\u90a3\u5951\u5806：Insert O(1)，Merge O(1)，Extract-Min O(log n)*.<\/li>\n<\/ul>\n<\/li>\n
- \u9002\u7528\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6，\u6392\u5e8f\u5408\u5e76\u3002<\/li>\n
- \u6590\u6ce2\u90a3\u5951\u5806：\u52a8\u6001\u4f18\u5148\u7ea7\u8c03\u5ea6，\u9891\u7e41\u952e\u503c\u8c03\u6574\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u534a\u5bfc\u4f53\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u6d4b\u8bd5\u673a\u4efb\u52a1\u5206\u914d\u3002<\/li>\n
- \u6590\u6ce2\u90a3\u5951\u5806：\u52a8\u6001\u4efb\u52a1\u4f18\u5148\u7ea7\u8c03\u6574\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
(2) \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u53c9\u6700\u5c0f\u5806<\/p>\n
- \n
- \u5206\u5e03\u5f0f\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：O(k log n) \u5408\u5e76，\u9002\u5408\u5206\u5e03\u5f0f\u5408\u5e76\u3002<\/li>\n
- \u4e8c\u53c9\u6700\u5c0f\u5806：O(k n) \u5408\u5e76，\u901a\u4fe1\u5f00\u9500\u5927\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u64cd\u4f5c\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：Extract-Min O(log n)，Merge O(log n).<\/li>\n
- \u4e8c\u53c9\u6700\u5c0f\u5806：Extract-Min O(log n)，Merge O(n).<\/li>\n<\/ul>\n<\/li>\n
- \u9002\u7528\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3002<\/li>\n
- \u4e8c\u53c9\u6700\u5c0f\u5806：\u5355\u673a\u4efb\u52a1\u8c03\u5ea6\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u534a\u5bfc\u4f53\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u6d4b\u8bd5\u673a\u591a\u8282\u70b9\u4efb\u52a1\u5206\u914d\u3002<\/li>\n
- \u4e8c\u53c9\u6700\u5c0f\u5806：\u5355\u673a\u4efb\u52a1\u8c03\u5ea6\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
(3) \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u5faa\u73af\u961f\u5217\/\u5faa\u73af\u7f13\u51b2\u533a<\/p>\n
- \n
- \u5206\u5e03\u5f0f\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：O(k log n) \u5408\u5e76，\u9002\u5408\u4f18\u5148\u7ea7\u8c03\u5ea6\u3002<\/li>\n
- \u5faa\u73af\u961f\u5217\/\u7f13\u51b2\u533a：O(1) \u64cd\u4f5c，\u9002\u5408 FIFO\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u64cd\u4f5c\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：O(log n) \u64cd\u4f5c\u3002<\/li>\n
- \u5faa\u73af\u961f\u5217\/\u7f13\u51b2\u533a：O(1) \u64cd\u4f5c，\u65e0\u4f18\u5148\u7ea7\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u9002\u7528\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3002<\/li>\n
- \u5faa\u73af\u961f\u5217\/\u7f13\u51b2\u533a：\u5206\u5e03\u5f0f FIFO \u4efb\u52a1\/\u6570\u636e\u6d41\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u534a\u5bfc\u4f53\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u6d4b\u8bd5\u673a\u4f18\u5148\u7ea7\u8c03\u5ea6\u3002<\/li>\n
- \u5faa\u73af\u961f\u5217\/\u7f13\u51b2\u533a：\u6d4b\u8bd5\u673a\u4efb\u52a1\u7f13\u51b2\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
(4) \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u5355\u94fe\u8868\/\u53cc\u94fe\u8868<\/p>\n
- \n
- \u5206\u5e03\u5f0f\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u5c40\u90e8\u5806\u5408\u5e76\u9ad8\u6548\u3002<\/li>\n
- \u5355\/\u53cc\u94fe\u8868：\u8282\u70b9\u64cd\u4f5c\u9700\u5206\u5e03\u5f0f\u9501，\u901a\u4fe1\u5f00\u9500\u5927\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u64cd\u4f5c\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：O(log n) \u64cd\u4f5c\u3002<\/li>\n
- \u5355\/\u53cc\u94fe\u8868：O(1) \u63d2\u5165\/\u5220\u9664，\u65e0\u4f18\u5148\u7ea7\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u9002\u7528\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3002<\/li>\n
- \u5355\/\u53cc\u94fe\u8868：\u52a8\u6001\u5217\u8868，\u53cc\u5411\u904d\u5386\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u534a\u5bfc\u4f53\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u6d4b\u8bd5\u673a\u4efb\u52a1\u5206\u914d\u3002<\/li>\n
- \u5355\/\u53cc\u94fe\u8868：\u6d4b\u8bd5\u7ed3\u679c\u5e8f\u5217\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
(5) \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u6570\u7ec4\u5217\u8868<\/p>\n
- \n
- \u5206\u5e03\u5f0f\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u5c40\u90e8\u5806\u5408\u5e76\u9ad8\u6548\u3002<\/li>\n
- \u6570\u7ec4\u5217\u8868：\u968f\u673a\u8bbf\u95ee\u9ad8\u6548，\u65e0\u4f18\u5148\u7ea7\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u64cd\u4f5c\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：O(log n) \u64cd\u4f5c\u3002<\/li>\n
- \u6570\u7ec4\u5217\u8868：O(1) \u968f\u673a\u8bbf\u95ee，O(n_k log n_k) \u6392\u5e8f\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u9002\u7528\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3002<\/li>\n
- \u6570\u7ec4\u5217\u8868：\u5206\u5e03\u5f0f\u968f\u673a\u8bbf\u95ee，\u6392\u5e8f\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u534a\u5bfc\u4f53\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u6d4b\u8bd5\u673a\u4efb\u52a1\u5206\u914d\u3002<\/li>\n
- \u6570\u7ec4\u5217\u8868：\u6d4b\u8bd5\u7ed3\u679c\u5e8f\u5217\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
(6) \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u6808<\/p>\n
- \n
- \u5206\u5e03\u5f0f\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u5c40\u90e8\u5806\u5408\u5e76\u9ad8\u6548\u3002<\/li>\n
- \u6808：O(1) \u64cd\u4f5c，\u9002\u5408 LIFO\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u64cd\u4f5c\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：O(log n) \u64cd\u4f5c\u3002<\/li>\n
- \u6808：O(1)* Push\/Pop，\u65e0\u4f18\u5148\u7ea7\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u9002\u7528\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3002<\/li>\n
- \u6808：\u5206\u5e03\u5f0f\u64a4\u9500\u64cd\u4f5c\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u534a\u5bfc\u4f53\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u6d4b\u8bd5\u673a\u4efb\u52a1\u5206\u914d\u3002<\/li>\n
- \u6808：\u6d4b\u8bd5\u673a\u64cd\u4f5c\u5386\u53f2\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
(7) \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u5806\u6392\u5e8f\/\u5feb\u901f\u6392\u5e8f<\/p>\n
- \n
- \u5206\u5e03\u5f0f\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：O(k log n) \u5408\u5e76，\u9002\u5408\u5206\u5e03\u5f0f\u8c03\u5ea6\u3002<\/li>\n
- \u5806\u6392\u5e8f：\u5355\u7ebf\u7a0b，O(n log n)，\u5206\u5e03\u5f0f\u9700\u5206\u533a\u3002<\/li>\n
- \u5feb\u901f\u6392\u5e8f：\u53ef\u5206\u5e03\u5f0f\u5206\u533a，O(n log n)*，\u5408\u5e76 O(k n).<\/li>\n<\/ul>\n<\/li>\n
- \u64cd\u4f5c\u6548\u7387：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：O(log n) \u64cd\u4f5c，\u52a8\u6001\u8c03\u5ea6\u3002<\/li>\n
- \u5806\u6392\u5e8f\/\u5feb\u901f\u6392\u5e8f：O(n_k log n_k) \u6392\u5e8f，\u9759\u6001\u4efb\u52a1\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u9002\u7528\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6，\u6392\u5e8f\u5408\u5e76\u3002<\/li>\n
- \u5806\u6392\u5e8f：\u5185\u5b58\u53d7\u9650\u6392\u5e8f\u3002<\/li>\n
- \u5feb\u901f\u6392\u5e8f：\u6027\u80fd\u4f18\u5148\u6392\u5e8f\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u534a\u5bfc\u4f53\u573a\u666f：\n
- \n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u6d4b\u8bd5\u673a\u4efb\u52a1\u5206\u914d\u3002<\/li>\n
- \u5806\u6392\u5e8f\/\u5feb\u901f\u6392\u5e8f：\u6d4b\u8bd5\u7ed3\u679c\u6392\u5e8f\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
\n\u4e94\u3001\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f\u793a\u4f8b1. \u573a\u666f\u63cf\u8ff0\u5728\u534a\u5bfc\u4f53\u4ea7\u7ebf\u4e2d，\u8d28\u6570\u54c8\u5e0c\u65cf\u7528\u4e8e\u4efb\u52a1\u6216\u6570\u636e\u7684\u5206\u5e03\u5f0f\u5206\u914d，\u7ed3\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u5b9e\u73b0\u4f18\u5148\u7ea7\u8c03\u5ea6，\u800c\u5176\u4ed6\u6570\u636e\u7ed3\u6784（\u5982\u5faa\u73af\u7f13\u51b2\u533a）\u9002\u5408 FIFO \u4efb\u52a1\u7f13\u51b2\u3002\u4ee5\u4e0b\u4ee5\u6d4b\u8bd5\u673a\u573a\u666f\u4e3a\u4f8b\u3002<\/p>\n
- \n
- \u6d4b\u8bd5\u673a\u573a\u666f：\u591a\u673a\u53f0\u5e76\u884c\u5904\u7406\u6676\u5706\u6d4b\u8bd5\u4efb\u52a1，\u901a\u8fc7\u8d28\u6570\u54c8\u5e0c\u65cf\u5747\u5300\u5206\u914d\u4efb\u52a1，\u7ed3\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u6309\u4f18\u5148\u7ea7\u8c03\u5ea6\u3002<\/li>\n<\/ul>\n
2. \u6d4b\u8bd5\u673a\u793a\u4f8b：\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u9700\u6c42：\u6d4b\u8bd5\u673a\u63a5\u6536\u6676\u5706\u6d4b\u8bd5\u4efb\u52a1，\u57fa\u4e8e\u8d28\u6570\u54c8\u5e0c\u65cf\u5206\u914d\u5230\u591a\u673a\u53f0，\u4f18\u5148\u7ea7\u961f\u5217\u7ba1\u7406\u4efb\u52a1\u6267\u884c\u987a\u5e8f，\u652f\u6301\u52a8\u6001\u8c03\u5ea6\u3002\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u5b9e\u73b0：csharp<\/p>\n
\u00a0<\/p>\n
public class DistributedWaferTestScheduler
\n{
\n private readonly DistributedTaskScheduler scheduler;<\/p>\npublic DistributedWaferTestScheduler(int nodeCount)
\n {
\n scheduler = new DistributedTaskScheduler(nodeCount);
\n }<\/p>\npublic async Task<List<(int WaferId, int Priority)>> ScheduleTasksAsync(List<WaferTestTask> tasks)
\n {
\n return await scheduler.ProcessTasksAsync(tasks);
\n }
\n}<\/p>\n\u5faa\u73af\u7f13\u51b2\u533a\u5b9e\u73b0（\u975e\u4f18\u5148\u7ea7）：csharp<\/p>\n
\u00a0<\/p>\n
public class WaferTestBuffer
\n{
\n private CircularBuffer<WaferTestTask> buffer;
\n private readonly object lockObject = new object();<\/p>\npublic WaferTestBuffer(int capacity, bool overwriteWhenFull = true)
\n {
\n buffer = new CircularBuffer<WaferTestTask>(capacity, overwriteWhenFull);
\n }<\/p>\npublic void AddTestTask(WaferTestTask task)
\n {
\n lock (lockObject)
\n {
\n buffer.Write(task);
\n }
\n }<\/p>\npublic WaferTestTask ProcessNextTask()
\n {
\n lock (lockObject)
\n {
\n return buffer.Read();
\n }
\n }
\n}<\/p>\n\u5bf9\u6bd4\u5206\u6790：<\/p>\n
- \n
- \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\n
- \n
- \u4f18\u52bf：O(1) \u54c8\u5e0c\u5206\u914d，O(k log n) \u5408\u5e76，\u652f\u6301\u52a8\u6001\u4f18\u5148\u7ea7\u8c03\u5ea6\u3002<\/li>\n
- \u52a3\u52bf：\u5b9e\u73b0\u590d\u6742，\u7a7a\u95f4\u5f00\u9500\u5927（\u9700\u952e\u503c\u6620\u5c04）\u3002<\/li>\n
- \u9002\u7528\u6027：\u6d4b\u8bd5\u673a\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u5faa\u73af\u7f13\u51b2\u533a：\n
- \n
- \u4f18\u52bf：O(1) Write\/Read，\u56fa\u5b9a\u5bb9\u91cf，\u9ad8\u5e76\u53d1\u3002<\/li>\n
- \u52a3\u52bf：\u65e0\u4f18\u5148\u7ea7\u652f\u6301，FIFO \u987a\u5e8f\u3002<\/li>\n
- \u9002\u7528\u6027：\u56fa\u5b9a\u5bb9\u91cf\u3001FIFO \u4efb\u52a1\u7f13\u51b2\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n
\u9009\u62e9\u5efa\u8bae：\u8d28\u6570\u54c8\u5e0c\u65cf\u7ed3\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u9002\u5408\u6d4b\u8bd5\u673a\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6，\u5faa\u73af\u7f13\u51b2\u533a\u9002\u5408\u56fa\u5b9a\u5bb9\u91cf FIFO \u573a\u666f\u3002<\/p>\n
\n\u516d\u3001\u6d4b\u8bd5\u7528\u4f8b（\u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806 vs \u5faa\u73af\u7f13\u51b2\u533a）\u4ee5\u4e0b\u4ee5\u6d4b\u8bd5\u673a\u573a\u666f\u4e3a\u4f8b，\u6bd4\u8f83\u8d28\u6570\u54c8\u5e0c\u65cf\u7ed3\u5408\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u4e0e\u5faa\u73af\u7f13\u51b2\u533a\u7684\u5904\u7406\u6548\u679c\u3002csharp<\/p>\n
\u00a0<\/p>\n
[TestClass]
\npublic class WaferTestSchedulerTests
\n{
\n [TestMethod]
\n public async Task DistributedSchedulerVsCircularBuffer_PriorityScheduling()
\n {
\n var scheduler = new DistributedWaferTestScheduler(2);
\n var buffer = new WaferTestBuffer(2, true);
\n var time = new DateTime(2025, 8, 7, 8, 35, 0);
\n var tasks = new List<WaferTestTask>
\n {
\n new WaferTestTask(1001, 2, time, "VoltageTest", 0),
\n new WaferTestTask(1002, 1, time, "DefectTest", 0),
\n new WaferTestTask(1003, 3, time, "CurrentTest", 1),
\n new WaferTestTask(1004, 0, time, "ThermalTest", 1)
\n };
\n var expected = new List<(int WaferId, int Priority)>
\n {
\n (1004, 0), (1002, 1), (1001, 2), (1003, 3)
\n };<\/p>\n\/\/ \u6d4b\u8bd5\u5206\u5e03\u5f0f\u8c03\u5ea6
\n var result = await scheduler.ScheduleTasksAsync(tasks);
\n CollectionAssert.AreEqual(expected.Select(t => t.WaferId).ToList(), result.Select(t => t.WaferId).ToList());<\/p>\n\/\/ \u6d4b\u8bd5\u5faa\u73af\u7f13\u51b2\u533a
\n foreach (var task in tasks)
\n buffer.AddTestTask(task);
\n var task1 = buffer.ProcessNextTask();
\n Assert.AreEqual(1001, task1.WaferId); \/\/ FIFO \u987a\u5e8f
\n }
\n}<\/p>\n\u6027\u80fd\u89c2\u5bdf：<\/p>\n
- \n
- \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：O(1) \u5206\u914d\u4efb\u52a1，O(k log n) \u5408\u5e76，\u6309\u4f18\u5148\u7ea7\u8fd4\u56de\u4efb\u52a1（0 < 1 < 2 < 3）\u3002<\/li>\n
- \u5faa\u73af\u7f13\u51b2\u533a：O(1) \u64cd\u4f5c，\u6309 FIFO \u8fd4\u56de\u4efb\u52a1（WaferId 1001）\u3002<\/li>\n<\/ul>\n
\n\u4e03\u3001\u603b\u7ed3\u4e0e\u6ce8\u610f\u4e8b\u9879<\/p>\n
- \u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u7684\u7279\u70b9：\n
- \n
- O(1) \u54c8\u5e0c\u5206\u914d，O(k log n) \u5408\u5e76，\u9002\u5408\u5206\u5e03\u5f0f\u4efb\u52a1\u8c03\u5ea6\u548c\u6392\u5e8f\u3002<\/li>\n
- \u8d28\u6570\u54c8\u5e0c\u65cf\u786e\u4fdd\u5747\u5300\u5206\u533a，\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u652f\u6301\u9ad8\u6548\u4f18\u5148\u7ea7\u7ba1\u7406\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u4e0e\u5176\u4ed6\u6570\u636e\u7ed3\u6784\/\u7b97\u6cd5\u5bf9\u6bd4：\n
- \n
- \u6590\u6ce2\u90a3\u5951\u5806：O(k) \u5408\u5e76，\u9002\u5408\u52a8\u6001\u4f18\u5148\u7ea7\u8c03\u5ea6\u3002<\/li>\n
- \u4e8c\u53c9\u6700\u5c0f\u5806\/\u6700\u5927\u5806：O(k n) \u5408\u5e76，\u9002\u5408\u5355\u673a\u8c03\u5ea6\u3002<\/li>\n
- \u5faa\u73af\u961f\u5217\/\u5faa\u73af\u7f13\u51b2\u533a：O(1) \u64cd\u4f5c，\u9002\u5408 FIFO \u4efb\u52a1\u3002<\/li>\n
- \u5355\u94fe\u8868\/\u53cc\u94fe\u8868：\u9002\u5408\u52a8\u6001\u5217\u8868，\u901a\u4fe1\u5f00\u9500\u5927\u3002<\/li>\n
- \u6570\u7ec4\u5217\u8868：\u9002\u5408\u968f\u673a\u8bbf\u95ee，\u7ed3\u5408\u5feb\u901f\u6392\u5e8f\u3002<\/li>\n
- \u6808：\u9002\u5408 LIFO\u3002<\/li>\n
- \u5806\u6392\u5e8f\/\u5feb\u901f\u6392\u5e8f：\u9002\u5408\u672c\u5730\u6392\u5e8f，\u5206\u5e03\u5f0f\u9700\u4f18\u5316\u5408\u5e76\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u534a\u5bfc\u4f53\u4ea7\u7ebf\u9002\u7528\u6027：\n
- \n
- \u6d4b\u8bd5\u673a：\u8d28\u6570\u54c8\u5e0c\u65cf+\u4e8c\u9879\u5f0f\u6700\u5c0f\u5806\u9002\u5408\u5206\u5e03\u5f0f\u4efb\u52a1\u5206\u914d\u548c\u8c03\u5ea6\u3002<\/li>\n
- \u8d34\u7247\u673a：\u9002\u5408\u4efb\u52a1\u4f18\u5148\u7ea7\u5206\u914d，\u5faa\u73af\u7f13\u51b2\u533a\u9002\u5408\u56fa\u5b9a\u4efb\u52a1\u7f13\u51b2\u3002<\/li>\n<\/ul>\n<\/li>\n
- \u4f18\u5316\u5efa\u8bae：\n
- \n
- \u8d28\u6570\u54c8\u5e0c\u65cf：\u9009\u62e9\u66f4\u5927\u8d28\u6570 ( p )，\u52a8\u6001\u8c03\u6574 ( a, b ) \u63d0\u9ad8\u5747\u5300\u6027\u3002<\/li>\n
- \u4e8c\u9879\u5f0f\u6700\u5c0f\u5806：\u4f7f\u7528\u65e0\u9501\u8bbe\u8ba1（\u5982 CAS）\u4f18\u5316\u5e76\u53d1，\u4f18\u5316\u952e\u503c\u6620\u5c04\u3002<\/li>\n
- \u5206\u5e03\u5f0f\u7cfb\u7edf：\u7ed3\u5408\u6846\u67b6（\u5982 Apache Spark\u3001Hadoop）\u6216\u534f\u8bae（\u5982 Raft）\u4f18\u5316\u6027\u80fd\u3002<\/li>\n<\/ul>\n<\/li>\n
\u5982\u679c\u60a8\u9700\u8981\u66f4\u8be6\u7ec6\u7684\u8d28\u6570\u54c8\u5e0c\u65cf\u5b9e\u73b0（\u5982\u652f\u6301 k-\u72ec\u7acb\u54c8\u5e0c\u3001\u7ed3\u5408\u5206\u5e03\u5f0f\u6392\u5e8f\u7b97\u6cd5）\u3001\u4e0e\u5176\u4ed6\u7b97\u6cd5\u7684\u5bf9\u6bd4，\u6216\u9488\u5bf9\u7279\u5b9a\u534a\u5bfc\u4f53\u8bbe\u5907（\u5982\u6676\u5706\u5207\u5272\u673a）\u7684\u5b9a\u5236\u4ee3\u7801，\u8bf7\u8fdb\u4e00\u6b65\u8bf4\u660e，\u6211\u5c06\u63d0\u4f9b\u66f4\u6df1\u5165\u7684\u5206\u6790\u548c\u793a\u4f8b！<\/p>\n
\u6590\u6ce2\u90a3\u5951\u5806\u5e94\u7528<\/p>\n
\u4e00\u81f4\u6027\u54c8\u5e0c\u7b97\u6cd5<\/p>\n
\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"
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