\u4e8c\u3001Dijkstra \u7b97\u6cd5\u7684\u6838\u5fc3\u6b65\u9aa4<\/h3>\n
Dijkstra \u7b97\u6cd5\u7684\u6838\u5fc3\u6b65\u9aa4\u53ef\u4ee5\u5206\u4e3a\u4ee5\u4e0b\u51e0\u6b65：<\/p>\n
\u4e09\u3001Dijkstra \u7b97\u6cd5\u7684\u4ee3\u7801\u5b9e\u73b0<\/h3>\n1. Python \u7248\u672c（\u76f4\u89c2\u6613\u61c2）<\/h4>\n
import heapq<\/p>\n
def dijkstra(graph, start):
\n # \u521d\u59cb\u5316\u8ddd\u79bb：\u6240\u6709\u8282\u70b9\u8ddd\u79bb\u8bbe\u4e3a\u65e0\u7a77\u5927
\n distances = {node: float('inf') for node in graph}
\n distances[start] = 0<\/p>\n
# \u4f18\u5148\u961f\u5217：\u5b58\u50a8（\u8ddd\u79bb，\u8282\u70b9），\u8ddd\u79bb\u5c0f\u7684\u4f18\u5148
\n priority_queue = []
\n heapq.heappush(priority_queue, (0, start))<\/p>\n
# \u8bb0\u5f55\u8def\u5f84
\n path = {node: None for node in graph}<\/p>\n
while priority_queue:
\n current_distance, current_node = heapq.heappop(priority_queue)<\/p>\n
# \u5982\u679c\u5f53\u524d\u8ddd\u79bb\u5927\u4e8e\u5df2\u77e5\u6700\u77ed\u8ddd\u79bb，\u8df3\u8fc7
\n if current_distance > distances[current_node]:
\n continue<\/p>\n
# \u904d\u5386\u90bb\u5c45
\n for neighbor, weight in graph[current_node].items():
\n distance = current_distance + weight<\/p>\n
# \u5982\u679c\u65b0\u8ddd\u79bb\u66f4\u77ed，\u66f4\u65b0
\n if distance < distances[neighbor]:
\n distances[neighbor] = distance
\n path[neighbor] = current_node
\n heapq.heappush(priority_queue, (distance, neighbor))<\/p>\n
return distances, path<\/p>\n
# \u6d4b\u8bd5：\u8def\u7531\u5668\u7f51\u7edc
\ngraph = {
\n 'R1': {'R2': 1, 'R3': 10, 'R5': 10},
\n 'R2': {'R1': 1, 'R3': 3, 'R5': 2},
\n 'R3': {'R1': 10, 'R2': 3, 'R4': 1},
\n 'R4': {'R3': 1, 'R5': 1},
\n 'R5': {'R1': 10, 'R2': 2, 'R4': 1}
\n}<\/p>\n
distances, path = dijkstra(graph, 'R1')
\nprint("\u6700\u77ed\u8ddd\u79bb：", distances)
\nprint("\u8def\u5f84：", path)<\/p>\n
2. C \u8bed\u8a00\u7248\u672c（\u66f4\u8d34\u8fd1\u5e95\u5c42）<\/h4>\n
#include <stdio.h>
\n#include <stdlib.h>
\n#include <limits.h><\/p>\n
#define INF INT_MAX
\n#define N 5 \/\/ \u8def\u7531\u5668\u6570\u91cf<\/p>\n
\/\/ \u8def\u7531\u5668\u540d\u79f0
\nchar nodes[] = {'R1', 'R2', 'R3', 'R4', 'R5'};<\/p>\n
\/\/ \u56fe\u7684\u90bb\u63a5\u77e9\u9635
\nint graph[N][N] = {
\n {0, 1, 10, INF, 10},
\n {1, 0, 3, INF, 2},
\n {10, 3, 0, 1, INF},
\n {INF, INF, 1, 0, 1},
\n {10, 2, INF, 1, 0}
\n};<\/p>\n
\/\/ \u627e\u5230\u8ddd\u79bb\u6700\u5c0f\u7684\u672a\u8bbf\u95ee\u8282\u70b9
\nint minDistance(int dist[], int visited[]) {
\n int min = INF, min_index;
\n for (int v = 0; v < N; v++) {
\n if (visited[v] == 0 && dist[v] < min) {
\n min = dist[v];
\n min_index = v;
\n }
\n }
\n return min_index;
\n}<\/p>\n
\/\/ Dijkstra\u7b97\u6cd5
\nvoid dijkstra(int start) {
\n int dist[N]; \/\/ \u5b58\u50a8\u6700\u77ed\u8ddd\u79bb
\n int visited[N]; \/\/ \u6807\u8bb0\u662f\u5426\u5df2\u8bbf\u95ee
\n int path[N]; \/\/ \u8bb0\u5f55\u8def\u5f84<\/p>\n
\/\/ \u521d\u59cb\u5316
\n for (int i = 0; i < N; i++) {
\n dist[i] = INF;
\n visited[i] = 0;
\n path[i] = -1;
\n }
\n dist[start] = 0;<\/p>\n
for (int count = 0; count < N – 1; count++) {
\n \/\/ \u9009\u62e9\u8ddd\u79bb\u6700\u5c0f\u7684\u672a\u8bbf\u95ee\u8282\u70b9
\n int u = minDistance(dist, visited);
\n visited[u] = 1;<\/p>\n
\/\/ \u66f4\u65b0\u90bb\u5c45\u7684\u8ddd\u79bb
\n for (int v = 0; v < N; v++) {
\n if (!visited[v] && graph[u][v] != INF && dist[u] != INF && dist[u] + graph[u][v] < dist[v]) {
\n dist[v] = dist[u] + graph[u][v];
\n path[v] = u;
\n }
\n }
\n }<\/p>\n
\/\/ \u6253\u5370\u7ed3\u679c
\n printf("\u8d77\u70b9：%c\\\\n", nodes[start]);
\n for (int i = 0; i < N; i++) {
\n printf("\u5230%c\u7684\u6700\u77ed\u8ddd\u79bb：%d，\u8def\u5f84：", nodes[i], dist[i]);
\n int p = i;
\n while (p != -1) {
\n printf("%c ", nodes[p]);
\n p = path[p];
\n }
\n printf("\\\\n");
\n }
\n}<\/p>\n
int main() {
\n dijkstra(0); \/\/ \u4eceR1\u51fa\u53d1
\n return 0;
\n}<\/p>\n
\u56db\u3001Dijkstra \u7b97\u6cd5\u7684\u7279\u70b9<\/h3>\n\n- \u65f6\u95f4\u590d\u6742\u5ea6：O (n\u00b2)（\u6734\u7d20\u5b9e\u73b0），O (m log n)（\u4f18\u5148\u961f\u5217\u5b9e\u73b0）；<\/li>\n
- \u7a7a\u95f4\u590d\u6742\u5ea6：O (n)，\u9700\u8981\u5b58\u50a8\u8ddd\u79bb\u548c\u8bbf\u95ee\u6807\u8bb0；<\/li>\n
- \u9002\u7528\u573a\u666f：\u8fb9\u6743\u975e\u8d1f\u7684\u56fe，\u4e0d\u80fd\u5904\u7406\u8d1f\u6743\u8fb9；<\/li>\n
- \u5355\u6e90\u6700\u77ed\u8def\u5f84：\u53ea\u80fd\u8ba1\u7b97\u8d77\u70b9\u5230\u6240\u6709\u5176\u4ed6\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\u3002<\/li>\n<\/ul>\n
\u4e94\u3001Dijkstra \u7b97\u6cd5\u7684\u4f18\u5316<\/h3>\n
\u4e3a\u4e86\u63d0\u9ad8 Dijkstra \u7b97\u6cd5\u7684\u6548\u7387，\u53ef\u4ee5\u8fdb\u884c\u4ee5\u4e0b\u4f18\u5316：<\/p>\n
- \u4f18\u5148\u961f\u5217：\u4f7f\u7528\u4f18\u5148\u961f\u5217\u5b58\u50a8\u8282\u70b9，\u6bcf\u6b21\u53d6\u51fa\u8ddd\u79bb\u6700\u5c0f\u7684\u8282\u70b9，\u65f6\u95f4\u590d\u6742\u5ea6\u964d\u4e3a O (m log n)；<\/li>\n
- \u6590\u6ce2\u90a3\u5951\u5806：\u4f7f\u7528\u6590\u6ce2\u90a3\u5951\u5806\u4ee3\u66ff\u4f18\u5148\u961f\u5217，\u65f6\u95f4\u590d\u6742\u5ea6\u964d\u4e3a O (m + n log n)；<\/li>\n
- \u53cc\u5411 Dijkstra：\u4ece\u8d77\u70b9\u548c\u7ec8\u70b9\u540c\u65f6\u5f00\u59cb Dijkstra \u7b97\u6cd5，\u76f4\u5230\u76f8\u9047，\u51cf\u5c11\u641c\u7d22\u8303\u56f4\u3002<\/li>\n
\u516d\u3001Dijkstra \u7b97\u6cd5\u7684\u5b9e\u9645\u5e94\u7528\u573a\u666f<\/h3>\n
Dijkstra \u7b97\u6cd5\u662f\u4e00\u79cd\u975e\u5e38\u57fa\u7840\u4e14\u91cd\u8981\u7684\u7b97\u6cd5，\u5e38\u89c1\u573a\u666f\u5305\u62ec：<\/p>\n
- \u8def\u7531\u534f\u8bae：OSPF（\u5f00\u653e\u5f0f\u6700\u77ed\u8def\u5f84\u4f18\u5148）\u534f\u8bae\u7684\u6838\u5fc3\u7b97\u6cd5，\u7528\u4e8e\u8ba1\u7b97\u8def\u7531\u5668\u4e4b\u95f4\u7684\u6700\u77ed\u8def\u5f84；<\/li>\n
- \u5bfc\u822a\u7cfb\u7edf：\u8f66\u8f7d\u5bfc\u822a\u3001\u65e0\u4eba\u673a\u5bfc\u822a，\u8ba1\u7b97\u6700\u77ed\u8def\u7ebf；<\/li>\n
- \u7f51\u7edc\u8bbe\u8ba1：\u8bbe\u8ba1\u7f51\u7edc\u62d3\u6251，\u6700\u5c0f\u5316\u7f51\u7edc\u5ef6\u8fdf；<\/li>\n
- \u6e38\u620f AI：\u6e38\u620f\u4e2d\u7684 NPC \u8def\u5f84\u89c4\u5212，\u627e\u5230\u6700\u77ed\u8def\u5f84；<\/li>\n
- \u7269\u6d41\u914d\u9001：\u8ba1\u7b97\u914d\u9001\u4e2d\u5fc3\u5230\u5404\u4e2a\u914d\u9001\u70b9\u7684\u6700\u77ed\u8def\u5f84\u3002<\/li>\n
\u4e03\u3001Dijkstra \u7b97\u6cd5 vs BFS<\/h3>\n
Dijkstra \u7b97\u6cd5\u548c BFS \u90fd\u662f\u8def\u5f84\u641c\u7d22\u7b97\u6cd5，\u5b83\u4eec\u7684\u533a\u522b\u5982\u4e0b：<\/p>\n
![](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260912000107-6aa49643c86af.png\")
<\/p>\n
\u516b\u3001\u603b\u7ed3<\/h3>\n
Dijkstra \u7b97\u6cd5\u662f\u4e00\u79cd\u5355\u6e90\u6700\u77ed\u8def\u5f84\u7b97\u6cd5，\u5b83\u901a\u8fc7\u6bcf\u6b21\u9009\u62e9\u8ddd\u79bb\u8d77\u70b9\u6700\u8fd1\u7684\u672a\u8bbf\u95ee\u8282\u70b9，\u66f4\u65b0\u5176\u90bb\u5c45\u8282\u70b9\u7684\u8ddd\u79bb，\u6700\u7ec8\u5f97\u5230\u8d77\u70b9\u5230\u6240\u6709\u5176\u4ed6\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\u3002<\/p>\n
Dijkstra \u7b97\u6cd5\u662f OSPF \u8def\u7531\u534f\u8bae\u7684\u6838\u5fc3\u7b97\u6cd5，\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5bfc\u822a\u7cfb\u7edf\u3001\u7f51\u7edc\u8bbe\u8ba1\u3001\u6e38\u620f AI \u7b49\u9886\u57df，\u662f\u4e00\u79cd\u975e\u5e38\u57fa\u7840\u4e14\u91cd\u8981\u7684\u7b97\u6cd5\u3002<\/p>\n
\u5e0c\u671b\u8fd9\u7bc7\u6587\u7ae0\u80fd\u5e2e\u52a9\u4f60\u7406\u89e3 Dijkstra \u7b97\u6cd5\u7684\u539f\u7406\u548c\u5b9e\u73b0！<\/p>\n
\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"
\u4e00\u3001\u4ec0\u4e48\u662f Dijkstra \u7b97\u6cd5？Dijkstra \u7b97\u6cd5\u662f\u4e00\u79cd\u5355\u6e90\u6700\u77ed\u8def\u5f84\u7b97\u6cd5，\u7531\u8377\u5170\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6 Edsger W. Dijkstra \u5728 1956 \u5e74\u63d0\u51fa\u3002\u5b83\u7684\u6838\u5fc3\u601d\u60f3\u662f\u4ece\u8d77\u70b9\u51fa\u53d1，\u6bcf\u6b21\u9009\u62e9\u8ddd\u79bb\u8d77\u70b9\u6700\u8fd1\u7684\u672a\u8bbf\u95ee\u8282\u70b9，\u66f4\u65b0\u5176\u90bb\u5c45\u8282\u70b9\u7684\u8ddd\u79bb，\u76f4\u5230\u6240\u6709\u8282\u70b9\u90fd\u88ab\u8bbf\u95ee，\u6700\u7ec8\u5f97\u5230\u8d77\u70b9\u5230\u6240\u6709\u5176\u4ed6\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\u3002\u7b80\u5355\u6765\u8bf4，Dijkstra \u7b97\u6cd5\u5c31\u50cf \u201c\u627e\u6700\u77ed\u8def\u7ebf\u7684\u5bfc\u822a\u201d：\u4f60\u5728<\/p>\n","protected":false},"author":2,"featured_media":104245,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[427],"topic":[],"class_list":["post-104246","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-427"],"yoast_head":"\n
17.Dijkstra \u7b97\u6cd5\uff1aOSPF \u8def\u7531\u7684\u6838\u5fc3\u6700\u77ed\u8def\u5f84\u7b97\u6cd5 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/104246.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"17.Dijkstra \u7b97\u6cd5\uff1aOSPF \u8def\u7531\u7684\u6838\u5fc3\u6700\u77ed\u8def\u5f84\u7b97\u6cd5 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"\u4e00\u3001\u4ec0\u4e48\u662f Dijkstra \u7b97\u6cd5？Dijkstra \u7b97\u6cd5\u662f\u4e00\u79cd\u5355\u6e90\u6700\u77ed\u8def\u5f84\u7b97\u6cd5，\u7531\u8377\u5170\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6 Edsger W. 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\u4e94\u3001Dijkstra \u7b97\u6cd5\u7684\u4f18\u5316<\/h3>\n
\u4e3a\u4e86\u63d0\u9ad8 Dijkstra \u7b97\u6cd5\u7684\u6548\u7387，\u53ef\u4ee5\u8fdb\u884c\u4ee5\u4e0b\u4f18\u5316：<\/p>\n
\u516d\u3001Dijkstra \u7b97\u6cd5\u7684\u5b9e\u9645\u5e94\u7528\u573a\u666f<\/h3>\n
Dijkstra \u7b97\u6cd5\u662f\u4e00\u79cd\u975e\u5e38\u57fa\u7840\u4e14\u91cd\u8981\u7684\u7b97\u6cd5，\u5e38\u89c1\u573a\u666f\u5305\u62ec：<\/p>\n
\u4e03\u3001Dijkstra \u7b97\u6cd5 vs BFS<\/h3>\n
Dijkstra \u7b97\u6cd5\u548c BFS \u90fd\u662f\u8def\u5f84\u641c\u7d22\u7b97\u6cd5，\u5b83\u4eec\u7684\u533a\u522b\u5982\u4e0b：<\/p>\n
<\/p>\n
\u516b\u3001\u603b\u7ed3<\/h3>\n
Dijkstra \u7b97\u6cd5\u662f\u4e00\u79cd\u5355\u6e90\u6700\u77ed\u8def\u5f84\u7b97\u6cd5，\u5b83\u901a\u8fc7\u6bcf\u6b21\u9009\u62e9\u8ddd\u79bb\u8d77\u70b9\u6700\u8fd1\u7684\u672a\u8bbf\u95ee\u8282\u70b9，\u66f4\u65b0\u5176\u90bb\u5c45\u8282\u70b9\u7684\u8ddd\u79bb，\u6700\u7ec8\u5f97\u5230\u8d77\u70b9\u5230\u6240\u6709\u5176\u4ed6\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\u3002<\/p>\n
Dijkstra \u7b97\u6cd5\u662f OSPF \u8def\u7531\u534f\u8bae\u7684\u6838\u5fc3\u7b97\u6cd5，\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5bfc\u822a\u7cfb\u7edf\u3001\u7f51\u7edc\u8bbe\u8ba1\u3001\u6e38\u620f AI \u7b49\u9886\u57df，\u662f\u4e00\u79cd\u975e\u5e38\u57fa\u7840\u4e14\u91cd\u8981\u7684\u7b97\u6cd5\u3002<\/p>\n
\u5e0c\u671b\u8fd9\u7bc7\u6587\u7ae0\u80fd\u5e2e\u52a9\u4f60\u7406\u89e3 Dijkstra \u7b97\u6cd5\u7684\u539f\u7406\u548c\u5b9e\u73b0！<\/p>\n
\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"
\u4e00\u3001\u4ec0\u4e48\u662f Dijkstra \u7b97\u6cd5？Dijkstra \u7b97\u6cd5\u662f\u4e00\u79cd\u5355\u6e90\u6700\u77ed\u8def\u5f84\u7b97\u6cd5，\u7531\u8377\u5170\u8ba1\u7b97\u673a\u79d1\u5b66\u5bb6 Edsger W. Dijkstra \u5728 1956 \u5e74\u63d0\u51fa\u3002\u5b83\u7684\u6838\u5fc3\u601d\u60f3\u662f\u4ece\u8d77\u70b9\u51fa\u53d1，\u6bcf\u6b21\u9009\u62e9\u8ddd\u79bb\u8d77\u70b9\u6700\u8fd1\u7684\u672a\u8bbf\u95ee\u8282\u70b9，\u66f4\u65b0\u5176\u90bb\u5c45\u8282\u70b9\u7684\u8ddd\u79bb，\u76f4\u5230\u6240\u6709\u8282\u70b9\u90fd\u88ab\u8bbf\u95ee，\u6700\u7ec8\u5f97\u5230\u8d77\u70b9\u5230\u6240\u6709\u5176\u4ed6\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\u3002\u7b80\u5355\u6765\u8bf4，Dijkstra \u7b97\u6cd5\u5c31\u50cf \u201c\u627e\u6700\u77ed\u8def\u7ebf\u7684\u5bfc\u822a\u201d：\u4f60\u5728<\/p>\n","protected":false},"author":2,"featured_media":104245,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[427],"topic":[],"class_list":["post-104246","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-427"],"yoast_head":"\n