{"id":560,"date":"2020-10-06T18:05:30","date_gmt":"2020-10-06T10:05:30","guid":{"rendered":"https:\/\/www.furyblog.com\/?p=560"},"modified":"2020-10-06T18:07:50","modified_gmt":"2020-10-06T10:07:50","slug":"dijkstra%e7%ae%97%e6%b3%95%e4%bb%8b%e7%bb%8d","status":"publish","type":"post","link":"https:\/\/www.furyblog.com\/?p=560","title":{"rendered":"Dijkstra\u7b97\u6cd5\u4ecb\u7ecd"},"content":{"rendered":"\t\t
\n\t\t\t\t\t\t
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1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>Dijkstra<\/span>\u7b97\u6cd5\u4ecb\u7ecd<\/span><\/span><\/h1>

\u5728\u6570\u5b66\u4e0a\uff0c\u4ee5\u67d0\u4e2a\u8282\u70b9\u4e3a\u8d77\u70b9\uff0c\u8ba1\u7b97\u5230\u5176\u4ed6\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\u7684\u7b97\u6cd5\uff0c\u79f0\u4e3a\u201c<\/span>\u5355\u6e90\u6700\u77ed\u8def\u5f84\u201d\u00a0<\/span>\u7b97\u6cd5\u3002\u6c42\u201c<\/span>\u5355\u6e90\u6700\u77ed\u8def\u5f84\u201d<\/span>\u7684\u95ee\u9898\u5728\u6570\u5b66\u4e0a\u53ef\u4ee5\u7cbe\u786e\u63cf\u8ff0\u5982\u4e0b\uff1a<\/span><\/p>

\u201c<\/span><\/b>\u5355\u6e90\u6700\u77ed\u8def\u5f84\u201d\u00a0<\/span>\u95ee\u9898\uff1a<\/span><\/b>\u5df2\u77e5\u4e00\u4e2a\u7531n<\/span>\u4e2a\u8282\u70b9(V0..n)<\/span>\u6784\u6210\u7684\u6709\u5411\u8fde\u901a\u56feG<\/span>\uff1d\uff08V<\/span>\uff0cE<\/span>\uff09\uff0c\u4ee5\u53ca\u56fe\u4e2d\u8fb9\u7684\u6743\u51fd\u6570C (E)<\/span>\uff0c\u5176\u4e2dV<\/span>\u4ee3\u8868\u8282\u70b9\u96c6\u5408\uff0cE<\/span>\u8868\u793a\u6240\u6709\u8fb9\u7684\u96c6\u5408\uff0c\u5e76\u5047\u8bbe\u6240\u6709\u6743\u975e\u8d1f\uff0c\u6c42\u7531G<\/span>\u4e2d\u6307\u5b9a\u8282\u70b9V0<\/span>\u5230\u5176\u4ed6\u5404\u4e2a\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\u3002<\/span><\/span><\/p>

Dijkstra<\/span>\u7b97\u6cd5\u662f\u5f88\u7ecf\u5178\u7684\u6c42\u89e3\u4e0a\u8ff0\u95ee\u9898\u7684\u7b97\u6cd5\uff0c\u5176\u57fa\u672c\u60f3\u6cd5\u662f\u8bbe\u8ba1\u4e00\u79cd\u6700\u77ed\u8def\u5f84\u6811\u7684\u6784\u9020\u65b9\u6cd5\uff0c\u6309\u975e\u964d\u6b21\u5e8f\u9010\u6761\u6784\u9020\u4eceV0<\/span>\u5230\u5404\u4e2a\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\uff0c\u7b2c\u4e00\u6b65\u627e\u5230\u548cV0<\/span>\u76f8\u8ddd\u6700\u77ed\u7684\u8282\u70b9\u4ee5\u53ca\u5230\u8fd9\u4e2a\u8282\u70b9\u7684\u8def\u5f84\uff0c\u7b2c\u4e8c\u6b65\u627e\u5230\u548cV0<\/span>\u76f8\u8ddd\u6b21\u77ed\u7684\u8282\u70b9\u4ee5\u53ca\u5230\u8fd9\u4e2a\u8282\u70b9\u7684\u8def\u5f84\uff0c\u5982\u6b64\u53cd\u590d\uff0c\u6700\u540e\u627e\u5230V0<\/span>\u5230\u6240\u6709\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\uff0c\u6784\u9020\u51fa\u6574\u68f5\u6700\u77ed\u8def\u5f84\u6811\u3002<\/span><\/span><\/p>

\u5bf9\u4e0a\u8ff0\u6784\u9020\u65b9\u6cd5\uff0c\u76f4\u89c9\u4e0a\u5f88\u5bb9\u6613\u6709\u5982\u4e0b\u601d\u8003\uff1a\u548cV0<\/span>\u76f8\u8ddd\u6700\u77ed\u7684\u8282\u70b9\u5e94\u8be5\u5728\u548cV0<\/span>\u76f4\u63a5\u76f8\u90bb\u7684\u8282\u70b9\u4e2d\uff0c\u548cV0<\/span>\u76f8\u8ddd\u6b21\u77ed\u7684\u8282\u70b9\u8981\u4e48\u5728\u548cV0<\/span>\u76f4\u63a5\u76f8\u90bb\u7684\u8282\u70b9\u4e2d\uff0c\u8981\u4e48\u5728\u548c\u8fd9\u4e9b\u76f8\u90bb\u8282\u70b9\u76f8\u90bb\u7684\u8282\u70b9\u4e2d\uff0c\u5982\u6b64\u9010\u6b65\u6269\u6563\u8003\u8651\uff0c\u5e94\u8be5\u5c31\u53ef\u4ee5\u627e\u5230\u548cV0<\/span>\u76f8\u8ddd\u6700\u77ed\u3001\u6b21\u77ed\u3001\u2026\u2026.<\/span>\u7b2cn<\/span>\u77ed\u7684\u8282\u70b9\u4ee5\u53ca\u5bf9\u5e94\u7684\u8def\u5f84\uff0c\u800c\u4e14\u56e0\u4e3a\u662f\u8fde\u901a\u56fe\uff0c\u6700\u540e\u80af\u5b9a\u6240\u6709\u8282\u70b9\u90fd\u80fd\u5168\u90e8\u8003\u8651\u5230\uff0c\u4e5f\u5c31\u80fd\u5b8c\u6210\u6574\u68f5\u6700\u77ed\u8def\u5f84\u6811\u7684\u6784\u9020\u3002<\/span><\/p>

\u4e8b\u5b9e\u4e0a\uff0c\u4e0a\u8ff0\u76f4\u89c9\u975e\u5e38\u6709\u6548\uff0cDijkstra<\/span>\u7b97\u6cd5\u662f\u5bf9\u4e0a\u8ff0\u8fc7\u7a0b\u7684\u4e00\u4e2a\u63d0\u70bc\u548c\u4f18\u5316\uff1a\u548cV0<\/span>\u76f8\u8ddd\u6700\u77ed\u7684\u8282\u70b9\u662f\u548cV0<\/span>\u76f4\u63a5\u76f8\u8fde\u7684\u8282\u70b9\u6ca1\u9519\uff1b\u76f8\u8ddd\u6b21\u77ed\u7684\u8282\u70b9\u8303\u56f4\u53ef\u4ee5\u7f29\u5c0f\u4e3a\uff0c\u548cV0<\/span>\u76f4\u63a5\u76f8\u90bb\u7684\u8282\u70b9\uff0c\u52a0\u4e0a\u8ddf\u521a\u9009\u4e2d\u7684\u6700\u77ed\u8282\u70b9\u76f4\u63a5\u76f8\u90bb\u7684\u8282\u70b9\uff1b\u76f8\u8ddd\u7b2c\u4e09\u77ed\u7684\u8282\u70b9\u7684\u8303\u56f4\u53ef\u4ee5\u7c7b\u63a8\u5f97\u5230\uff0c\u5373\u5728\u4e0a\u4e00\u6b65\u8003\u5bdf\u7684\u8282\u70b9\u7684\u57fa\u7840\u4e0a\uff0c\u52a0\u4e0a\u548c\u6b21\u77ed\u8282\u70b9\u76f4\u63a5\u76f8\u90bb\u7684\u8282\u70b9\u3002\u5982\u6b64\u9010\u6b65\u6784\u9020\uff0c\u53ef\u4ee5\u6309\u975e\u964d\u6b21\u5e8f\u7ed9\u51fa\u5230\u6240\u6709\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\u3002<\/span><\/p>

\u4e3a\u4e86\u4ece\u6570\u5b66\u4e0a\u7cbe\u786e\u63cf\u8ff0\u4e0a\u8ff0\u6784\u9020\u8fc7\u7a0b\uff0c\u9700\u8981\u5f15\u5165\u4e86\u96c6\u5408\u7684\u6982\u5ff5\u5bf9\u8282\u70b9\u548c\u8def\u5f84\u8fdb\u884c\u5206\u7c7b\u3002<\/span><\/p>

\u6211\u4eec\u628a\u8282\u70b9\u5206\u6210\u4e24\u4e2a\u96c6\u5408\uff1a<\/span><\/p>

A<\/span><\/b>\uff1a<\/span><\/b>\u5df2\u7ecf\u9009\u5165\u6700\u77ed\u8def\u5f84\u6811\u7684\u8282\u70b9\u7684\u96c6\u5408\u3002<\/span><\/span><\/p>

B<\/span><\/b>\uff1a<\/span><\/b>\u5269\u4f59\u7684\u5176\u4ed6\u8282\u70b9\u7684\u96c6\u5408\u3002<\/span><\/span><\/p>

\u5bf9\u4e8e\u8def\u5f84\uff0c\u6211\u4eec\u5206\u6210\u4e09\u4e2a\u96c6\u5408\uff1a<\/span><\/p>

I<\/span><\/b>\uff1a<\/span><\/b>\u5df2\u7ecf\u9009\u5165\u6700\u77ed\u8def\u5f84\u6811\u7684\u8def\u5f84\u7684\u96c6\u5408<\/span><\/span><\/p>

II<\/span><\/b>\uff1a<\/span><\/b>\u5019\u9009\u8def\u5f84\u96c6\u5408\uff1a\u4e0b\u4e00\u6761\u52a0\u5165\u6700\u77ed\u8def\u5f84\u6811\u7684\u8def\u5f84\u5c06\u4ece\u8fd9\u4e2a\u96c6\u5408\u4e2d\u9009\u5165\u3002<\/span><\/span><\/p>

III<\/span><\/b>\uff1a<\/span><\/b>\u5269\u4f59\u7684\u5176\u4ed6\u8def\u5f84\u7684\u96c6\u5408\uff08\u88ab\u5e9f\u5f03\u7684\u8def\u5f84\u6216\u8005\u8fd8\u672a\u8003\u8651\u7684\u8def\u5f84\uff09\u3002<\/span><\/span><\/p>

\u4e3a\u4e86\u66f4\u597d\u7684\u7406\u89e3\uff0c\u6709\u5fc5\u8981\u5bf9\u201c<\/span>\u8def\u5f84\u201d<\/span>\u7684\u5b9a\u4e49\u8fdb\u884c\u660e\u786e\u548c\u5f3a\u8c03\uff1a\u8def\u5f84\u662f\u6307\u4ee5V0<\/span>\u4e3a\u8d77\u70b9\uff0c\u5176\u4ed6\u8282\u70b9\u4e3a\u7ec8\u70b9\u7684\u7531\u4e00\u6761\u6216\u591a\u6761\u8fb9\u7ec4\u6210\u7684\u4e00\u4e2a\u6709\u5e8f\u96c6\u3002\u8fb9\uff0c\u53ef\u4ee5\u7406\u89e3\u4e3a\u8def\u5f84\u4e2d\u7684\u4e00\u6bb5\uff0c\u53ea\u6709\u5230\u548cV0<\/span>\u76f4\u63a5\u76f8\u90bb\u7684\u8282\u70b9\u7684\u8def\u5f84\u624d\u76f4\u63a5\u5bf9\u5e94\u4e00\u6761\u8fb9\u3002\u4eceV0<\/span>\u5230\u6240\u6709\u8282\u70b9\uff0c\u90fd\u53ef\u80fd\u5b58\u5728\u4e00\u6761\u6216\u591a\u6761\u8def\u5f84\uff0c\u975e\u6700\u77ed\u8def\u5f84\u5728\u8ba1\u7b97\u8fc7\u7a0b\u4e2d\u5c06\u4f1a\u88ab\u5e9f\u5f03\uff0c\u653e\u5165\u96c6\u5408III<\/span>\u3002<\/span><\/p>

\u4ece\u524d\u9762\u7684\u63cf\u8ff0\u4e2d\u53ef\u4ee5\u660e\u663e\u770b\u51fa\uff0cDijkstra<\/span>\u7b97\u6cd5\u662f\u4e00\u4e2a\u9012\u5f52\u6784\u9020\u8fc7\u7a0b\uff0c\u56e0\u4e3a\u4efb\u4f55\u9012\u5f52\u90fd\u5fc5\u987b\u6709\u660e\u786e\u7684\u521d\u59cb\u72b6\u6001\uff0c\u6240\u4ee5\u6211\u4eec\u6709\u5fc5\u8981\u5148\u5f97\u5230\u4e0a\u8ff0Dijkstra<\/span>\u7b97\u6cd5\u4e2d\u5b9a\u4e49\u7684\u96c6\u5408\u7684\u521d\u59cb\u503c\uff1a<\/span><\/p>

l\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>\u4ee5V0<\/span>\u4e3a\u8d77\u70b9\u8ba1\u7b97\u6700\u77ed\u8def\u5f84\u7684\u8bdd\uff0c\u521d\u59cb\u72b6\u6001\u65f6\u663e\u7136\u6709\u4e14\u53ea\u6709V0<\/span>\u5728\u96c6\u5408A<\/span>\u4e2d\uff0c\u6240\u4ee5\u96c6\u5408A<\/span>\u7684\u521d\u59cb\u503c\u4e3aV0<\/span>\u3002\u96c6\u5408B<\/span>\u7684\u521d\u59cb\u503c\u4e3a\u5269\u4f59\u8282\u70b9\u3002<\/span><\/span><\/p>

l\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>\u524d\u9762\u63d0\u5230\u8fc7\uff0c\u4e0b\u4e00\u4e2a\u52a0\u5165\u96c6\u5408A<\/span>\u7684\u8282\u70b9\uff0c\u4e00\u5b9a\u662f\u548cV0<\/span>\u76f4\u63a5\u6709\u8fb9\u76f8\u8fde\u7684\u8282\u70b9\uff0c\u56e0\u6b64\uff0c\u52a0\u5165\u6700\u77ed\u8def\u5f84\u6811\u7684\u7b2c\u4e00\u6761\u8def\u5f84\u4e5f\u5fc5\u7136\u5728\u8fd9\u4e9b\u548cV0<\/span>\u76f4\u63a5\u76f8\u8fde\u7684\u8fb9\u6240\u4ee3\u8868\u7684\u8def\u5f84\u4e2d\u4ea7\u751f\uff0c\u6240\u4ee5\u96c6\u5408II<\/span>\u7684\u521d\u59cb\u503c\u5c31\u662f\u548cV0<\/span>\u76f4\u63a5\u76f8\u8fde\u7684\u8fb9\u6784\u6210\u7684\u8def\u5f84\u3002\u53e6\u5916\uff0c\u521d\u59cb\u72b6\u6001\u6700\u77ed\u8def\u5f84\u6811\u4e3a\u7a7a\uff0c\u6240\u4ee5\u96c6\u5408I<\/span>\u7684\u521d\u59cb\u503c\u4e3a\u7a7a\u3002\u96c6\u5408I<\/span>\u3001II<\/span>\u660e\u786e\u4e86\u7684\u8bdd\uff0c\u96c6\u5408III<\/span>\u81ea\u7136\u660e\u786e\u3002<\/span><\/span><\/p>

\u00a0<\/p>

\u4e0b\u9762\u6211\u4eec\u5f00\u59cb\u5c55\u5f00\u9012\u5f52\u6784\u9020\u6700\u77ed\u8def\u5f84\u6811\u7684\u8fc7\u7a0b\uff1a<\/span><\/p>

l\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>\u7b2c\u4e00\u6b65\uff1a\u4ece\u96c6\u5408II<\/span>\u4e2d\u9009\u62e9\u4e00\u6761\u6700\u77ed\u7684\u8def\u5f84\uff0c\u653e\u5165\u6700\u77ed\u8def\u5f84\u6811\uff0c\u76f8\u5e94\u7684\uff0c\u8fd9\u6761\u8def\u5f84\u7684\u7ec8\u70b9\u5bf9\u5e94\u7684\u8282\u70b9\uff08\u8fd9\u91cc\u8bb0\u4e3aX<\/span>\uff09\u5e94\u8be5\u4ece\u96c6\u5408B<\/span>\u79fb\u5165\u96c6\u5408A<\/span>\u3002<\/span><\/span><\/p>

l\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>\u7b2c\u4e8c\u6b65\uff1a\u8003\u5bdf\u6240\u6709\u4eceX<\/span>\u51fa\u53d1\u7684\u8fb9\u7684\u7ec8\u70b9\uff0c\u8003\u8651\u5176\u4e2d\u4e0d\u5c5e\u4e8e\u96c6\u5408A<\/span>\u7684\u8282\u70b9\uff0c\u8fd9\u91cc\u8bb0\u4e3aY<\/span>\uff0c\u8ba1\u7b97\u4eceV0<\/span>\u51fa\u53d1\u7ecfX<\/span>\u5230\u8fbeY<\/span>\u7684\u8def\u5f84\u503c\uff0c\u8ba1\u7b97\u65b9\u6cd5\u4e3a\uff1a\u6700\u77ed\u8def\u5f84\u6811\u4e2dV0<\/span>\u5230\u8282\u70b9X<\/span>\u7684\u8def\u5f84\u503c\u52a0\u4e0a\uff08X<\/span>\uff0cY<\/span>\uff09\u8fd9\u6761\u8fb9\u7684\u503c\u3002\u4e3a\u4e86\u63cf\u8ff0\u65b9\u4fbf\uff0c\u6211\u4eec\u628a\u4eceV0<\/span>\u51fa\u53d1\u7ecfX<\/span>\u5230\u8fbeY<\/span>\u7684\u8def\u5f84\u8bb0\u4e3a\uff08V0X<\/span>\uff09Y<\/span>\u3002\u63a5\u7740\u8003\u5bdf\u96c6\u5408II<\/span>\u4e2d\u7684\u5019\u9009\u8def\u5f84\uff0c\u5982\u679c\u5176\u4e2d\u6ca1\u6709\u5230\u8282\u70b9Y<\/span>\u7684\u8def\u5f84\uff0c\u5219\u76f4\u63a5\u628a\u8def\u5f84(V0X)Y<\/span>\u4f5c\u4e3a\u5019\u9009\u8def\u5f84\u52a0\u5165\u96c6\u5408II<\/span>\uff1b\u5982\u679c\u96c6\u5408II<\/span>\u4e2d\u5df2\u7ecf\u6709\u5230\u8282\u70b9Y<\/span>\u7684\u8def\u5f84\uff0c\u5219\u8fdb\u884c\u6bd4\u8f83\uff0c\u5982\u679c\u8fd9\u6761\u8def\u5f84\u503c\u5c0f\u4e8e\u6216\u7b49\u4e8e\u8def\u5f84\u00a0(V0X)Y<\/span>\u7684\u8def\u5f84\u503c\uff0c\u90a3\u4e48\u8def\u5f84\u00a0(V0X)Y<\/span>\u4f5c\u4e3a\u88ab\u5e9f\u5f03\u7684\u8def\u5f84\u653e\u5165\u96c6\u5408III<\/span>\uff0c\u5426\u5219\u539f\u96c6\u5408II<\/span>\u4e2d\u5230Y<\/span>\u7684\u8def\u5f84\u88ab\u5e9f\u5f03\u653e\u5165\u96c6\u5408II<\/span>\uff0c\uff08V0X<\/span>\uff09Y<\/span>\u4f5c\u4e3a\u5019\u9009\u8def\u5f84\u653e\u5165\u96c6\u5408II<\/span>\u3002\u5bf9\u4e8eY<\/span>\u8282\u70b9\u6709\u591a\u4e2a\u7684\u60c5\u51b5\uff0c\u6309\u7b2c\u4e8c\u6b65\u7684\u65b9\u6cd5\u4e00\u4e2a\u4e00\u4e2a\u7684\u8ba1\u7b97\u548c\u6bd4\u8f83\u3002<\/span><\/span><\/p>

l\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>\u91cd\u590d\u7b2c\u4e00\u6b65\u548c\u7b2c\u4e8c\u6b65\uff0c\u76f4\u5230\u96c6\u5408II<\/span>\u548c\u96c6\u5408B<\/span>\u4e3a\u7a7a\u3002<\/span><\/span><\/p>

\u7b2c\u4e8c\u6b65\u4e8b\u5b9e\u4e0a\u662f\u5bf9\u5019\u9009\u8def\u5f84\u7684\u4e00\u4e2a\u91cd\u65b0\u8ba1\u7b97\u8fc7\u7a0b\uff0c\u56e0\u4e3a\u5728\u96c6\u5408A<\/span>\u4e2d\u5f15\u5165\u4e86\u65b0\u7684\u8282\u70b9\u540e\uff0c\u8003\u5bdf\u7684\u8303\u56f4\u53d8\u5927\u4e86\uff0c\u5f88\u53ef\u80fd\u5728\u539f\u6765\u8282\u70b9\u8303\u56f4\u5185\u8ba4\u4e3a\u5230\u67d0\u4e2a\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\u5df2\u7ecf\u4e0d\u518d\u662f\u6700\u77ed\u8def\u5f84\u4e86\uff0c\u8fd9\u65f6\u5019\uff0c\u9700\u8981\u6839\u636e\u7b2c\u4e8c\u6b65\u7684\u65b9\u6cd5\u8fdb\u884c\u8c03\u6574\u3002<\/span><\/p>

\u4e3a\u4e86\u8ba9\u5927\u5bb6\u66f4\u597d\u7684\u7406\u89e3\u8fd9\u4e00\u6784\u9020\u8fc7\u7a0b\uff0c\u8fd9\u91cc\u4e3e\u4e00\u4e2a\u8f83\u4e3a\u5178\u578b\u7684\u4f8b\u5b50\uff0c\u5982\u4e0b\u662f\u4e00\u4e2a\u6709\u5411\u56fe\uff1a<\/span><\/p>

<\/span><\/p>

\u8ba1\u7b97\u8fd9\u4e2a\u6709\u5411\u8fde\u901a\u56fe\u7684\u6700\u77ed\u8def\u5f84\u6811\u7684\u8fc7\u7a0b\u5982\u4e0b\uff1a<\/span><\/p>

\u00a0<\/p>

\u5019\u9009\u8def\u5f84\u96c6\u5408<\/span><\/p><\/td>

\u8def\u5f84\u957f\u5ea6<\/span><\/p><\/td>

\u6700\u77ed\u8def\u5f84\u6811\u4e2d\u7684\u8282\u70b9(<\/span>\u96c6\u5408A)<\/span><\/span><\/p><\/td>

\u6700\u77ed\u8def\u5f84\u6811<\/span><\/p><\/td>

\u8bf4\u660e<\/span><\/p><\/td><\/tr>

V0V1<\/span><\/p>

V0V2<\/span><\/p>

V0V4<\/span><\/p><\/td>

50<\/span><\/p>

10<\/span><\/p>

45<\/span><\/p><\/td>

V0<\/span><\/p><\/td>

Null<\/span><\/p><\/td>

\u5728\u521d\u59cb\u72b6\u6001\uff0c\u6700\u77ed\u8def\u5f84\u6811\u4e2d\u53ea\u6709\u8282\u70b9V0<\/span>\uff0c\u5019\u9009\u8def\u5f84\u5c31\u662fV0<\/span>\u76f4\u63a5\u76f8\u8fde\u7684\u8fb9\u4ee3\u8868\u7684\u8def\u5f84\u3002<\/span><\/p><\/td><\/tr>

V0V1<\/span><\/p>

V0V4<\/span><\/p>

V0V2V3<\/span><\/p><\/td>

50<\/span><\/p>

45<\/span><\/p>

35<\/span><\/p><\/td>

V0<\/span>\u3001V2<\/span><\/span><\/span><\/p><\/td>

V0V0<\/span><\/p>

V0V2<\/span><\/p>

\u3000<\/span><\/p><\/td>

V0V2<\/span>\u5728\u6240\u6709\u5019\u9009\u8def\u5f84\u4e2d\u6700\u77ed\uff0c\u6240\u4ee5\u653e\u5165\u6700\u77ed\u8def\u5f84\u6811\uff0cV2<\/span>\u653e\u5165\u96c6\u5408A<\/span>\u3002\u8003\u5bdf\u6240\u6709\u4ee5\u521a\u653e\u5165\u96c6\u5408A<\/span>\u7684\u8282\u70b9V2<\/span>\u4e3a\u8d77\u70b9\u7684\u8fb9\u7684\u7ec8\u70b9\uff0c\u5bf9\u5176\u4e2d\u4e0d\u5728\u96c6\u5408A<\/span>\u4e2d\u7684\u8282\u70b9\uff0c\u8fd9\u91cc\u53ea\u6709\u8282\u70b9V3<\/span>\uff0c\u8ba1\u7b97\u4eceV0<\/span>\u51fa\u53d1\u7ecf\u8282\u70b9V2<\/span>\uff0c\u5230\u8fbeV3<\/span>\u7684\u8def\u5f84V0V2V3<\/span>\u7684\u503c\uff0c\u56e0\u4e3a\u5019\u9009\u8def\u5f84\u4e2d\u6ca1\u6709\u5230V3<\/span>\u7684\u8def\u5f84\uff0c\u6240\u4ee5V0V2V3<\/span>\u8def\u5f84\u76f4\u63a5\u653e\u5165\u5019\u9009\u8def\u5f84\u96c6\u5408\u3002<\/span><\/span><\/p><\/td><\/tr>

V0V4<\/span><\/p>

V0V2V3V1<\/span><\/p><\/td>

50<\/span><\/p>

45<\/span><\/p>

45<\/span><\/p>

55<\/span><\/p><\/td>

V0<\/span>\u3001V2<\/span>\u3001V3<\/span><\/span><\/span><\/p><\/td>

V0V0<\/span><\/p>

V0V2<\/span><\/p>

V0V2V3<\/span><\/p>

\u3000<\/span><\/p><\/td>

V0V2V3<\/span>\u5728\u6240\u6709\u5019\u9009\u8def\u5f84\u4e2d\u6700\u77ed\uff0c\u6240\u4ee5\u653e\u5165\u6700\u77ed\u8def\u5f84\u6811\uff0cV3<\/span>\u653e\u5165\u96c6\u5408A<\/span>\u3002\u8003\u5bdf\u6240\u6709\u4ee5\u521a\u653e\u5165\u96c6\u5408A<\/span>\u7684\u8282\u70b9V3<\/span>\u4e3a\u8d77\u70b9\u7684\u8fb9\u7684\u7ec8\u70b9\uff0c\u5bf9\u5176\u4e2d\u4e0d\u5728\u96c6\u5408A<\/span>\u4e2d\u7684\u8282\u70b9\uff0c\u8fd9\u91cc\u662f\u8282\u70b9V1<\/span>\uff0cV4<\/span>\uff0c\u8ba1\u7b97\u4eceV0<\/span>\u51fa\u53d1\u7ecf\u8282\u70b9V3<\/span>\uff0c\u5230\u8fbe\u8fd9\u4e24\u4e2a\u8282\u70b9\u7684\u8def\u5f84V0V2V3V1<\/span>\u548cV0V2V3V4<\/span>\u7684\u8def\u5f84\u503c\uff0c\u5e76\u548c\u5019\u9009\u8def\u5f84\u4e2d\u5df2\u6709\u7684\u5230\u8fbeV1<\/span>\u3001V4<\/span>\u7684\u8def\u5f84\u503c\u8fdb\u884c\u6bd4\u8f83\uff1aV0V2V3V1<\/span>\u5c0f\u4e8eV0V1<\/span>\uff0c\u6240\u4ee5V0V1<\/span>\u4ece\u5019\u9009\u8def\u5f84\u4e2d\u5220\u9664\uff0cV0V2V3V1<\/span>\u653e\u5165\u5019\u9009\u8def\u5f84\u96c6\u5408\uff1bV0V2V3V4<\/span>\u6bd4V0V4<\/span>\u5927\uff0c\u6240\u4ee5V0V4<\/span>\u5728\u5019\u9009\u8def\u5f84\u4e2d\u4fdd\u7559\uff0cV0V2V3V4<\/span>\u8def\u5f84\u5e9f\u5f03\u4e0d\u7528\u3002<\/span><\/span><\/p><\/td><\/tr>

V0V2V3V1<\/span><\/p>

\u3000<\/span><\/p>

\u3000<\/span><\/p>

\u3000<\/span><\/p><\/td>

45<\/span><\/p>

\u3000<\/span><\/p>

\u3000<\/span><\/p>

\u3000<\/span><\/p><\/td>

V0<\/span>\u3001V2<\/span>\u3001V3<\/span>\u3001V4<\/span><\/span><\/span><\/p><\/td>

V0V0<\/span><\/p>

V0V2<\/span><\/p>

V0V2V3<\/span><\/p>

V0V4<\/span><\/p><\/td>

V0V4<\/span>\u548cV0V2V3V1<\/span>\u8def\u5f84\u503c\u76f8\u7b49\uff0c\u4efb\u610f\u9009\u62e9V0V4<\/span>\u653e\u5165\u6700\u77ed\u8def\u5f84\u6811\uff0cV4<\/span>\u653e\u5165\u96c6\u5408A<\/span>\u3002\u8003\u5bdf\u6240\u6709\u4ee5\u521a\u653e\u5165\u96c6\u5408A<\/span>\u7684\u8282\u70b9V4<\/span>\u4e3a\u8d77\u70b9\u7684\u8fb9\u7684\u7ec8\u70b9\uff0c\u5176\u4e2d\u4e0d\u5728\u96c6\u5408A<\/span>\u4e2d\u7684\u8282\u70b9\u6ca1\u6709\uff08\u867d\u7136\u6709\u8fb9V4V3<\/span>\uff0c\u4f46V3<\/span>\u5df2\u7ecf\u5728\u96c6\u5408A<\/span>\u4e2d\u4e86\uff09\uff0c\u6240\u4ee5\u4e0d\u8fdb\u884c\u9009\u62e9\u548c\u8ba1\u7b97\u3002<\/span><\/span><\/p><\/td><\/tr>

\u3000<\/span><\/p>

\u3000<\/span><\/p>

\u3000<\/span><\/p>

\u3000<\/span><\/p>

\u3000<\/span><\/p><\/td>

\u3000<\/span><\/p>

\u3000<\/span><\/p>

\u3000<\/span><\/p>

\u3000<\/span><\/p>

\u3000<\/span><\/p><\/td>

V0<\/span>\u3001V2<\/span>\u3001V3<\/span>\u3001V4<\/span>\u3001V1<\/span><\/span><\/span><\/p><\/td>

V0V0<\/span><\/p>

V0V2<\/span><\/p>

V0V2V3<\/span><\/p>

V0V4<\/span><\/p>

V0V2V3V1<\/span><\/p><\/td>

\u5019\u9009\u8def\u5f84V0V2V3V1<\/span>\u653e\u5165\u6700\u77ed\u8def\u5f84\u6811\uff0c\u8fd9\u65f6\u5019\u9009\u8def\u5f84\u96c6\u5408\u4e3a\u7a7a\uff0c\u5e76\u4e14\u6240\u6709\u8282\u70b9\u5df2\u7ecf\u653e\u5165\u4e86\u96c6\u5408A<\/span>\u3002\u8ba1\u7b97\u7ed3\u675f\u3002<\/span><\/p><\/td><\/tr><\/tbody><\/table>

\u00a0<\/p>

2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>Dijkstra<\/span>\u7b97\u6cd5\u7684\u8bc1\u660e<\/span><\/span><\/h1>

\u5bf9Dijkstra<\/span>\u7b97\u6cd5\u8fdb\u884c\u8bc1\u660e\uff0c\u5b9e\u9645\u4e0a\u5c31\u662f\u8981\u8bc1\u660e\u5176\u6784\u9020\u8fc7\u7a0b\u6784\u9020\u7684\u6811\u4e00\u5b9a\u662f\u6700\u77ed\u8def\u5f84\u6811\u3002\u4e3a\u4e86\u7ed9\u51fa\u8bc1\u660e\uff0c\u6211\u4eec\u5148\u5206\u6790\u4e00\u4e0b\u6784\u9020\u8fc7\u7a0b\u3002<\/span><\/p>

\u5206\u6790\u6784\u9020\u8fc7\u7a0b\u7684\u7b2c\u4e8c\u6b65\uff0c\u53ef\u4ee5\u5f97\u51fa\u7ed3\u8bba\u4e00<\/b>\u3002<\/span><\/p>

\u7ed3\u8bba\u4e00<\/span><\/b>\uff1a\u5bf9\u4e00\u4e2a\u8fd8\u6ca1\u6709\u9009\u5165\u96c6\u5408A<\/span>\u7684\u8282\u70b9Y<\/span>\uff0c\u5176\u5019\u9009\u8def\u5f84\u662f\u6240\u6709\u4eceV0<\/span>\u51fa\u53d1\uff0c\u4e2d\u9014\u53ea\u7ecf\u8fc7\u96c6\u5408A<\/span>\u4e2d\u7684\u8282\u70b9\u5230\u8fbeY<\/span>\u7684\u8def\u5f84\u4e2d\u8def\u5f84\u503c\u6700\u5c0f\u7684<\/b>\u3002<\/span><\/span><\/p>

\u8fd9\u4e2a\u7ed3\u8bba\u6839\u636e\u7b2c\u4e8c\u6b65\u5019\u9009\u8def\u5f84\u7684\u6784\u9020\u8fc7\u7a0b\uff0c\u5f88\u5bb9\u6613\u5f97\u51fa\uff1a\u56e0\u4e3a\u5728\u7b2c\u4e00\u6b21\u6784\u9020\u5230Y<\/span>\u7684\u5019\u9009\u8def\u5f84\u65f6\uff0c\u4eceV0<\/span>\u51fa\u53d1\u7ecf\u521a\u52a0\u5165\u96c6\u5408A<\/span>\u7684\u8282\u70b9\u5230Y<\/span>\u7684\u8def\u5f84\uff0c\u662f\u88ab\u76f4\u63a5\u653e\u5165\u5019\u9009\u8def\u5f84\u96c6\u5408\u4e2d\u7684\uff0c\u8fd9\u8bf4\u660e\u7b2c\u4e00\u6b21\u6784\u9020\u7684\u5230Y<\/span>\u7684\u5019\u9009\u8def\u5f84\u6ee1\u8db3\u6761\u4ef6\u201c<\/span>\u4eceV0<\/span>\u51fa\u53d1\uff0c\u4e2d\u9014\u53ea\u7ecf\u8fc7\u96c6\u5408A<\/span>\u4e2d\u7684\u8282\u70b9\u201d<\/span>\u3002\u53e6\u5916\uff0c\u96c6\u5408A<\/span>\u4e2d\u6bcf\u52a0\u5165\u4e00\u4e2a\u65b0\u8282\u70b9\uff0c\u90fd\u4f1a\u8003\u8651\u4eceV0<\/span>\u51fa\u53d1\u7ecf\u8fc7\u8fd9\u4e2a\u65b0\u8282\u70b9\u5230\u8fbeY<\/span>\u7684\u8def\u5f84\uff0c\u5e76\u548c\u539f\u5019\u9009\u8def\u5f84\u6bd4\u8f83\uff0c\u9009\u62e9\u4e24\u8005\u4e2d\u8f83\u5c0f\u7684\u90a3\u4e2a\uff0c\u8fd9\u79cd\u8fc7\u7a0b\u4e00\u76f4\u6301\u7eed\u5230Y<\/span>\u88ab\u9009\u5165\u96c6\u5408A<\/span>\u4e2d\u4e3a\u6b62\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u663e\u7136\u4fdd\u8bc1\u4e86Y<\/span>\u7684\u5019\u9009\u8def\u5f84\u4e00\u76f4\u4fdd\u6301\u4e86\u7279\u6027\u201c<\/span>\u4eceV0<\/span>\u51fa\u53d1\uff0c\u4e2d\u9014\u53ea\u7ecf\u8fc7\u96c6\u5408A<\/span>\u4e2d\u7684\u8282\u70b9\u201d<\/span>\uff0c\u800c\u4e14\u56e0\u4e3a\u904d\u5386\u4e86\u6240\u6709A<\/span>\u4e2d\u7684\u8282\u70b9\uff0c\u6240\u4ee5\u662f\u6240\u6709\u8fd9\u79cd\u7279\u6027\u8def\u5f84\u4e2d\u6700\u77ed\u7684\u3002<\/span><\/p>

\u00a0<\/p>

\u6709\u4e86\u7ed3\u8bba\u4e00<\/b>\uff0c\u8bc1\u660eDijkstra<\/span>\u7b97\u6cd5\u53ef\u4ee5\u5f31\u5316\u4e3a\u8bc1\u660e\u7ed3\u8bba\u4e8c<\/b>\u3002<\/span><\/p>

\u7ed3\u8bba\u4e8c<\/span><\/b>\uff1a\u5047\u8bbe\u6784\u9020\u8fc7\u7a0b\u4e2d\u4e0b\u4e00\u6b65\u5c06\u9009\u62e9\u7684\u662f\u8282\u70b9Y<\/span>\uff0c\u90a3\u4e48\u8fd9\u65f6\u5230\u8fbeY<\/span>\u7684\u6700\u77ed\u8def\u5f84\u5fc5\u7136\u662f\u4eceV0<\/span>\u51fa\u53d1\uff0c\u4e2d\u9014\u53ea\u7ecf\u8fc7\u96c6\u5408A<\/span>\u4e2d\u7684\u8282\u70b9\u5230\u8fbeY<\/span>\u7684\u8def\u5f84<\/b>\u3002<\/span><\/span><\/p>

\u5982\u679c\u201c<\/span>\u7ed3\u8bba\u4e8c\u201d<\/span><\/b>\u6210\u7acb\u7684\u8bdd\uff0c\u7ed3\u5408\u201c<\/span>\u7ed3\u8bba\u4e00\u201d<\/span><\/b>\uff0c\u8bf4\u660eY<\/span>\u7684\u6700\u77ed\u8def\u5f84\u548c\u5019\u9009\u8def\u5f84\u5177\u6709\u76f8\u540c\u7684\u5c5e\u6027\u201c<\/span>\u4eceV0<\/span>\u51fa\u53d1\uff0c\u53ea\u7ecf\u8fc7\u96c6\u5408A<\/span>\u4e2d\u7684\u8282\u70b9\u201d<\/span>\uff0c\u800c\u201c<\/span>\u7ed3\u8bba\u4e00\u201d<\/span><\/b>\u4e2d\u660e\u786e\u8bf4\u660e\uff0c\u5019\u9009\u8def\u5f84\u662f\u8fd9\u79cd\u5c5e\u6027\u7684\u8def\u5f84\u4e2d\u7684\u6700\u5c0f\u8005\uff0c\u6240\u4ee5\u5bf9\u4e8e\u4e0b\u4e00\u6b65\u5373\u5c06\u9009\u5165\u96c6\u5408A<\/span>\u4e2d\u7684\u8282\u70b9Y<\/span>\uff0c\u5176\u6700\u77ed\u8def\u5f84\u503c\u5c31\u662f\u5019\u9009\u8def\u5f84\uff0c\u4e5f\u5373\u8bc1\u660e\u4e86\u7b97\u6cd5\u4e2d\u6784\u9020\u6700\u77ed\u8def\u5f84\u6811\u8fc7\u7a0b\u7684\u6b63\u786e\u6027\u3002<\/span><\/p>

\u4e0b\u9762\u6211\u4eec\u8bc1\u660e\u201c<\/span>\u7ed3\u8bba\u4e8c\u201d<\/span><\/b>\u3002<\/span><\/p>

\u8bc1\u660e\u5f88\u7b80\u5355\uff0c\u4f7f\u7528\u53cd\u8bc1\u6cd5\uff1a\u5047\u8bbe\u5230\u8fbeY<\/span>\u7684\u6700\u77ed\u8def\u5f84\u4e2d\u9014\u4e0d\u53ea\u7ecf\u8fc7\u96c6\u5408A<\/span>\uff0c\u90a3\u4e48\u5fc5\u7136\u7ecf\u8fc7\u4e00\u4e2a\u4e0d\u5728\u96c6\u5408A<\/span>\u4e2d\u7684\u8282\u70b9W<\/span>\uff0c\u4e8e\u662f\u8fd9\u6761\u8def\u5f84\u4e2d\u80af\u5b9a\u5305\u542b\u4e00\u6761\u4eceV0<\/span>\u5230W<\/span>\u7684\u8def\u5f84\uff0c\u8fd9\u6761\u8def\u5f84\u663e\u7136\u6bd4\u4eceV0<\/span>\u51fa\u53d1\u7ecf\u8fc7W<\/span>\u5230Y<\/span>\u7684\u8def\u5f84\u66f4\u77ed\uff0c\u800cY<\/span>\u662f\u4e0b\u4e00\u6b65\u8981\u653e\u5165\u96c6\u5408A<\/span>\u4e2d\u7684\u8282\u70b9\uff0c\u6839\u636e\u6211\u4eec\u6309\u975e\u964d\u6b21\u5e8f\u6784\u9020\u6700\u77ed\u8def\u5f84\u6811\u7684\u8fc7\u7a0b\uff08\u7b2c\u4e00\u6761\u6700\u77ed\uff0c\u7b2c\u4e8c\u6761\u6b21\u77ed\u2026..<\/span>\uff09\uff0c\u4eceV0<\/span>\u51fa\u53d1\u5230W<\/span>\u7684\u8fd9\u6761\u8def\u5f84\u5e94\u8be5\u5df2\u7ecf\u5728\u6700\u77ed\u8def\u5f84\u6811\u4e2d\u4e86\uff0c\u4e5f\u5373\u8282\u70b9W<\/span>\u5e94\u8be5\u5df2\u7ecf\u5728\u96c6\u5408A<\/span>\u4e2d\uff0c\u77db\u76fe\uff0c\u5f97\u8bc1\u3002<\/span><\/p>

3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>OSPF<\/span>\u534f\u8bae\u4e2d\u5bf9Dijkstra<\/span>\u7b97\u6cd5\u7684\u4f7f\u7528<\/span><\/span><\/h1>

\u4ece\u7406\u8bba\u4e0a\u6765\u8bf4\uff0c\u53ea\u8981\u63cf\u8ff0\u6e05\u695a\u4e86\u8282\u70b9\u4e4b\u95f4\u7684\u8fde\u63a5\u548c\u8fb9\u7684\u5c5e\u6027\uff0c\u5c31\u63cf\u8ff0\u6e05\u695a\u4e86\u6709\u5411\u56fe\uff0c\u4e5f\u5c31\u53ef\u4ee5\u4f7f\u7528Dijkstra<\/span>\u7b97\u6cd5\u8ba1\u7b97\u51fa\u6700\u77ed\u8def\u5f84\u6811\u3002<\/span><\/p>

\u5bf9\u4e8e\u4f7f\u7528\u57fa\u4e8eDijkstra<\/span>\u7b97\u6cd5\u7684\u8def\u7531\u534f\u8bae\u6765\u8bf4\uff0c\u5982\u679c\u80fd\u63cf\u8ff0\u6e05\u695a\u6574\u4e2a\u7f51\u7edc\u62d3\u6251\uff08\u5bf9\u5e94\u6709\u5411\u56fe\uff09\uff0c\u5e76\u8ba9\u533a\u57df\u5185\u7684\u6bcf\u53f0\u8def\u7531\u5668\u90fd\u6e05\u695a\u7684\u77e5\u9053\u6574\u4e2a\u533a\u57df\u7684\u7f51\u7edc\u62d3\u6251\uff0c\u5219\u6bcf\u53f0\u8def\u7531\u5668\u5c31\u53ef\u4ee5\u72ec\u7acb\u7684\u8ba1\u7b97\u51fa\u6700\u77ed\u8def\u5f84\u6811\u3002\u4ece\u8fd9\u4e2a\u610f\u4e49\u4e0a\u8bf4\uff0c\u5bf9\u4e8e\u4e00\u4e2a\u4f7f\u7528Dijkstra<\/span>\u7b97\u6cd5\u7684\u8def\u7531\u534f\u8bae\u6765\u8bf4\uff0c\u9700\u8981\u89e3\u51b3\u4ee5\u4e0b\u95ee\u9898\uff1a<\/span><\/p>

l\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>\u7f51\u7edc\u62d3\u6251\u7684\u63cf\u8ff0\uff1b<\/span><\/span><\/p>

l\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>\u7f51\u7edc\u62d3\u6251\u63cf\u8ff0\u4fe1\u606f\u7684\u4f20\u64ad\uff1b<\/span><\/span><\/p>

l\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>\u6548\u7387\uff1a\u5728\u8017\u8d39\u6700\u5c11\u8d44\u6e90\uff08\u5e26\u5bbd\u3001\u5185\u5b58\u3001CPU<\/span>\uff09\u7684\u60c5\u51b5\u4e0b\uff0c\u6700\u77ed\u65f6\u95f4\u5185\u52a8\u6001\u8ba1\u7b97\u5230\u5176\u4ed6\u7f51\u6bb5\u7684\u6700\u4f18\u8def\u5f84\u3002<\/span><\/span><\/p>

\u5176\u4ed6\u9700\u8981\u8003\u8651\u7684\u95ee\u9898\u8fd8\u5305\u62ec\uff0c\u8def\u7531\u534f\u8bae\u7684\u5b9a\u4f4d\uff08IGP<\/span>\u8fd8\u662fEGP<\/span>\uff1f\u7528\u4e8e\u591a\u5927\u7f51\u7edc\uff1f\uff09\uff0c\u8def\u7531\u534f\u8bae\u7684\u9c81\u68d2\u6027\uff0c\u4e0e\u5176\u4ed6\u8def\u7531\u534f\u8bae\u67d0\u79cd\u7a0b\u5ea6\u7684\u4e92\u64cd\u4f5c\u7b49\u3002<\/span><\/p>

\u4ee5\u4e0a\u51e0\u4e2a\u95ee\u9898\u6709\u4e00\u5b9a\u7684\u76f8\u5173\u6027\uff0c\u4e92\u76f8\u5f71\u54cd\u3002\u4f8b\u5982\uff0c\u7f51\u7edc\u62d3\u6251\u63cf\u8ff0\u7684\u4f18\u5316\u53ef\u4ee5\u51cf\u5c11\u63cf\u8ff0\u4fe1\u606f\uff0c\u4ece\u800c\u51cf\u8f7b\u4f20\u64ad\u548c\u8ba1\u7b97\u8fc7\u7a0b\u7684\u6d88\u8017\uff0c\u63d0\u9ad8\u6548\u7387\u3002<\/span><\/p>

\u672c\u6587\u7684\u7740\u529b\u70b9\u662fDijkstra<\/span>\u7b97\u6cd5\u53ca\u5176\u5728OSPF<\/span>\u4e2d\u7684\u5e94\u7528\uff0c\u6240\u4ee5\u8fd9\u91cc\u53ea\u8bf4\u660e\u4e0e\u4e4b\u76f8\u5173\u7684\u7f51\u7edc\u62d3\u6251\u7684\u63cf\u8ff0\u548c\u6700\u77ed\u8def\u5f84\u8ba1\u7b97\u4e24\u4e2a\u5185\u5bb9\uff0c\u7f51\u7edc\u62d3\u6251\u7684\u63cf\u8ff0\u4e5f\u53ea\u6d89\u53ca\u7684\u51e0\u7c7b\u57fa\u672cLSA<\/span>\u3002<\/span><\/p>

3.1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>OSPF<\/span>\u5bf9\u7f51\u7edc\u62d3\u6251\u7684\u63cf\u8ff0<\/span><\/span><\/h2>

OSPF<\/span>\u4e2d\u4f7f\u7528\u94fe\u8def\u72b6\u6001\u901a\u544a\uff08LSA<\/span>\uff09\u6765\u63cf\u8ff0\u7f51\u7edc\u62d3\u6251\uff08\u5373\u6709\u5411\u56fe\uff09\u3002<\/span><\/span><\/p>

OSPF<\/span>\u4e2d\uff0cRouter LSA<\/span>\u88ab\u7528\u6765\u63cf\u8ff0\u8def\u7531\u5668\uff08\u8282\u70b9\uff09\u4e4b\u95f4\u7684\u8fde\u63a5\u548c\u94fe\u8def\uff08\u8fb9\uff09\u7684\u5c5e\u6027\uff0c\u5177\u5907\u4e86\u7406\u8bba\u4e0a\u8ba1\u7b97\u6700\u77ed\u8def\u5f84\u7684\u53ef\u80fd\u3002\u4f46\u662f\u4ec5\u4ec5\u662f\u7406\u8bba\u800c\u5df2\uff0c\u4ece\u5b9e\u8df5\u7684\u89d2\u5ea6\uff0c\u9488\u5bf9\u7279\u6b8a\u7684\u7f51\u7edc\u60c5\u51b5\u548c\u5e94\u7528\u573a\u666f\uff0c\u9700\u8981\u4f5c\u4e00\u4e9b\u4f18\u5316\u5de5\u4f5c\u3002<\/span><\/span><\/p>

\u5148\u8003\u8651\u4e00\u4e2a\u6709n<\/span>\u4e2a\u8282\u70b9\u7684\u5e7f\u64ad\u7f51\uff0c\u5982\u679c\u4f7f\u7528Router LSA<\/span>\u6765\u63cf\u8ff0\u7684\u8bdd\uff0c\u9700\u8981\u63cf\u8ff0n<\/span>\u4e2a\u8282\u70b9\u4e24\u4e24\u76f8\u8fde\u7684n*(n-1)\/2<\/span>\u6761\u94fe\u8def\uff0c\u800c\u4e14n<\/span>\u4e2a\u8282\u70b9\u95f4\u9700\u8981\u5efa\u7acb\u5efa\u7acbn*(n-1)\/2<\/span>\u4e2a\u90bb\u63a5\u5173\u7cfb\uff0c\u63cf\u8ff0\u4fe1\u606f\u9700\u8981\u5728\u8fd9\u4e9b\u5efa\u7acb\u4e86\u90bb\u63a5\u5173\u7cfb\u7684\u8282\u70b9\u95f4\u4f20\u64ad\uff0c\u4f1a\u6d88\u8017\u5927\u91cf\u8d44\u6e90\u3002\u5982\u679c\u6362\u4e00\u79cd\u601d\u8def\uff0c\u6211\u4eec\u628a\u8fd9\u4e2a\u5e7f\u64ad\u7f51\u865a\u6784\u6210\u4e00\u4e2a\u4f2a\u8282\u70b9\uff0c\u5176\u4ed6n<\/span>\u4e2a\u8282\u70b9\u5747\u548c\u4f2a\u8282\u70b9\u76f8\u8fde\uff0c\u90a3\u4e48\u5c31\u53ea\u8981\u63cf\u8ff0n<\/span>\u6761\u94fe\u8def\uff0cn<\/span>\u4e2a\u8282\u70b9\u53ea\u9700\u8981\u548c\u4f2a\u8282\u70b9\u5efa\u7acb\u603b\u5171n<\/span>\u4e2a\u90bb\u63a5\u5173\u7cfb\u5373\u53ef\uff0c\u80fd\u5927\u5927\u51cf\u5c11\u4fe1\u606f\u63cf\u8ff0\u91cf\u548c\u4fe1\u606f\u4f20\u64ad\u91cf\u3002\u6839\u636e\u8fd9\u4e2a\u601d\u8def\uff0cOSPF<\/span>\u4e2d\u9488\u5bf9\u5e7f\u64ad\u7f51\u7684\u63cf\u8ff0\u8fdb\u884c\u4e86\u4f18\u5316\uff0c\u4f7f\u7528\u6307\u5b9a\u8def\u7531\u5668DR<\/span>\u6765\u627f\u62c5\u8fd9\u4e2a\u4f2a\u8282\u70b9\u7684\u89d2\u8272\uff0c\u5e76\u4f7f\u7528Network\u00a0 LSA<\/span>\u6765\u63cf\u8ff0\u5e7f\u64ad\u7f51\u5185DR<\/span>\u548c\u5404\u4e2a\u8def\u7531\u5668\u7684\u8fde\u63a5\u60c5\u51b5\u3002<\/span><\/p>

\u5bf9\u4e8eNBMA<\/span>\u7f51\u7edc\u7684\u63cf\u8ff0\uff0c\u5904\u7406\u65b9\u5f0f\u548c\u5e7f\u64ad\u7f51\u57fa\u672c\u76f8\u540c\u3002<\/span><\/p>

\u5176\u6b21\uff0cOSPF<\/span>\u7684\u8bbe\u8ba1\u76ee\u6807\u662f\u4e3a\u4e00\u4e2a\u8f83\u5927\u7684\u5185\u90e8\u7f51\u7edc\u63d0\u4f9b\u52a8\u6001\u8def\u7531\u80fd\u529b\u3002\u5982\u679c\u5185\u90e8\u7f51\u7edc\u8f83\u5927\u7684\u8bdd\uff0c\u9700\u8981\u63cf\u8ff0\u7684\u94fe\u8def\u4f1a\u5f88\u591a\uff0c\u5b58\u50a8\u3001\u4f20\u64ad\u548c\u8ba1\u7b97\u8fd9\u4e9b\u94fe\u8def\u4fe1\u606f\u5c06\u8017\u8d39\u5927\u91cf\u5e26\u5bbd\u3001\u5185\u5b58\u548cCPU<\/span>\u8d44\u6e90\u3002OSPF<\/span>\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u7684\u529e\u6cd5\u662f\u628a\u8f83\u5927\u7684\u7f51\u7edc\u5212\u5206\u6210\u591a\u4e2aArea<\/span>\uff0c\u6bcf\u4e2aArea<\/span>\u5185\u90e8\u4f7f\u7528Router LSA<\/span>\u548cNetwork LSA<\/span>\u628aArea<\/span>\u5185\u90e8\u7f51\u7edc\u62d3\u6251\u63cf\u8ff0\u6e05\u695a\uff0c\u5e76\u636e\u6b64\u4f7f\u7528Dijkstra<\/span>\u7b97\u6cd5\u8ba1\u7b97\u51fa\u672cArea<\/span>\u5185\u7684\u6700\u77ed\u8def\u5f84\u6811\u548c\u8def\u7531\u3002\u81f3\u4e8eArea<\/span>\u5916\u7684\u7f51\u7edc\u62d3\u6251\uff0c\u533a\u57df\u8fb9\u754c\u8def\u7531\u5668ABR<\/span>\u5e76\u4e0d\u628a\u76f8\u90bbArea<\/span>\u7684Router LSA<\/span>\u548cNetwork LSA<\/span>\u4f20\u5165\u672cArea<\/span>\uff0c\u800c\u662f\u628a\u81ea\u5df1\u5728\u76f8\u90bbArea<\/span>\u8303\u56f4\u5185\u8ba1\u7b97\u5f97\u5230\u7684\u5404\u4e2a\u7f51\u6bb5\u7684\u8def\u7531\u8fdb\u884c\u6c47\u603b\uff0c\u628a\u8fd9\u4e9b\u7f51\u6bb5\u5f53\u505a\u76f4\u63a5\u8fde\u63a5\u5728\u81ea\u5df1\u4e0a\u9762\uff0c\u5e76\u751f\u6210Network Summary LSA<\/span>\u6765\u5bf9\u8fd9\u4e9b\u7f51\u6bb5\u8fdb\u884c\u63cf\u8ff0\uff0c\u4f20\u5165\u672cArea<\/span>\u3002\u8fd9\u6837\uff0c\u5bf9\u4e8e\u4e00\u4e2a\u6709n<\/span>\u4e2a\u7f51\u6bb5\u548c\u591a\u53f0\u8def\u7531\u5668\u7684\u76f8\u90bbArea<\/span>\uff0cABR<\/span>\u53ea\u9700\u8981\u751f\u6210n<\/span>\u6761\u7f51\u7edc\u63cf\u8ff0\u4fe1\u606f\u5e76\u4f20\u5165\u672cArea<\/span>\u5373\u53ef\uff0c\u5927\u5927\u51cf\u5c11\u4e86\u8fdb\u5165\u672cArea<\/span>\u7684\u94fe\u8def\u63cf\u8ff0\u4fe1\u606f\uff0c\u51cf\u5c11\u4e86\u5b58\u50a8\u3001\u4f20\u64ad\u548c\u8ba1\u7b97\u6d88\u8017\u3002\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u5212\u5206Area<\/span>\u7684\u505a\u6cd5\u5bfc\u81f4\u4e86Area<\/span>\u5185\u90e8\u8def\u7531\u5668\u4e2d\u7684\u94fe\u8def\u72b6\u6001\u6570\u636e\u5e93\u63cf\u8ff0\u7684Area<\/span>\u5916\u90e8\u5206\u5e76\u4e0d\u662f\u771f\u5b9e\u7684\u7f51\u7edc\u62d3\u6251\uff0c\u4ece\u800c\u8ba1\u7b97\u65f6\u53ef\u80fd\u51fa\u73b0\u73af\u8def\uff0c\u4e3a\u4e86\u907f\u514d\u73af\u8def\u51fa\u73b0\uff0c\u8981\u6c42\u6240\u6709\u7684Area<\/span>\u4e4b\u95f4\u7684\u76f8\u8fde\u5fc5\u987b\u7ecf\u8fc7Backbone<\/span>\u533a\u57df\u5373Area 0<\/span>\u3002<\/span><\/p>

\u53e6\u5916\uff0cOSPF<\/span>\u88ab\u8bbe\u8ba1\u4e3a\u4e00\u4e2aIGP<\/span>\uff0c\u9664\u4e86\u5904\u7406\u672c\u81ea\u6cbb\u7cfb\u7edf\u5185\u7684\u8def\u7531\u5916\uff0c\u8fd8\u9700\u8981\u5904\u7406\u81ea\u6cbb\u7cfb\u7edf\u5916\u7684\u8def\u7531\uff0c\u8fd9\u7c7b\u8def\u7531\u5728ASBR<\/span>\u5904\u5f15\u5165\uff0c\u53ef\u4ee5\u770b\u505a\u662f\u76f4\u63a5\u8fde\u63a5\u5728ASBR<\/span>\u4e0a\uff0cOSPF<\/span>\u5f15\u5165AS External LSA<\/span>\u6765\u63cf\u8ff0\u8fd9\u7c7b\u81ea\u6cbb\u7cfb\u7edf\u5916\u8def\u7531\u3002\u53e6\u5916\uff0c\u56e0\u4e3aAS External LSA<\/span>\u5728\u4f20\u5165\u5176\u4ed6Area<\/span>\u65f6\u5e76\u4e0d\u5728ABR<\/span>\u4e0a\u91cd\u65b0\u751f\u6210\uff0c\u6240\u4ee5\u4ece\u8ba1\u7b97\u7684\u89d2\u5ea6\u770b\uff0c\u5176\u4ed6Area<\/span>\u8fd8\u5fc5\u987b\u77e5\u9053\u81ea\u6cbb\u7cfb\u7edf\u5916\u8def\u7531\u4ece\u54ea\u4e2a\u8282\u70b9\u5f15\u5165\uff0c\u6240\u4ee5\u9700\u8981\u5f15\u5165ASBR Summary LSA<\/span>\u6765\u63cf\u8ff0\u5916\u90e8\u8def\u7531\u4ece\u54ea\u4e2a\u8282\u70b9\u5f15\u5165\uff0cASBR Summary LSA<\/span>\u5728ABR<\/span>\u4e0a\u751f\u6210\uff0c\u4ece\u5176\u4ed6Area<\/span>\u770b\uff0c\u53ef\u4ee5\u8ba4\u4e3a\u4e8eASBR<\/span>\u76f4\u63a5\u8fde\u5728ABR<\/span>\u4e0a\uff0c\u81ea\u6cbb\u7cfb\u7edf\u5916\u90e8\u8def\u7531\u5bf9\u5e94\u7684\u7f51\u6bb5\u53c8\u76f4\u63a5\u8fde\u5728ASBR<\/span>\u4e0a\u3002<\/span><\/p>

3.2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>OSPF<\/span>\u4e2d\u6700\u77ed\u8def\u5f84\u7684\u8ba1\u7b97<\/span><\/span><\/h2>

\u4e0b\u9762\u7b80\u5355\u4ecb\u7ecd\u4e00\u4e0bOSPF<\/span>\u7684\u6700\u77ed\u8def\u5f84\u8ba1\u7b97\u8fc7\u7a0b\uff0c\u5177\u4f53\u7684\u7ec6\u8282\u5904\u7406\u8bf7\u53c2\u8003RFC2328<\/span>\uff1a<\/span><\/p>

\u9996\u5148\uff0c\u8ba1\u7b97Area<\/span>\u5185\u90e8\u8def\u7531\u3002\u56e0\u4e3aRouter LSA<\/span>\u548cNetwork LSA<\/span>\u7cbe\u786e\u7684\u63cf\u8ff0\u51fa\u4e86\u6574\u4e2aArea<\/span>\u5185\u90e8\u7684\u7f51\u7edc\u62d3\u6251\uff0c\u6240\u4ee5\u6839\u636eDijkstra<\/span>\u7b97\u6cd5\uff0c\u53ef\u4ee5\u8ba1\u7b97\u51fa\u5230\u5404\u4e2a\u8282\u70b9\uff08\u8def\u7531\u5668\uff09\u7684\u6700\u77ed\u8def\u5f84\u3002\u7136\u540e\u6839\u636eRouter LSA<\/span>\u63cf\u8ff0\u7684\u4e0e\u8def\u7531\u5668\u76f8\u8fde\u7684\u7f51\u6bb5\u60c5\u51b5\uff0c\u5c31\u5f97\u5230\u4e86\u5230\u5404\u4e2a\u7f51\u6bb5\u7684\u6700\u77ed\u8def\u5f84\u3002\u6ce8\u610f\uff0c\u8ba1\u7b97\u8fc7\u7a0b\u4e2d\uff0c\u5982\u679c\u6709\u591a\u6761\u4ee3\u4ef7\u76f8\u540c\u7684\u6700\u77ed\u8def\u5f84\uff0c\u90fd\u4fdd\u7559\u3002<\/span><\/p>

\u5176\u6b21\uff0c\u8ba1\u7b97\u8de8Area<\/span>\u7684\u8def\u7531\u3002\u56e0\u4e3a\u4ece\u4e00\u4e2aArea<\/span>\u5185\u90e8\u770b\uff0c\u76f8\u90bbArea<\/span>\u7684\u8def\u7531\u5bf9\u5e94\u7684\u7f51\u6bb5\u5c31\u597d\u50cf\u662f\u76f4\u63a5\u8fde\u5728ABR<\/span>\u4e0a\uff0c\u800c\u5230ABR<\/span>\u7684\u6700\u77ed\u8def\u5f84\u5df2\u7ecf\u5728\u4e0a\u4e00\u6b65\u7b97\u51fa\uff0c\u6240\u4ee5\u76f4\u63a5\u68c0\u67e5Nerwork Summary LSA<\/span>\uff0c\u5c31\u53ef\u4ee5\u5f88\u5bb9\u6613\u5f97\u5230\u8fd9\u4e9b\u7f51\u6bb5\u7684\u6700\u77ed\u8def\u5f84\u503c\u3002\u53e6\u5916\uff0cASBR<\/span>\u4e5f\u88ab\u770b\u505a\u662f\u76f4\u63a5\u8fde\u63a5\u5728ABR<\/span>\u4e0a\uff0c\u6240\u4ee5\u5230ASBR<\/span>\u7684\u6700\u77ed\u8def\u5f84\u4e5f\u53ef\u5728\u8fd9\u4e00\u6b65\u8ba1\u7b97\u51fa\u6765\u3002\u6ce8\u610f\uff1a\u5728\u8fd9\u4e00\u6b65\uff0c\u5982\u679c\u53d1\u8d77\u8ba1\u7b97\u7684\u8def\u7531\u5668\u662fABR<\/span>\uff0c\u90a3\u4e48\u5f88\u81ea\u7136\uff0c\u5e94\u8be5\u53ea\u8003\u8651\u9aa8\u5e72\u533a\u57df\u7684Network Summary LSA<\/span>\uff1b\u4f46\u662f\u5bf9\u4e8e\u542f\u7528\u4e86Virtual Link<\/span>\u7684\u62d3\u6251\u6765\u8bf4\uff0c\u8de8Area<\/span>\u7684\u8def\u7531\u53ea\u662f\u903b\u8f91\u4e0a\u901a\u8fc7\u9aa8\u5e72\u533a\u57df\uff0c\u800c\u5b9e\u9645\u662f\u901a\u8fc7Transit Area<\/span>\u5230\u8fbe\u7684\uff0c\u56e0\u4e3a\u903b\u8f91\u94fe\u8def\u53ef\u80fd\u5e76\u4e0d\u662f\u7269\u7406\u4e0a\u6700\u4f18\u7684\uff0c\u6240\u4ee5\u5728\u8fde\u63a5\u5230Transit Area<\/span>\u7684ABR<\/span>\u4e0a\uff0c\u8003\u5bdf\u9aa8\u5e72\u533a\u57df\u7684Network Summary LSA<\/span>\u5f97\u5230\u7684\u8de8Area<\/span>\u8def\u7531\u7684\u8def\u5f84\u53ef\u80fd\u4e0d\u6700\u4f18\uff0c\u8fd8\u9700\u8981\u8003\u5bdfTransit Area<\/span>\u7684Network Summary LSA<\/span>\uff0c\u4ee5\u5f97\u5230\u6700\u77ed\u8def\u5f84\u3002<\/span><\/p>

\u6700\u540e\uff0c\u8ba1\u7b97AS<\/span>\u5916\u90e8\u8def\u7531\uff0c\u56e0\u4e3aAS<\/span>\u5916\u90e8\u8def\u7531\u53ef\u4ee5\u770b\u505a\u662f\u76f4\u63a5\u8fde\u63a5\u5728ASBR<\/span>\u4e0a\uff0c\u800c\u5230ASBR<\/span>\u7684\u6700\u77ed\u8def\u5f84\u5728\u4e0a\u4e00\u6b65\u5df2\u7ecf\u8ba1\u7b97\u51fa\u6765\uff0c\u6240\u4ee5\u9010\u6761\u68c0\u67e5AS External LSA<\/span>\u5c31\u53ef\u4ee5\u5f97\u5230\u5230\u5404\u4e2a\u5916\u90e8\u7f51\u7edc\u7684\u6700\u77ed\u8def\u5f84\u3002<\/span><\/p>

3.3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span><\/span>\u4e0b\u4e00\u8df3\u548c\u51fa\u63a5\u53e3<\/span><\/span><\/h2>

\u8def\u7531\u8868\u4e2d\u8fd8\u6709\u4e24\u4e2a\u91cd\u8981\u5143\u7d20\uff1a\u4e0b\u4e00\u8df3\u548c\u51fa\u63a5\u53e3\u3002\u56e0\u4e3a\u786e\u5b9a\u8fd9\u4e24\u4e2a\u5143\u7d20\u548c\u8ba1\u7b97\u8fc7\u7a0b\u6709\u4e00\u5b9a\u5173\u7cfb\uff0c\u8fd9\u91cc\u4e5f\u63d0\u4e00\u4e0b\u3002<\/span><\/p>

\u5176\u5b9e\uff0c\u4e00\u4e2a\u7b80\u5355\u4e8b\u5b9e\u662f\uff0c\u5bf9\u4e8e\u4efb\u4f55\u4e00\u6761\u8def\u5f84\u6765\u8bf4\uff0c\u5176\u4e0b\u4e00\u8df3\u548c\u51fa\u63a5\u53e3\uff0c\u5fc5\u7136\u548c\u4ed6\u7684\u7236\u8def\u5f84\u7684\u4e0b\u4e00\u8df3\u548c\u51fa\u63a5\u53e3\u76f8\u540c\u3002\u56e0\u6b64\uff0c\u786e\u5b9a\u6240\u6709\u8def\u5f84\u7684\u4e0b\u4e00\u8df3\u548c\u51fa\u63a5\u53e3\uff0c\u6700\u540e\u53ef\u4ee5\u5f52\u7ed3\u4e3a\u786e\u5b9a\u5230\u201c<\/span>\u548cV0<\/span>\u76f4\u63a5\u76f8\u8fde\u7684\u8282\u70b9\u201d<\/span>\u7684\u4e0b\u4e00\u8df3\u548c\u51fa\u63a5\u53e3\u3002\u5bf9\u4e8eOSPF<\/span>\u6765\u8bf4\uff0c\u201c<\/span>\u548cV0<\/span>\u76f4\u63a5\u76f8\u8fde\u7684\u8282\u70b9\u201d<\/span>\u8981\u4e48\u662f\u4e00\u53f0\u8def\u7531\u5668\uff0c\u8981\u4e48\u662f\u4e00\u4e2a\u4f2a\u8282\u70b9\uff08\u5e7f\u64ad\u7f51\u3001NBMA<\/span>\u7f51\u7edc\u4e2d\u4f7f\u7528\u4e86DR<\/span>\u6a21\u62df\u4f2a\u8282\u70b9\uff09\u3002<\/span><\/p>

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