\u52a8\u6001\u89c4\u5212
\u4f60\u8ffd\u4e00\u4e2aMM\u7684\u65f6\u5019\uff0c\u9700\u8981\u5bf9\u8be5MM\u8eab\u8fb9\u7684\u5404\u95fa\u4e2d\u5bc6\u53cb\u90fd\u597d\uff0c\u8fd9\u6837\u4f60\u8ffdMM\u8fd9\u4e2a\u95ee\u9898\u5c31\u5206\u89e3\u4e3a\u5bf9\u5176MM\u670b\u53cb\u7684\u95ee\u9898\uff0c\u53ea\u6709\u628a\u8fd9\u4e9b\u95ee\u9898\u90fd\u89e3\u51b3\u4e86\uff0c\u6700\u7ec8\u4f60\u624d\u80fd\u8ffd\u5230MM\u3002 <\/p>\n
\u8be5\u65b9\u6cd5\u9002\u7528\u4e8e\u806a\u660e\u7684MM\uff0c\u61c2\u5f97“\u770b\u4e00\u4e2a\u4eba\uff0c\u4e0d\u662f\u770b\u4ed6\u5982\u4f55\u5bf9\u4f60\uff0c\u800c\u662f\u770b\u4ed6\u5982\u4f55\u5bf9\u4ed6\u4eba\u3002”\u7684\u9053\u7406\uff0c\u5e76\u4e14\u5bf9\u4ed8\u8fd9\u6837\u7684MM\u603b\u80fd\u5f97\u5230\u6700\u4f18\u89e3\u3002 <\/p>\n
\u8be5\u65b9\u6cd5\u7684\u7f3a\u70b9\u662f\u5f00\u9500\u8f83\u5927\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u5b50\u95ee\u9898\u90fd\u8981\u597d\u597d\u5bf9\u5f85\u3002\u3002\u3002\u3002
——————————————————————– <\/p>\n
\u8d2a\u5fc3\u6cd5
\u4f60\u8ffd\u4e00\u4e2aMM\u7684\u65f6\u5019\uff0c\u4ece\u76f8\u8bc6\u5230\u76f8\u77e5\uff0c\u6bcf\u6b21\u90fd\u91c7\u7528\u6700aggressive\u7684\u65b9\u5f0f\uff0c\u8fdb\u653b\u8fdb\u653b\u518d\u8fdb\u653b\uff01\u4ece\u4e0d\u91c7\u7528\u8fc2\u56de\u6218\u672f\u6216\u662f\u6b32\u64d2\u6545\u7eb5\u4e4b\u6cd5\uff01\u76ee\u6807\u662f\u4ee5\u6700\u5feb\u7684\u901f\u5ea6\u786e\u7acb\u4e24\u4eba\u5173\u7cfb\u3002
\u8be5\u6cd5\u4f18\u70b9\u662f\u4ee3\u4ef7\u5c0f\uff0c\u901f\u5ea6\u5feb\uff0c\u4f46\u7f3a\u70b9\u662f\u4e0d\u662f\u6bcf\u6b21\u90fd\u80fd\u5f97\u5230\u6700\u4f18\u89e3\u3002\u3002\u3002\u3002\u3002
——————————————————————– <\/p>\n
\u56de\u6eaf\u7b97\u6cd5
\u8ffd\u4e00\u4e2aMM\uff0c\u4f46\u4e5f\u8bb8\u4f60\u8fd8\u662f\u60c5\u7aa6\u521d\u5f00\u7684\u65b0\u624b\uff0c\u4e0d\u77e5\u9053\u5982\u4f55\u624d\u80fd\u8ba8\u5f97MM\u7684\u6b22\u5fc3\uff0c\u4e8e\u662f\u4f60\u53ea\u597d\u4e00\u6761\u8def\u4e00\u6761\u8def\u7684\u8bd5\uff0cMM\u4e0d\u5f00\u5fc3\u4e86\uff0c\u4f60\u5c31\u56de\u6eaf\u56de\u53bb\u6362\u53e6\u4e00\u79cd\u65b9\u5f0f\u3002\u5f53\u7136\u5176 \u95f4\u4f60\u4e5f\u8bb8\u4f1a\u4ece\u67d0\u4e9b\u9014\u5f84\u5f97\u5230\u4e00\u4e9b\u7ecf\u9a8c\uff0c\u80fd\u591f\u5224\u65ad\u54ea\u4e9b\u8def\u5f84\u4e0d\u597d\uff0c\u4f1a\u526a\u679d\uff08\u8fd9\u5c31\u662f\u5206\u652f\u4f30\u754c\u4e86\uff09\u3002\u4f60\u4e5f\u53ef\u4ee5\u968f\u673a\u9009\u62e9\u4e00\u4e9b\u8def\u5f84\u6765\u5b9e\u65bd\uff0c\u8bf4\u4e0d\u5b9a\u80fd\u7acb\u6746\u89c1\u5f71\uff08\u8fd9\u5c31\u662f\u56de\u6eaf \u7684\u4f18\u5316\u4e86\uff09\u4f46\u603b\u7684\u6765\u8bf4\uff0c\u4f60\u90fd\u9700\u8981\u4e00\u573a\u6301\u4e45\u6218\u3002\u3002\u3002\u3002
\u8be5\u7b97\u6cd5\u4e00\u822c\u4e5f\u80fd\u5f97\u5230\u6700\u4f18\u89e3\uff0c\u56e0\u4e3a\u5927\u591a\u6570MM\u4f1a\u611f\u52a8\u6ef4\uff01\uff01\u4f46\u5176\u7f3a\u70b9\u662f\u5f00\u9500\u5927\uff01\u9664\u975e\u4f60\u662f\u975e\u8981\u8c08\u4e00\u573a\u604b\u7231\u4e0d\u53ef\uff0c\u5426\u5219\u4e0d\u63a8\u8350\u4f7f\u7528\u3002\u7279\u522b\u662f\u4f60\u53ef\u80fd\u8fd8\u6709\u8bb8\u591a\u5176\u4ed6\u7684\u4e8b\u60c5\u8981\u505a\uff0c\u6bd4\u5982\u5b66\u4e60\uff0c\u6bd4\u5982\u4e8b\u4e1a\u3002\u3002\u3002\u3002
——————————————————————– <\/p>\n
NP\u5b8c\u5168\u95ee\u9898
\u5475\u5475\uff0c\u90a3\u4f60\u4e3a\u4ec0\u4e48\u90a3\u4e48\u8d31\uff0c\u975e\u8981\u53bb\u8ffd\u5462\uff1f\u8bb0\u4f4f\uff1a“\u5929\u6daf\u4f55\u5904\u65e0\u82b3\u8349\uff01” \u4e0d\u8fc7\u5982\u679c\u4f60“\u975e\u5982\u6b64\u4e0d\u53ef”\u7684\u8bdd\uff0c\u5efa\u8bae\u5347\u7ea7\u4f60\u7684\u786c\u4ef6\uff0c\u597d\u597d\u5b66\u4e60\uff0c\u597d\u597d\u5de5\u4f5c\uff0c\u52a0\u5f3a\u5b9e\u529b\uff0c\u4eba\u5230\u4e2d\u5e74\u7684\u65f6\u5019\u4e5f\u8bb8\u4f60\u80fd\u89e3\u5f00NP\u96be\u3002\u3002\u3002\u3002 <\/p>\n
\u8865\u5145NP\uff1a\u5728\u4f60\u8ffd\u4e86\u82e5\u5e72\u7f8e\u5973\u90fd\u5931\u8d25\u544a\u7ec8\u540e\uff0c\u4f60\u53d1\u73b0\u6709\u4e00\u6279\u7f8e\u5973\u8ffd\u8d77\u6765\u662f\u4e00\u6837\u56f0\u96be\u7684\uff0c\u5982\u679c\u4f60\u80fd\u8ffd\u5230\u5176\u4e2d\u4efb\u4f55\u4e00\u4e2a\u5c31\u80fd\u8ffd\u5230\u5176\u4ed6\u6240\u6709\u7684\u7f8e\u5973\uff0c\u4f60\u628a\u8fd9\u6837\u7684\u5973\u4eba\u53eb\u4f5cNP-Complete\u3002
P=NP\uff1a\u8fd9\u662f\u4e00\u4e2a\u7f8e\u597d\u7684\u731c\u60f3\uff0c\u8ffd\u7f8e\u5973\u548c\u6050\u9f99\u7684\u96be\u5ea6\u5176\u5b9e\u4e00\u6837\u3002
APX\u4e0eRandom\uff1aNP\u7684\u7f8e\u5973\u96be\u8ffd\uff0c\u4f60\u65e0\u6cd5\u5b8c\u5168\u5360\u6709\u5979\u3002\u4f60\u53ea\u597d\u968f\u673a\u7684\u53bb\u9760\u8fd1\u5979\uff0c\u88c5\u4f5c\u82e5\u65e0\u5176\u4e8b\uff1b\u6216\u8005\u7528\u4e00\u79cd\u7b56\u7565\uff0c\u8ffd\u5230\u5979\u7684\u4e00\u4e2aapproximation ratio\uff0c\u4f8b\u598250%\u3002
APX-hard\uff1a\u8fd9\u6837\u7684\u5973\u4eba\uff0c\u8fde\u4e00\u4e2a\u56fa\u5b9a\u7684\u767e\u5206\u6bd4\u90fd\u4e0d\u7ed9\u4f60\uff0c\u8fd8\u662f\u53e6\u8c0b\u9ad8\u5c31\u5427\u3002
\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/ <\/p>\n
\u6df1\u5ea6\u4f18\u5148\u548c\u5e7f\u5ea6\u4f18\u5148\uff1a
\u6df1\u5ea6\u4f18\u5148\u5c31\u662f\u8ffd\u4e00\u4e2amm\u8ffd\u5230\u5e95\uff0c\u76f4\u5230\u5931\u8d25\u7136\u540e\u6362\u4e2amm\u7ee7\u7eed\u8ffd\u2026\u2026
\u5e7f\u5ea6\u4f18\u5148\u5c31\u662f\u540c\u65f6\u8ffd\u591a\u4e2amm\uff0c\u4e00\u8d77\u53d1\u5c55\u2026\u2026
\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/ <\/p>\n
\u4e8c\u53c9\u6811\u7684\u524d\u5e8f\u3001\u4e2d\u5e8f\u548c\u540e\u5e8f\u904d\u5386\uff1a
\u524d\u5e8f\u5c31\u662f\u76f4\u63a5\u641e\u5b9aMM\uff0c\u7136\u540e\u641e\u5b9a\u5979\u7238\u5988\uff08\u5de6\uff09\u548c\u4f60\u81ea\u5df1\u7238\u5988\uff08\u53f3\uff09
\u4e2d\u5e8f\u5c31\u662f\u5148\u641e\u5b9a\u672a\u6765\u5cb3\u7236\u5cb3\u7236\uff0c\u7136\u540e\u641e\u5b9a\u5979\uff0c\u6700\u540e\u544a\u8bc9\u4f60\u7238\u5988
\u540e\u7eed\u5c31\u662f\uff0c\u8ba9\u672a\u6765\u7684\u5cb3\u7236\u5cb3\u6bcd\u548c\u81ea\u5df1\u7238\u5988\u90fd\u89c9\u5f97\u4f60\u4eec\u5408\u9002\u4e4b\u540e\uff0c\u624d\u5bf9MM\u4e0b\u624b\uff0c\u8fd9\u4e2a\u65f6\u5019\u5c31\u6ca1\u6709\u969c\u788d\u4e86\u554a
\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/ <\/p>\n
\u7f51\u7edc\u6d41
\u8ffdMM\u7684\u65f6\u5019\u603b\u907f\u514d\u4e0d\u4e86\u9001\u793c\u7269\uff0c\u4f46\u662f\u4f60\u8001\u662f\u76f4\u63a5\u9001\u793c\u7269\u5c31\u4f1a\u7ed9MM\u9020\u6210\u5f88\u5927\u7684\u538b\u529b\uff0c\u4e8e\u662f\u4f60\u5c31\u60f3\u5230\u4e86\u901a\u8fc7\u670b\u53cb\u6765\u8f6c\u9001\u7684\u65b9\u6cd5\u3002\u4f60\u5e0c\u671b\u9001\u7ed9MM\u5c3d\u53ef\u80fd\u591a\u7684\u793c \u7269\uff0c\u6240\u4ee5\u5c31\u662f\u9700\u8981\u627e\u5230\u4e00\u4e2d\u914d\u9001\u65b9\u6848\uff0c\u5c31\u662f\u6700\u5927\u6d41\u4e86\u3002\u7136\u800c\u4f60\u8bf7\u522b\u4eba\u5e2e\u5fd9\u5e76\u4e0d\u662f\u4e0d\u8981\u5f00\u9500\u7684\uff0c\u4f60\u8ba9A\u540c\u5b66\u62ff\u53bb\u7ed9B\u540c\u5b66\u53ef\u80fd\u9700\u8981\u4e00\u4e9b\u82b1\u8d39\uff0c\u81ea\u7136\u4f60\u4e0d\u662f\u4e00\u4e2a\u5927\u6b3e\uff0c\u60f3 \u6700\u5c0f\u5316\u8fd9\u4e2a\u82b1\u8d39\uff0c\u90a3\u4e48\u5c31\u662f\u6700\u5c0f\u8d39\u7528\u6700\u5927\u6d41\u4e86\u2026\u2026<\/p>\n","protected":false},"excerpt":{"rendered":"
\u52a8\u6001\u89c4\u5212 \u4f60\u8ffd\u4e00\u4e2aMM\u7684\u65f6\u5019\uff0c\u9700\u8981\u5bf9\u8be5MM\u8eab\u8fb9\u7684\u5404\u95fa\u4e2d\u5bc6\u53cb\u90fd\u597d\uff0c\u8fd9\u6837\u4f60\u8ffdMM\u8fd9\u4e2a\u95ee\u9898\u5c31\u5206\u89e3\u4e3a\u5bf9\u5176MM\u670b\u53cb\u7684\u95ee\u9898\uff0c\u53ea\u6709\u628a\u8fd9\u4e9b\u95ee\u9898\u90fd\u89e3\u51b3\u4e86\uff0c\u6700\u7ec8\u4f60\u624d\u80fd\u8ffd\u5230MM\u3002 \u8be5\u65b9\u6cd5\u9002\u7528\u4e8e\u806a\u660e\u7684MM\uff0c\u61c2\u5f97“\u770b\u4e00\u4e2a\u4eba\uff0c\u4e0d\u662f\u770b\u4ed6\u5982\u4f55\u5bf9\u4f60\uff0c\u800c\u662f\u770b\u4ed6\u5982\u4f55\u5bf9\u4ed6\u4eba\u3002”\u7684\u9053\u7406\uff0c\u5e76\u4e14\u5bf9\u4ed8\u8fd9\u6837\u7684MM\u603b\u80fd\u5f97\u5230\u6700\u4f18\u89e3\u3002 \u8be5\u65b9\u6cd5\u7684\u7f3a\u70b9\u662f\u5f00\u9500\u8f83\u5927\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u5b50\u95ee\u9898\u90fd\u8981\u597d\u597d\u5bf9\u5f85\u3002\u3002\u3002\u3002 ——————————————————————– \u8d2a\u5fc3\u6cd5 \u4f60\u8ffd\u4e00\u4e2aMM\u7684\u65f6\u5019\uff0c\u4ece\u76f8\u8bc6\u5230\u76f8\u77e5\uff0c\u6bcf\u6b21\u90fd\u91c7\u7528\u6700aggressive\u7684\u65b9\u5f0f\uff0c\u8fdb\u653b\u8fdb\u653b\u518d\u8fdb\u653b\uff01\u4ece\u4e0d\u91c7\u7528\u8fc2\u56de\u6218\u672f\u6216\u662f\u6b32\u64d2\u6545\u7eb5\u4e4b\u6cd5\uff01\u76ee\u6807\u662f\u4ee5\u6700\u5feb\u7684\u901f\u5ea6\u786e\u7acb\u4e24\u4eba\u5173\u7cfb\u3002 \u8be5\u6cd5\u4f18\u70b9\u662f\u4ee3\u4ef7\u5c0f\uff0c\u901f\u5ea6\u5feb\uff0c\u4f46\u7f3a\u70b9\u662f\u4e0d\u662f\u6bcf\u6b21\u90fd\u80fd\u5f97\u5230\u6700\u4f18\u89e3\u3002\u3002\u3002\u3002\u3002 ——————————————————————– \u56de\u6eaf\u7b97\u6cd5 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\u8be5\u7b97\u6cd5\u4e00\u822c\u4e5f\u80fd\u5f97\u5230\u6700\u4f18\u89e3\uff0c\u56e0\u4e3a\u5927\u591a\u6570MM\u4f1a\u611f\u52a8\u6ef4\uff01\uff01\u4f46\u5176\u7f3a\u70b9\u662f\u5f00\u9500\u5927\uff01\u9664\u975e\u4f60\u662f\u975e\u8981\u8c08\u4e00\u573a\u604b\u7231\u4e0d\u53ef\uff0c\u5426\u5219\u4e0d\u63a8\u8350\u4f7f\u7528\u3002\u7279\u522b\u662f\u4f60\u53ef\u80fd\u8fd8\u6709\u8bb8\u591a\u5176\u4ed6\u7684\u4e8b\u60c5\u8981\u505a\uff0c\u6bd4\u5982\u5b66\u4e60\uff0c\u6bd4\u5982\u4e8b\u4e1a\u3002\u3002\u3002\u3002 ——————————————————————– NP\u5b8c\u5168\u95ee\u9898 \u5475\u5475\uff0c\u90a3\u4f60\u4e3a\u4ec0\u4e48\u90a3\u4e48\u8d31\uff0c\u975e\u8981\u53bb\u8ffd\u5462\uff1f\u8bb0\u4f4f\uff1a“\u5929\u6daf\u4f55\u5904\u65e0\u82b3\u8349\uff01” 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