{"id":7708,"date":"2024-01-19T16:13:41","date_gmt":"2024-01-19T08:13:41","guid":{"rendered":"http:\/\/192.168.10.115\/?p=7708"},"modified":"2024-01-19T16:13:41","modified_gmt":"2024-01-19T08:13:41","slug":"2024-01-19-%e3%80%90%e9%a6%99%e6%b8%af%e7%a7%91%e6%8a%80%e5%a4%a7%e5%ad%a6%e3%80%91%e5%9f%ba%e4%ba%8e%e9%81%93%e8%b7%af%e6%8b%93%e6%89%91%e7%9a%84%e4%ba%92%e8%81%94%e8%87%aa%e5%8a%a8%e9%a9%be%e9%a9%b6","status":"publish","type":"post","link":"http:\/\/222.128.65.89:18086\/index.php\/2024\/01\/19\/7708\/","title":{"rendered":"2024-01-19 \u3010\u9999\u6e2f\u79d1\u6280\u5927\u5b66\u3011\u57fa\u4e8e\u9053\u8def\u62d3\u6251\u7684\u4e92\u8054\u81ea\u52a8\u9a7e\u9a76\u6c7d\u8f66\u901a\u7528\u534f\u540c\u51b3\u7b56\u6846\u67b6"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"638\" height=\"136\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-124.png\" alt=\"\" class=\"wp-image-7709\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-124.png 638w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-124-300x64.png 300w\" sizes=\"(max-width: 638px) 100vw, 638px\" \/><\/figure>\n\n\n\n<p>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/arxiv.org\/pdf\/2401.04968.pdf<\/p>\n\n\n\n<p>\u6458\u8981<\/p>\n\n\n\n<p>\u672c\u6587\u4ecb\u7ecd\u4e86\u57fa\u4e8e\u9053\u8def\u62d3\u6251\u7684\u4e92\u8054\u81ea\u52a8\u9a7e\u9a76\u6c7d\u8f66\u901a\u7528\u534f\u540c\u51b3\u7b56\u6846\u67b6\u3002\u7531\u4e8e\u4e92\u8054\u81ea\u52a8\u9a7e\u9a76\u6c7d\u8f66\uff08CAVs\uff09\u7684\u534f\u540c\u51b3\u7b56\u56fa\u6709\u7684\u975e\u7ebf\u6027\u3001\u975e\u51f8\u6027\u548c\u79bb\u6563\u7279\u6027\u4ee5\u53ca\u73b0\u5b9e\u4e16\u754c\u4ea4\u901a\u573a\u666f\u4e2d\u9047\u5230\u7684\u5404\u79cd\u9053\u8def\u62d3\u6251\u7ed3\u6784\uff0c\u56e0\u6b64\u5176\u9762\u4e34\u7740\u957f\u671f\u7684\u6311\u6218\u3002\u76ee\u524d\u7684\u5927\u591a\u6570\u65b9\u6cd5\u4ec5\u9002\u7528\u4e8e\u5355\u4e00\u4e14\u7279\u5b9a\u7684\u573a\u666f\uff0c\u5176\u57fa\u4e8e\u7279\u5b9a\u573a\u666f\u5047\u8bbe\u3002\u56e0\u6b64\uff0c\u5b83\u4eec\u5728\u73b0\u5b9e\u4e16\u754c\u73af\u5883\u4e2d\u7684\u5e94\u7528\u53d7\u9650\u4e8e\u4ea4\u901a\u573a\u666f\u7684\u5f88\u591a\u6027\u8d28\u3002\u5728\u672c\u7814\u7a76\u4e2d\uff0c\u6211\u4eec\u63d0\u51fa\u4e86\u4e00\u79cd\u7edf\u4e00\u7684\u4f18\u5316\u65b9\u6cd5\uff0c\u5176\u5177\u6709\u89e3\u51b3\u4e0e\u4e00\u822c\u9053\u8def\u62d3\u6251\u7684\u4ea4\u901a\u573a\u666f\u76f8\u5173\u7684\u534f\u540c\u51b3\u7b56\u95ee\u9898\u7684\u6f5c\u529b\u3002\u8fd9\u79cd\u65b9\u6cd5\u7684\u524d\u63d0\u662f\uff0c\u5404\u79cd\u4ea4\u901a\u573a\u666f\u7684\u62d3\u6251\u7ed3\u6784\u53ef\u4ee5\u666e\u904d\u8868\u793a\u4e3a\u6709\u5411\u65e0\u73af\u56fe\uff08DAGs\uff09\u3002\u7279\u522b\u5730\uff0c\u8003\u8651\u5230\u901f\u5ea6\u3001\u52a0\u901f\u5ea6\u3001\u51b2\u7a81\u89e3\u51b3\u65b9\u6848\u548c\u603b\u4f53\u4ea4\u901a\u6548\u7387\u7b49\u56e0\u7d20\uff0c\u4ee5\u5b8c\u5168\u534f\u540c\u7684\u65b9\u5f0f\u6765\u786e\u5b9a\u6240\u6709\u6d89\u53ca\u7684CAVs\u7684\u53c2\u8003\u8def\u5f84\u548c\u65f6\u95f4\u914d\u7f6e\u3002CAVs\u7684\u534f\u540c\u51b3\u7b56\u8fd1\u4f3c\u4e3a\u4e00\u4e2a\u57fa\u4e8e\u9053\u8def\u62d3\u6251\u7684DAGs\u7684\u6df7\u5408\u6574\u6570\u7ebf\u6027\u89c4\u5212\uff08MILP\uff09\u95ee\u9898\u3002\u8fd9\u4fc3\u8fdb\u4e86\u6807\u51c6\u6570\u503c\u6c42\u89e3\u5668\u7684\u4f7f\u7528\uff0c\u5e76\u4e14\u80fd\u591f\u901a\u8fc7\u4f18\u5316\u6765\u83b7\u5f97\u5168\u5c40\u6700\u4f18\u3002\u5c06\u5177\u6709\u4e0d\u540c\u62d3\u6251\u7ed3\u6784\u7684\u4e0d\u540c\u591a\u8f66\u9053\u4ea4\u901a\u573a\u666f\u5bf9\u5e94\u7684\u6848\u4f8b\u7814\u7a76\u8fdb\u884c\u6d4b\u8bd5\uff0c\u7ed3\u679c\u8bc1\u660e\u4e86\u672c\u6587\u6240\u63d0\u51fa\u65b9\u6cd5\u7684\u6709\u6548\u6027\u3002<\/p>\n\n\n\n<p>\u4e3b\u8981\u8d21\u732e<\/p>\n\n\n\n<p>\u672c\u6587\u7684\u4e3b\u8981\u8d21\u732e\u603b\u7ed3\u5982\u4e0b\uff1a<\/p>\n\n\n\n<p>1\uff09\u672c\u6587\u5229\u7528\u9053\u8def\u62d3\u6251\u7ed3\u6784\u7684\u901a\u7528\u56fe\u8868\u793a\uff0c\u63d0\u51fa\u4e86\u4e00\u79cd\u65b0\u578b\u7684\u4e92\u8054\u81ea\u52a8\u9a7e\u9a76\u6c7d\u8f66\u534f\u540c\u51b3\u7b56\u6846\u67b6\u3002\u8be5\u6846\u67b6\u57fa\u672c\u4e0a\u4e0e\u4ea4\u901a\u573a\u666f\u7684\u5b9e\u9645\u9053\u8def\u7ed3\u6784\u548c\u51e0\u4f55\u5f62\u72b6\u89e3\u8026\u3002\u56e0\u6b64\uff0c\u672c\u6587\u6240\u63d0\u51fa\u7684\u6846\u67b6\u53ef\u4ee5\u6cdb\u5316\u5230\u5e7f\u6cdb\u7684\u4ea4\u901a\u573a\u666f\uff0c\u800c\u65e0\u9700\u5177\u4f53\u8c03\u6574\uff1b<\/p>\n\n\n\n<p>2\uff09\u672c\u6587\u901a\u8fc7\u5c06big-M\u65b9\u6cd5\u4e0e\u677e\u5f1b\u53d8\u91cf\u76f8\u7ed3\u5408\uff0c\u63d0\u51fa\u4e86\u4e00\u79cd\u4f18\u5316\u65b9\u6848\uff0c\u4f8b\u5982\u51b3\u7b56\u548c\u65f6\u95f4\u914d\u7f6e\u7684\u8054\u5408\u4f18\u5316\u53ef\u4ee5\u5728\u4efb\u610f\u590d\u6742\u7684\u6709\u5411\u56fe\u8868\u793a\u4e0a\u5b9e\u73b0\uff1b<\/p>\n\n\n\n<p>3\uff09\u672c\u6587\u901a\u8fc7\u7ebf\u6027\u5316\u5c06\u4f18\u5316\u95ee\u9898\u8f6c\u6362\u4e3aMILP\u95ee\u9898\uff0c\u8fd9\u6709\u5229\u4e8e\u5728\u534f\u540c\u51b3\u7b56\u8fc7\u7a0b\u4e2d\u4f7f\u7528\u6807\u51c6\u6570\u503c\u6c42\u89e3\u5668\u6765\u83b7\u5f97\u5168\u5c40\u6700\u4f18\u89e3\uff1b<\/p>\n\n\n\n<p>4\uff09\u4e3a\u4e86\u9a8c\u8bc1\u672c\u6587\u6240\u63d0\u51fa\u7684\u65b9\u6cd5\u5e76\u4e14\u8bc1\u660e\u5176\u9002\u5e94\u6027\u548c\u591a\u529f\u80fd\u6027\uff0c\u6211\u4eec\u63d0\u4f9b\u4e86\u5bf9\u4e09\u79cd\u4e0d\u540c\u57ce\u5e02\u4ea4\u901a\u573a\u666f\u7684\u6848\u4f8b\u7814\u7a76\u3002\u8fd9\u4e9b\u7814\u7a76\u5c55\u73b0\u4e86\u8be5\u6846\u67b6\u6cdb\u5316\u5230\u5404\u79cd\u4ea4\u901a\u573a\u666f\u4e2d\u7684\u6709\u6548\u6027\u3002<\/p>\n\n\n\n<p>\u8bba\u6587\u56fe\u7247\u548c\u8868\u683c<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"339\" height=\"235\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-125.png\" alt=\"\" class=\"wp-image-7710\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-125.png 339w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-125-300x208.png 300w\" sizes=\"(max-width: 339px) 100vw, 339px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"340\" height=\"234\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-126.png\" alt=\"\" class=\"wp-image-7711\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-126.png 340w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-126-300x206.png 300w\" sizes=\"(max-width: 340px) 100vw, 340px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"340\" height=\"295\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-127.png\" alt=\"\" class=\"wp-image-7712\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-127.png 340w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-127-300x260.png 300w\" sizes=\"(max-width: 340px) 100vw, 340px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"278\" height=\"279\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-128.png\" alt=\"\" class=\"wp-image-7713\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-128.png 278w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-128-150x150.png 150w\" sizes=\"(max-width: 278px) 100vw, 278px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"678\" height=\"473\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-130.png\" alt=\"\" class=\"wp-image-7715\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-130.png 678w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-130-300x209.png 300w\" sizes=\"(max-width: 678px) 100vw, 678px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"686\" height=\"286\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-131.png\" alt=\"\" class=\"wp-image-7716\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-131.png 686w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-131-300x125.png 300w\" sizes=\"(max-width: 686px) 100vw, 686px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"312\" height=\"128\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-132.png\" alt=\"\" class=\"wp-image-7717\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-132.png 312w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-132-300x123.png 300w\" sizes=\"(max-width: 312px) 100vw, 312px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"338\" height=\"275\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-133.png\" alt=\"\" class=\"wp-image-7718\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-133.png 338w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-133-300x244.png 300w\" sizes=\"(max-width: 338px) 100vw, 338px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"472\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-134.png\" alt=\"\" class=\"wp-image-7719\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-134.png 670w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-134-300x211.png 300w\" sizes=\"(max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"338\" height=\"274\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-135.png\" alt=\"\" class=\"wp-image-7720\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-135.png 338w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-135-300x243.png 300w\" sizes=\"(max-width: 338px) 100vw, 338px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"675\" height=\"493\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-136.png\" alt=\"\" class=\"wp-image-7721\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-136.png 675w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-136-300x219.png 300w\" sizes=\"(max-width: 675px) 100vw, 675px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"341\" height=\"276\" src=\"http:\/\/192.168.10.115\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-137.png\" alt=\"\" class=\"wp-image-7722\" srcset=\"http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-137.png 341w, http:\/\/222.128.65.89:18086\/wp-content\/uploads\/2024\/01\/\u56fe\u7247-137-300x243.png 300w\" sizes=\"(max-width: 341px) 100vw, 341px\" 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