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\u2022 \u6211\u4eec\u5c06\u65f6\u53d8\u6df7\u5408\u91cf\u5b50\u7f51\u7edc\u4e2d\u7684\u8def\u7531\u8868\u8ff0\u4e3a\u8054\u5408\u4f18\u5316\u7aef\u5230\u7aef EGR \u548c\u4fdd\u771f\u5ea6\u7684\u53cc\u76ee\u6807\u4f18\u5316\u95ee\u9898\u3002\u4e0e\u4f18\u5316\u5355\u4e00\u6307\u6807\u7684\u73b0\u6709\u8def\u7531\u65b9\u6cd5\u4e0d\u540c，\u6211\u4eec\u7684\u8868\u8ff0\u660e\u786e\u6355\u6349\u4e86 EGR \u548c\u4fdd\u771f\u5ea6\u4e4b\u95f4\u7684\u6743\u8861\u3002
\n\u2022 \u6211\u4eec\u8bc1\u660e\u6240\u63d0\u51fa\u7684\u8def\u7531\u95ee\u9898\u5177\u6709\u7279\u6b8a\u7684\u6570\u5b66\u7ed3\u6784\u3002\u5177\u4f53\u800c\u8a00，\u901a\u8fc7\u5229\u7528\u7aef\u5230\u7aef EGR \u7684\u74f6\u9888\u6027\u8d28\u5e76\u5c06\u4e58\u6cd5\u4fdd\u771f\u5ea6\u76ee\u6807\u8f6c\u5316\u4e3a\u52a0\u6cd5\u8def\u5f84\u6210\u672c，\u6211\u4eec\u5c06\u95ee\u9898\u91cd\u6784\u4e3a MAXMIN\u2013MINSUM \u53cc\u51c6\u5219\u8def\u5f84\u95ee\u9898\u3002\u8fd9\u79cd\u8f6c\u5316\u4f7f\u5f97\u80fd\u591f\u4f7f\u7528 Martins \u7684\u53cc\u51c6\u5219\u8def\u7531\u7b97\u6cd5[20]\u7cbe\u786e\u5730\u5728\u591a\u9879\u5f0f\u65f6\u95f4\u5185\u8ba1\u7b97\u6700\u5c0f\u5b8c\u5907\u5e15\u7d2f\u6258\u6700\u4f18\u8def\u5f84\u96c6\u3002
\n\u2022 \u6211\u4eec\u5728\u73b0\u5b9e\u7684\u7eaf\u5730\u9762\u548c\u6df7\u5408\u5730\u9762\u2013\u536b\u661f\u91cf\u5b50\u7f51\u7edc\u4e0a\u5bf9\u6240\u63d0\u51fa\u6846\u67b6\u8fdb\u884c\u4e86\u5168\u9762\u8bc4\u4f30\u3002\u6211\u4eec\u7684\u7ed3\u679c\u91cf\u5316\u4e86\u901f\u7387\u2013\u4fdd\u771f\u5ea6\u6743\u8861，\u5e76\u6bd4\u8f83\u4e86\u6df7\u5408\u7f51\u7edc\u548c\u7eaf\u5730\u9762\u7f51\u7edc，\u5c55\u793a\u4e86\u53cc\u76ee\u6807\u8def\u7531\u76f8\u5bf9\u4e8e\u4f20\u7edf\u5355\u76ee\u6807\u65b9\u6cd5\u7684\u4f18\u52bf\u3002<\/p>\n

II \u76f8\u5173\u5de5\u4f5c
\n\u91cf\u5b50\u7f51\u7edc\u8def\u7531\u7814\u7a76\u4e3b\u8981\u96c6\u4e2d\u5728\u5730\u9762\u5149\u7ea4\u7f51\u7edc\u3002\u8fd9\u4e9b\u5de5\u4f5c\u8868\u660e，\u4f18\u5316\u91cf\u5b50\u7279\u5b9a\u6307\u6807（\u5982 EGR \u548c\u4fdd\u771f\u5ea6）\u6bd4\u57fa\u4e8e\u8ddd\u79bb\u7684\u6307\u6807（\u5982\u8df3\u6570）\u4ea7\u751f\u66f4\u597d\u7684\u6027\u80fd[22, 23]\u3002\u7136\u800c，\u5b83\u4eec\u4f18\u5316\u5355\u4e00\u76ee\u6807\u6216\u5728\u7ea6\u675f\u53e6\u4e00\u4e2a\u7684\u540c\u65f6\u4f18\u5316\u4e00\u4e2a\u6307\u6807[24, 25]\u3002\u56e0\u6b64，\u5b83\u4eec\u6ca1\u6709\u660e\u786e\u523b\u753b EGR \u548c\u4fdd\u771f\u5ea6\u4e4b\u95f4\u7684\u6743\u8861\u3002<\/p>\n

\u66f4\u8fd1\u671f，\u6df7\u5408\u5730\u9762\u2013\u536b\u661f\u91cf\u5b50\u7f51\u7edc\u88ab\u63d0\u51fa[13, 26, 18, 15]\u3002\u5c3d\u7ba1\u5176\u67b6\u6784\u5b58\u5728\u5dee\u5f02，\u5305\u62ec\u4e3b\u52a8\u536b\u661f\u6e90[13, 26]\u3001\u4e09\u5c42\u536b\u661f\u2013\u7a7a\u4e2d\u2013\u5730\u9762\u7f51\u7edc[18]\u548c\u57fa\u4e8e\u65e0\u6e90\u53cd\u5c04\u5668\u7684\u8bbe\u8ba1[15]，\u5b83\u4eec\u90fd\u5c06\u8def\u7531\u8868\u8ff0\u4e3a\u5355\u76ee\u6807\u4f18\u5316\u95ee\u9898\u3002<\/p>\n

\u4f8b\u5982，Shao \u7b49\u4eba[13]\u63d0\u51fa\u4e86\u4e00\u79cd\u6df7\u5408\u67b6\u6784，\u5e76\u4f7f\u7528\u4ece\u5730\u9762\u7ad9\u5bc6\u5ea6\u5bfc\u51fa\u7684\u8ddd\u79bb\u9608\u503c\u5728\u5730\u9762\u94fe\u8def\u548c\u536b\u661f\u94fe\u8def\u4e4b\u95f4\u52a8\u6001\u5207\u6362\u3002\u7c7b\u4f3c\u5730，Bakker \u7b49\u4eba[26]\u901a\u8fc7\u5c06 Dijkstra \u7b97\u6cd5\u5e94\u7528\u4e8e\u8003\u8651\u5929\u6c14\u3001\u6742\u6563\u5149\u8f90\u5c04\u548c\u536b\u661f\u53ef\u89c1\u6027\u7684\u79d8\u5bc6\u5bc6\u94a5\u6982\u7387\u6307\u6807，\u5c06\u8def\u7531\u8868\u8ff0\u4e3a\u6700\u77ed\u8def\u5f84\u95ee\u9898\u3002Shaban \u7b49\u4eba[18]\u8003\u8651\u4e09\u5c42\u536b\u661f\u2013\u7a7a\u4e2d\u2013\u5730\u9762\u67b6\u6784，\u5e76\u91c7\u7528\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60\u6846\u67b6\u57fa\u4e8e\u4fe1\u9053\u900f\u5c04\u7387\u52a8\u6001\u9009\u62e9\u8def\u7531\u8def\u5f84\u3002Gu \u7b49\u4eba[15]\u5c06\u7ea0\u7f20\u6e90\u653e\u7f6e\u5728\u5730\u9762\u7ad9，\u4f7f\u7528\u536b\u661f\u4f5c\u4e3a\u65e0\u6e90\u5149\u5b66\u53cd\u5c04\u5668，\u5e76\u5c06\u8def\u7531\u8868\u8ff0\u4e3a\u4e24\u9636\u6bb5\u6df7\u5408\u6574\u6570\u7ebf\u6027\u89c4\u5212\u3002<\/p>\n

\u5c3d\u7ba1\u8fd9\u4e9b\u65b9\u6cd5\u5728\u7269\u7406\u67b6\u6784\u548c\u8def\u7531\u7b97\u6cd5\u4e0a\u5b58\u5728\u663e\u8457\u5dee\u5f02，\u5b83\u4eec\u6700\u7ec8\u90fd\u901a\u8fc7\u4f18\u5316\u4e00\u4e2a\u8def\u7531\u76ee\u6807\u6765\u9009\u62e9\u5355\u6761\u8def\u7531\u3002\u6ca1\u6709\u4e00\u4e2a\u660e\u786e\u8ba1\u7b97\u66b4\u9732 EGR \u548c\u4fdd\u771f\u5ea6\u4e4b\u95f4\u6743\u8861\u7684\u5e15\u7d2f\u6258\u6700\u4f18\u8def\u7531\u8def\u5f84\u96c6\u3002\u867d\u7136\u591a\u76ee\u6807\u4f18\u5316\u5df2\u5728\u5404\u79cd\u7f51\u7edc\u914d\u7f6e\u4e0b\u7684\u7ecf\u5178\u7f51\u7edc\u4e2d\u88ab\u63a2\u7d22[27, 28]，\u4f46\u91cf\u5b50\u8def\u7531\u76ee\u6807\u72ec\u7279\u7684\u74f6\u9888\u548c\u4e58\u6cd5\u7ed3\u6784\u63d0\u51fa\u4e86\u6839\u672c\u4e0d\u540c\u7684\u4f18\u5316\u95ee\u9898\u3002\u5728\u672c\u5de5\u4f5c\u4e2d，\u6211\u4eec\u5c06\u8def\u7531\u8868\u8ff0\u4e3a\u7cbe\u786e\u7684\u53cc\u76ee\u6807\u4f18\u5316\u95ee\u9898，\u5e76\u901a\u8fc7\u5c06\u5176\u8f6c\u5316\u4e3a MAXMIN\u2013MINSUM \u53cc\u51c6\u5219\u8def\u5f84\u9009\u62e9\u95ee\u9898[20]，\u5728\u591a\u9879\u5f0f\u65f6\u95f4\u5185\u8ba1\u7b97\u5e15\u7d2f\u6258\u524d\u6cbf\u3002<\/p>\n

III \u6df7\u5408\u91cf\u5b50\u7f51\u7edc\u67b6\u6784
\n\u6211\u4eec\u8003\u8651\u7531\u5730\u9762\u5149\u7ea4\u7f51\u7edc\u548c\u65f6\u53d8 LEO \u536b\u661f\u7f51\u7edc\u7ec4\u6210\u7684\u6df7\u5408\u91cf\u5b50\u7f51\u7edc\u3002\u672c\u8282\u63cf\u8ff0\u7f51\u7edc\u67b6\u6784\u5e76\u5b9a\u4e49\u7528\u4e8e\u8def\u7531\u7684\u94fe\u8def\u548c\u7aef\u5230\u7aef\u8def\u5f84\u6307\u6807\u3002<\/p>\n

III-A \u5730\u9762\u8282\u70b9\u548c\u536b\u661f
\n\u5730\u9762\u5c42\u7531\u4e00\u7ec4\u5177\u5907\u91cf\u5b50\u80fd\u529b\u7684\u8282\u70b9 𝒱 = 𝒱_g \u222a 𝒱_f \u7ec4\u6210，\u5176\u4e2d 𝒱_g \u8868\u793a\u5149\u5b66\u5730\u9762\u7ad9（OGS）\u96c6\u5408，𝒱_f \u8868\u793a\u5730\u9762\u5149\u7ea4\u8282\u70b9\u96c6\u5408\u3002\u9664\u4e86\u4f5c\u4e3a\u7ea0\u7f20\u5206\u53d1\u7684\u7aef\u8282\u70b9\u5916，\u5149\u7ea4\u8282\u70b9\u53c2\u4e0e\u7ea0\u7f20\u4ea4\u6362\u3002OGS \u8fd8\u914d\u5907\u4e0e\u536b\u661f\u901a\u4fe1\u6240\u9700\u7684\u81ea\u7531\u7a7a\u95f4\u5149（FSO）\u786c\u4ef6\u3002\u6211\u4eec\u5047\u8bbe\u6240\u6709\u5730\u9762\u8282\u70b9\u90fd\u914d\u5907\u5b8c\u7f8e\u7684\u5355\u5149\u5b50\u91cf\u5b50\u5b58\u50a8\u5668\u548c\u63a5\u6536\u3001\u4ea4\u6362\u548c\u64cd\u7eb5\u7ea0\u7f20\u6001\u6240\u9700\u7684\u5149\u5b66\u786c\u4ef6\u3002<\/p>\n

\u7a7a\u95f4\u5c42\u7531\u4e00\u7ec4 LEO \u536b\u661f 𝒮 \u7ec4\u6210\u3002\u6211\u4eec\u8003\u8651\u6ca1\u6709\u661f\u95f4\u94fe\u8def\u7684\u53cc\u4e0b\u884c\u67b6\u6784[29, 13]\u3002\u6bcf\u9897\u536b\u661f\u914d\u5907\u4e00\u4e2a\u7ea0\u7f20\u5bf9\u6e90\u548c\u4e24\u4e2a\u5149\u5b66\u53d1\u5c04\u5668\u3002\u5f53\u4e24\u4e2a OGS \u540c\u65f6\u5bf9\u4e00\u9897\u536b\u661f\u53ef\u89c1\u65f6，\u536b\u661f\u53ef\u4ee5\u5c06\u7ea0\u7f20\u5bf9\u4e2d\u7684\u4e00\u4e2a\u5149\u5b50\u4f20\u8f93\u7ed9\u6bcf\u4e2a OGS，\u4ece\u800c\u5728\u5b83\u4eec\u4e4b\u95f4\u521b\u5efa\u536b\u661f\u8f85\u52a9\u7ea0\u7f20\u3002<\/p>\n

III-B \u5730\u9762\u62d3\u6251\u6784\u5efa
\n\u6211\u4eec\u5206\u4e24\u4e2a\u9636\u6bb5\u6784\u5efa\u5730\u9762\u62d3\u6251\u3002\u9996\u5148，\u5728\u5730\u7406\u4e0a\u90bb\u8fd1\u7684\u5730\u9762\u8282\u70b9\u4e4b\u95f4\u5efa\u7acb\u5730\u9762\u8fb9\u3002\u6240\u5f97\u57fa\u4e8e\u90bb\u8fd1\u6027\u7684\u62d3\u6251\u53ef\u80fd\u5305\u542b\u591a\u4e2a\u4e0d\u8fde\u901a\u5206\u91cf\u3002\u4e3a\u4e86\u83b7\u5f97\u5168\u5c40\u8fde\u901a\u7684\u5730\u9762\u7f51\u7edc，\u6211\u4eec\u8fed\u4ee3\u5730\u8fde\u63a5\u5c5e\u4e8e\u4e0d\u540c\u8fde\u901a\u5206\u91cf\u7684\u6700\u8fd1\u8282\u70b9\u5bf9\u3002\u7b49\u4ef7\u5730，\u8be5\u8fc7\u7a0b\u9075\u5faa\u51dd\u805a\u5355\u94fe\u63a5\u805a\u7c7b\u7b97\u6cd5（\u6700\u8fd1\u90bb\u6280\u672f）[30]，\u5728\u6bcf\u6b21\u8fed\u4ee3\u4e2d\u6dfb\u52a0\u6700\u5c0f\u8ddd\u79bb\u7684\u8de8\u5206\u91cf\u8fb9，\u76f4\u5230\u5730\u9762\u56fe\u8fde\u901a\u3002<\/p>\n

\u7531\u4e8e\u5149\u7ea4\u8870\u51cf\u5bfc\u81f4 EGR \u968f\u8ddd\u79bb\u6307\u6570\u4e0b\u964d，\u6211\u4eec\u5c06\u6bcf\u4e2a\u5149\u7ea4\u6bb5\u7684\u957f\u5ea6\u9650\u5236\u4e3a d_rep，\u5373\u4e24\u4e2a\u76f8\u90bb\u4e2d\u7ee7\u5668\u4e4b\u95f4\u7684\u6700\u5927\u8ddd\u79bb\u3002\u7269\u7406\u5149\u7ea4\u957f\u5ea6\u8d85\u8fc7 d_rep \u7684\u5730\u9762\u8fb9\u88ab\u5206\u6210\u591a\u4e2a\u5149\u7ea4\u6bb5，\u5728\u8fde\u7eed\u6bb5\u4e4b\u95f4\u653e\u7f6e\u4e2d\u7ee7\u5668\u8fdb\u884c\u7ea0\u7f20\u4ea4\u6362\u3002\u6211\u4eec\u5c06\u6240\u5f97\u5730\u9762\u8fb9\u9759\u6001\u96c6\u5408\u8bb0\u4e3a \u2130_t\u3002<\/p>\n

<\/p>\n

\u56fe 2：Cleveland Heights, OH \u548c High Point, NC \u4e4b\u95f4\u7eaf\u5730\u9762\u548c\u6df7\u5408\u8def\u7531\u793a\u4f8b\u3002\u7eff\u8272\u8def\u7531\u4ec5\u4f7f\u7528\u5730\u9762\u5149\u7ea4\u94fe\u8def，\u800c\u84dd\u8272\u8def\u7531\u5305\u542b\u4e24\u4e2a OGS \u4e4b\u95f4\u7684\u536b\u661f\u8f85\u52a9\u865a\u62df\u8fb9（\u865a\u7ebf）\u3002<\/p>\n

III-C \u536b\u661f\u8f85\u52a9\u865a\u62df\u94fe\u8def
\n\u536b\u661f\u79fb\u52a8\u5bfc\u81f4\u53ef\u7528\u536b\u661f\u8f85\u52a9\u94fe\u8def\u96c6\u5408\u968f\u65f6\u95f4\u53d8\u5316\u3002\u56e0\u6b64，\u6211\u4eec\u5c06\u65f6\u95f4\u5212\u5206\u4e3a\u6301\u7eed \u0394 \u79d2\u7684\u65f6\u9699，\u5e76\u5728\u6bcf\u4e2a\u65f6\u9699\u5185\u5c06\u536b\u661f\u4f4d\u7f6e\u548c\u4fe1\u9053\u6761\u4ef6\u89c6\u4e3a\u56fa\u5b9a\u3002\u4ee4 C \u2286 𝒱_g \u00d7 𝒱_g \u8868\u793a\u53ef\u80fd\u7531\u536b\u661f\u5c42\u670d\u52a1\u7684 OGS \u5bf9\u96c6\u5408\u3002\u5728\u65f6\u9699 t \u5f00\u59cb\u65f6，\u6211\u4eec\u786e\u5b9a\u54ea\u4e9b\u536b\u661f\u53ef\u4ee5\u540c\u65f6\u770b\u5230\u6bcf\u5bf9 (g1, g2) \u2208 C \u4e2d\u7684\u4e24\u4e2a OGS\u3002\u5c06\u536b\u661f\u5206\u914d\u7ed9\u8fd9\u6837\u4e00\u5bf9\u4f1a\u5728 g1 \u548c g2 \u4e4b\u95f4\u521b\u5efa\u77ac\u6001\u865a\u62df\u8fb9\u3002\u65f6\u9699 t \u5185\u9009\u62e9\u7684\u865a\u62df\u8fb9\u96c6\u5408\u8bb0\u4e3a \u2130_s(t)\u3002<\/p>\n

\u7531\u4e8e\u540c\u65f6\u53ef\u7528\u7684\u536b\u661f\u53d1\u5c04\u5668\u548c OGS \u63a5\u6536\u5668\u6570\u91cf\u6709\u9650，\u5e76\u975e\u6bcf\u4e2a\u51e0\u4f55\u4e0a\u53ef\u884c\u7684\u865a\u62df\u8fb9\u90fd\u80fd\u88ab\u6fc0\u6d3b\u3002\u6211\u4eec\u91c7\u7528\u8d2a\u5fc3\u8c03\u5ea6\u7a0b\u5e8f，\u53d7\u4ee5\u4e0b\u8d44\u6e90\u7ea6\u675f：<\/p>\n

  • \n

    \u6bcf\u9897\u536b\u661f\u5728\u4e00\u4e2a\u65f6\u9699\u5185\u6700\u591a\u5206\u914d\u7ed9\u4e00\u4e2a OGS \u5bf9；<\/p>\n<\/li>\n

  • \n

    \u6bcf\u4e2a OGS \u5bf9\u5728\u8be5\u65f6\u9699\u5185\u6700\u591a\u7531\u4e00\u9897\u536b\u661f\u670d\u52a1\u3002<\/p>\n<\/li>\n

    \u8c03\u5ea6\u7a0b\u5e8f\u9996\u5148\u8003\u8651\u4ec5\u5bf9\u4e00\u9897\u536b\u661f\u53ef\u89c1\u7684 OGS \u5bf9\u3002\u7136\u540e\u6309\u5730\u7406\u95f4\u9694\u964d\u5e8f\u6392\u5217\u5269\u4f59\u5bf9，\u4ece\u800c\u5229\u7528\u536b\u661f\u5c42\u6865\u63a5\u957f\u5730\u9762\u8ddd\u79bb\u3002\u5f53\u591a\u9897\u536b\u661f\u53ef\u4ee5\u670d\u52a1\u540c\u4e00\u5bf9\u65f6，\u9009\u62e9\u63d0\u4f9b\u6700\u5927 EGR \u7684\u536b\u661f\u3002<\/p>\n

    \u536b\u661f\u8f85\u52a9\u8fb9\u662f\u865a\u62df\u7684，\u56e0\u4e3a\u4e24\u4e2a OGS \u5e76\u975e\u7531\u76f4\u63a5\u7269\u7406\u4fe1\u9053\u8fde\u63a5\u3002\u76f8\u53cd，\u536b\u661f\u751f\u6210\u4e00\u4e2a\u7ea0\u7f20\u5149\u5b50\u5bf9，\u5e76\u901a\u8fc7\u4e24\u4e2a\u72ec\u7acb\u7684\u81ea\u7531\u7a7a\u95f4\u4e0b\u884c\u94fe\u8def\u5c06\u4e00\u4e2a\u5149\u5b50\u4f20\u8f93\u7ed9\u6bcf\u4e2a OGS\u3002<\/p>\n

    III-D \u65f6\u53d8\u591a\u91cd\u56fe\u8868\u793a
    \n\u6211\u4eec\u5c06\u65f6\u9699 t \u5185\u6240\u5f97\u6df7\u5408\u7f51\u7edc\u5efa\u6a21\u4e3a\u65f6\u53d8\u591a\u91cd\u56fe 𝒢(t) = (𝒱, \u2130(t))，\u5176\u4e2d \u2130(t) = \u2130_t \u222a \u2130_s(t)\u3002\u5730\u9762\u8fb9\u96c6 \u2130_t \u4fdd\u6301\u56fa\u5b9a，\u800c\u536b\u661f\u8f85\u52a9\u8fb9\u96c6 \u2130_s(t) \u968f\u536b\u661f\u4f4d\u7f6e\u548c\u4fe1\u9053\u6761\u4ef6\u53d8\u5316\u91cd\u65b0\u8ba1\u7b97\u3002\u6211\u4eec\u4f7f\u7528\u591a\u91cd\u56fe\u662f\u56e0\u4e3a\u540c\u4e00 OGS \u5bf9\u53ef\u80fd\u540c\u65f6\u7531\u5730\u9762\u5149\u7ea4\u8fb9\u548c\u536b\u661f\u8f85\u52a9\u865a\u62df\u8fb9\u8fde\u63a5\u3002\u8fd9\u4e9b\u5e73\u884c\u8fb9\u5bf9\u5e94\u4e8e\u7269\u7406\u4e0a\u4e0d\u540c\u7684\u7ea0\u7f20\u5206\u53d1\u673a\u5236，\u53ef\u80fd\u63d0\u4f9b\u4e0d\u540c\u7684 EGR \u548c\u4fdd\u771f\u5ea6\u3002<\/p>\n

    \u56fe 2 \u8bf4\u660e\u4e86\u6240\u5f97\u67b6\u6784\u3002\u5730\u9762\u5c42\u63d0\u4f9b\u5149\u7ea4\u8fde\u63a5，\u800c\u536b\u661f\u5c42\u52a8\u6001\u5730\u5728\u9009\u5b9a\u7684 OGS \u5bf9\u4e4b\u95f4\u5f15\u5165\u957f\u8ddd\u79bb\u865a\u62df\u8fb9\u3002\u56e0\u6b64，\u7aef\u5230\u7aef\u7ea0\u7f20\u53ef\u4ee5\u901a\u8fc7\u7eaf\u5730\u9762\u8def\u7531\u6216\u540c\u65f6\u7a7f\u8d8a\u5730\u9762\u5149\u7ea4\u8fb9\u548c\u536b\u661f\u8f85\u52a9\u865a\u62df\u8fb9\u7684\u6df7\u5408\u8def\u7531\u5206\u53d1\u3002<\/p>\n

    III-E \u7ea0\u7f20\u6e90\u548c\u4fe1\u9053\u6a21\u578b
    \n\u6211\u4eec\u5047\u8bbe\u6bcf\u4e2a\u57fa\u672c\u8fb9\u4e0a\u7684\u7ea0\u7f20\u7531\u81ea\u53d1\u53c2\u91cf\u4e0b\u8f6c\u6362（SPDC）\u6e90[31]\u751f\u6210\u3002\u5bf9\u4e8e\u5730\u9762\u5149\u7ea4\u8fb9，\u6e90\u653e\u7f6e\u5728\u8fb9\u7684\u4e24\u4e2a\u7aef\u70b9\u4e4b\u95f4\u3002\u5bf9\u4e8e\u536b\u661f\u8f85\u52a9\u8fb9，\u6e90\u4f4d\u4e8e\u536b\u661f\u4e0a，\u5176\u4e24\u4e2a\u8f93\u51fa\u5149\u5b50\u88ab\u4f20\u8f93\u5230\u76f8\u5e94\u7684 OGS\u3002\u6211\u4eec\u5efa\u6a21\u4e00\u4e2a\u57fa\u4e8e SPDC \u7684\u53cc\u8f68\u504f\u632f\u6e90，\u5176\u8f93\u51fa\u622a\u65ad\u5230\u771f\u7a7a\u3001\u5355\u5bf9\u548c\u53cc\u5bf9\u5206\u91cf：<\/p>\n

    <\/p>\n

    \u5176\u4e2d N0 \u662f\u5f52\u4e00\u5316\u5e38\u6570，\u5e76\u4e14<\/p>\n

    <\/p>\n

    \u8fd9\u91cc，N_S \u662f\u6bcf\u6a21\u5e73\u5747\u5149\u5b50\u6570，\u7531\u6e90\u6cf5\u6d66\u529f\u7387\u63a7\u5236\u3002\u589e\u52a0 N_S \u589e\u52a0\u751f\u6210\u7ea0\u7f20\u5bf9\u7684\u6982\u7387，\u4f46\u4e5f\u589e\u52a0\u4e0d\u9700\u8981\u7684\u591a\u5bf9\u53d1\u5c04\u6982\u7387\u3002\u56e0\u6b64\u6e90\u8868\u73b0\u51fa\u56fa\u6709\u7684\u901f\u7387\u2013\u4fdd\u771f\u5ea6\u6743\u8861\u3002<\/p>\n

    \u5bf9\u4e8e\u5149\u7ea4\u8fb9，\u4fe1\u9053\u900f\u5c04\u7387\u968f\u5149\u7ea4\u957f\u5ea6\u6307\u6570\u4e0b\u964d\u3002\u5bf9\u4e8e\u536b\u661f\u8f85\u52a9\u8fb9，\u635f\u8017\u589e\u957f\u66f4\u6162，\u5927\u81f4\u968f\u8ddd\u79bb\u4e8c\u6b21\u589e\u957f\u3002\u6211\u4eec\u8003\u8651\u4e24\u4e2a\u4e3b\u8981\u566a\u58f0\u6e90\u3002\u7b2c\u4e00，\u591a\u5bf9\u53d1\u5c04\u53ef\u80fd\u4ea7\u751f\u5728\u5149\u5b50\u635f\u8017\u540e\u65e0\u6cd5\u4e0e\u5355\u5bf9\u4e8b\u4ef6\u533a\u5206\u7684\u63a2\u6d4b\u4e8b\u4ef6\u3002\u7b2c\u4e8c，\u63a2\u6d4b\u5668\u6697\u8ba1\u6570\u548c\u80cc\u666f\u5149\u5b50\u53ef\u80fd\u5728\u63a5\u6536\u5668\u5904\u4ea7\u751f\u865a\u5047\u63a2\u6d4b\u4e8b\u4ef6\u3002\u8fd9\u4e9b\u6548\u5e94\u964d\u4f4e\u6210\u529f\u5206\u53d1\u7ea0\u7f20\u6001\u7684\u4fdd\u771f\u5ea6\u3002\u80cc\u666f\u5149\u5b50\u566a\u58f0\u53ef\u80fd\u968f\u65f6\u95f4\u53d8\u5316，\u7279\u522b\u662f\u5728\u767d\u5929\u548c\u591c\u95f4\u64cd\u4f5c\u6761\u4ef6\u4e4b\u95f4\u3002\u6e90\u3001\u635f\u8017\u548c\u566a\u58f0\u6a21\u578b\u7684\u66f4\u8be6\u7ec6\u8868\u5f81\u89c1[32]\u3002<\/p>\n

    III-F \u94fe\u8def\u6307\u6807
    \n\u6bcf\u6761\u8fb9 e \u2208 \u2130(t) \u7531\u5bf9 (R_e, F_e) \u8868\u5f81，\u5176\u4e2d\u94fe\u8def EGR R_e \u662f\u7ea0\u7f20\u5bf9\u6210\u529f\u901a\u8fc7\u8fb9 e \u5206\u53d1\u7684\u901f\u7387\u3002\u5b83\u53d6\u51b3\u4e8e\u6e90\u91cd\u590d\u7387\u548c\u4fe1\u9053\u900f\u5c04\u7387\u3002SPDC \u6e90\u4ea7\u751f\u5e76\u901a\u8fc7\u8fb9\u5206\u53d1\u7684\u7ea0\u7f20\u6001\u901a\u5e38\u662f\u4efb\u610f\u4e24\u91cf\u5b50\u6bd4\u7279\u6001\u3002\u4e3a\u5206\u6790\u53ef\u5904\u7406\u6027，\u6211\u4eec\u7528\u5177\u6709\u76f8\u540c\u4fdd\u771f\u5ea6 F_e \u7684 Werner \u6001\u8fd1\u4f3c\u5b83\u3002\u5176 Werner \u53c2\u6570 W_e \u4e0e\u4fdd\u771f\u5ea6 F_e \u7684\u5173\u7cfb\u4e3a W_e = (4F_e \u2212 1)\/3，\u5176\u4e2d W_e \u2208 (0,1] \u4e14 F_e \u2208 (1\/4,1]\u3002<\/p>\n

    III-G \u7aef\u5230\u7aef\u8def\u5f84\u6307\u6807
    \n\u8003\u8651\u4e00\u5bf9\u6700\u7ec8\u7528\u6237 (s,d) \u2208 𝒱 \u00d7 𝒱 \u4e4b\u95f4\u7684\u8def\u5f84 p = (e1, \u2026, ek)，\u5176\u4e2d\u6bcf\u4e2a e_i \u2208 \u2130(t)\u3002\u4e2d\u95f4\u8282\u70b9\u6267\u884c\u7ea0\u7f20\u4ea4\u6362\u4ee5\u8de8\u8fb9\u6269\u5c55\u7ea0\u7f20\u3002\u6211\u4eec\u5047\u8bbe\u786e\u5b9a\u6027\u4ea4\u6362\u64cd\u4f5c，\u5e76\u4e14\u91cf\u5b50\u5b58\u50a8\u5668\u53ef\u4ee5\u5b58\u50a8\u751f\u6210\u7684\u7ea0\u7f20\u76f4\u5230\u76f8\u90bb\u94fe\u8def\u5c31\u7eea\u3002\u5728\u8be5\u6a21\u578b\u4e0b，\u7aef\u5230\u7aef EGR \u7531\u8def\u5f84\u4e2d EGR \u6700\u5c0f\u7684\u94fe\u8def\u51b3\u5b9a\u3002\u56e0\u6b64，\u8def\u5f84 p \u7684 EGR \u4e3a R_p = min_{e\u2208p} R_e\u3002<\/p>\n

    \u5728\u7ea0\u7f20\u4ea4\u6362\u4e0b，\u6240\u5f97\u7aef\u5230\u7aef\u6001\u7684 Werner \u53c2\u6570\u662f\u5404\u4e2a\u94fe\u8def\u7ea7 Werner \u53c2\u6570\u7684\u4e58\u79ef\u3002\u56e0\u6b64，\u8def\u5f84 p \u7684\u4fdd\u771f\u5ea6\u4e3a F_p = 3(\u220f_{e\u2208p} W_e + 1)\/4\u3002<\/p>\n

    IV \u53cc\u76ee\u6807\u8def\u7531\u6846\u67b6
    \n\u5bf9\u4e8e\u56fa\u5b9a\u7f51\u7edc\u72b6\u6001 𝒢(t) \u548c\u4e00\u5bf9\u8bf7\u6c42\u7ea0\u7f20\u7684\u6700\u7ec8\u7528\u6237 (s,d) \u2208 𝒱 \u00d7 𝒱，\u4ee4 𝒫_sd \u8868\u793a\u5b83\u4eec\u4e4b\u95f4\u6240\u6709\u53ef\u884c\u8def\u5f84\u7684\u96c6\u5408\u3002\u6bcf\u6761\u8def\u5f84 p \u2208 𝒫_sd \u7531\u5176\u7aef\u5230\u7aef EGR R_p \u548c\u4fdd\u771f\u5ea6 F_p \u8868\u5f81，\u5b9a\u4e49\u89c1\u7b2c III-G \u8282\u3002<\/p>\n

    \u91cf\u5b50\u5e94\u7528\u9700\u8981\u8db3\u591f\u7684 EGR \u548c\u8db3\u591f\u9ad8\u7684\u4fdd\u771f\u5ea6\u3002\u8fd9\u4e9b\u76ee\u6807\u5728\u6df7\u5408\u7f51\u7edc\u4e2d\u662f\u6839\u672c\u51b2\u7a81\u7684\u3002\u63d0\u4f9b\u66f4\u9ad8 EGR \u7684\u8def\u5f84\u901a\u5e38\u7a7f\u8d8a\u8f83\u5c11\u536b\u661f\u8f85\u52a9\u6bb5\u7684\u5730\u9762\u8fb9，\u800c\u4fdd\u6301\u66f4\u9ad8\u4fdd\u771f\u5ea6\u7684\u8def\u5f84\u53ef\u80fd\u4e0d\u4f7f\u7528\u957f\u4e2d\u7ee7\u5668\u94fe，\u800c\u662f\u4f7f\u7528\u536b\u661f\u8f85\u52a9\u8fb9\u3002\u56e0\u6b64，\u6ca1\u6709\u5355\u6761\u8def\u5f84\u540c\u65f6\u4f18\u5316\u4e24\u4e2a\u76ee\u6807\u3002<\/p>\n

    \u56e0\u6b64\u6211\u4eec\u5c06\u8def\u7531\u8868\u8ff0\u4e3a\u4ee5\u4e0b\u53cc\u76ee\u6807\u4f18\u5316\u95ee\u9898：<\/p>\n

    <\/p>\n

    \u7531\u4e8e\u4e24\u4e2a\u76ee\u6807\u51b2\u7a81，(3) \u7684\u89e3\u901a\u5e38\u4e0d\u662f\u5355\u6761\u8def\u5f84，\u800c\u662f\u4e00\u7ec4\u5e15\u7d2f\u6258\u6700\u4f18\u8def\u5f84\u3002\u8def\u5f84 p \u2208 𝒫_sd \u662f\u5e15\u7d2f\u6258\u6700\u4f18\u7684，\u5982\u679c\u4e0d\u5b58\u5728\u53e6\u4e00\u6761\u8def\u5f84 q \u2208 𝒫_sd \u6ee1\u8db3 R_q \u2265 R_p \u4e14 F_q \u2265 F_p，\u4e14\u81f3\u5c11\u4e00\u4e2a\u4e25\u683c\u4e0d\u7b49\u5f0f\u3002\u8fd9\u4e9b\u8def\u5f84\u5171\u540c\u5b9a\u4e49\u5e15\u7d2f\u6258\u524d\u6cbf，\u5176\u4e2d\u6bcf\u4e2a\u70b9\u4ee3\u8868\u7aef\u5230\u7aef EGR \u548c\u4fdd\u771f\u5ea6\u4e4b\u95f4\u53ef\u5b9e\u73b0\u7684\u6700\u4f73\u6743\u8861\u3002<\/p>\n

    IV-A \u8f6c\u5316\u4e3a MAXMIN\u2013MINSUM \u8def\u7531\u95ee\u9898
    \n\u5c3d\u7ba1\u591a\u76ee\u6807\u6700\u77ed\u8def\u5f84\u95ee\u9898\u901a\u5e38\u662f NP \u96be\u7684[21]，\u6240\u63d0\u51fa\u7684\u8def\u7531\u8868\u8ff0\u5177\u6709\u7279\u6b8a\u6570\u5b66\u7ed3\u6784，\u5141\u8bb8\u7cbe\u786e\u7684\u591a\u9879\u5f0f\u65f6\u95f4\u89e3\u3002<\/p>\n

    \u7b2c\u4e00\u4e2a\u76ee\u6807\u5177\u6709\u74f6\u9888\u5f62\u5f0f，\u56e0\u4e3a R_p = min_{e\u2208p} R_e，\u5176\u4e2d R_e \u8868\u793a\u8fb9 e \u7684 EGR\u3002\u56e0\u6b64，\u6700\u5927\u5316\u7aef\u5230\u7aef EGR \u662f\u4e00\u4e2a MAXMIN \u76ee\u6807\u3002\u4fdd\u771f\u5ea6\u76ee\u6807\u662f\u4e58\u6cd5\u7684：F_p = (3\u220f{e\u2208p} W_e + 1)\/4，\u5176\u4e2d W_e \u662f\u8fb9 e \u7684 Werner \u53c2\u6570\u3002\u7531\u4e8e (3x+1)\/4 \u4e25\u683c\u9012\u589e，\u6700\u5927\u5316 F_p \u7b49\u4ef7\u4e8e\u6700\u5927\u5316 \u220f{e\u2208p} W_e\u3002\u5b9a\u4e49\u53d8\u6362\u540e\u7684\u8fb9\u6210\u672c<\/p>\n

    <\/p>\n

    \u56e0\u4e3a 0 < W_e \u2264 1，\u6211\u4eec\u6709 C_e \u2265 0\u3002\u6b64\u5916，<\/p>\n

    <\/p>\n

    \u56e0\u6b64，\u6700\u5927\u5316\u7aef\u5230\u7aef\u4fdd\u771f\u5ea6\u6070\u597d\u7b49\u4ef7\u4e8e\u6700\u5c0f\u5316\u52a0\u6cd5\u8def\u5f84\u6210\u672c\u3002\u56e0\u6b64，\u6240\u63d0\u51fa\u7684\u8def\u7531\u95ee\u9898\u53ef\u4ee5\u5199\u4e3a<\/p>\n

    <\/p>\n

    \u8fd9\u662f\u4e00\u4e2a\u53cc\u51c6\u5219\u8def\u7531\u95ee\u9898，\u7531\u4e00\u4e2a\u74f6\u9888（MAXMIN）\u76ee\u6807\u548c\u4e00\u4e2a\u52a0\u6cd5（MINSUM）\u76ee\u6807\u7ec4\u6210\u3002<\/p>\n

    IV-B \u5e15\u7d2f\u6258\u524d\u6cbf\u7684\u7cbe\u786e\u8ba1\u7b97
    \nMartins[20] \u8868\u660e，\u7531\u4e00\u4e2a\u74f6\u9888\u76ee\u6807\u548c\u4e00\u4e2a\u52a0\u6cd5\u76ee\u6807\u7ec4\u6210\u7684\u53cc\u51c6\u5219\u8def\u7531\u95ee\u9898\u53ef\u4ee5\u901a\u8fc7\u8fed\u4ee3\u6c42\u89e3\u52a0\u6cd5\u6700\u77ed\u8def\u5f84\u95ee\u9898，\u540c\u65f6\u9010\u6b65\u6d88\u9664\u74f6\u9888\u8fb9，\u5728\u591a\u9879\u5f0f\u65f6\u95f4\u5185\u7cbe\u786e\u6c42\u89e3\u3002<\/p>\n

    \u6211\u4eec\u8f6c\u5316\u540e\u7684\u8def\u7531\u95ee\u9898\u5b8c\u5168\u6ee1\u8db3\u8fd9\u4e9b\u7ed3\u6784\u8981\u6c42\u3002\u5728\u6bcf\u6b21\u8fed\u4ee3\u4e2d，\u6211\u4eec\u9996\u5148\u4f7f\u7528 Dijkstra \u7b97\u6cd5\u8ba1\u7b97\u76f8\u5bf9\u4e8e\u53d8\u6362\u540e\u4fdd\u771f\u5ea6\u6210\u672c (4) \u7684\u6700\u5c0f\u6210\u672c\u8def\u5f84\u3002\u4ee4 R_p \u8868\u793a\u6240\u9009\u8def\u5f84\u7684\u74f6\u9888 EGR\u3002\u7531\u4e8e\u5305\u542b EGR \u4e0d\u8d85\u8fc7 R_p \u7684\u8fb9\u7684\u4efb\u4f55\u8def\u5f84\u90fd\u4e0d\u80fd\u4ea7\u751f\u4e25\u683c\u66f4\u5927\u7684\u74f6\u9888\u901f\u7387，\u5728\u4e0b\u4e00\u6b21\u8fed\u4ee3\u524d\u4ece\u56fe\u4e2d\u79fb\u9664\u6240\u6709\u6b64\u7c7b\u8fb9\u3002\u7b97\u6cd5\u968f\u540e\u5728\u7f29\u51cf\u56fe\u4e0a\u91cd\u590d，\u76f4\u5230\u8bf7\u6c42\u7ea0\u7f20\u7684\u7aef\u8282\u70b9\u5bf9\u53d8\u5f97\u4e0d\u8fde\u901a\u3002<\/p>\n

    \u8fd9\u79cd\u8fed\u4ee3\u4fee\u526a\u9010\u6b65\u589e\u52a0\u74f6\u9888 EGR，\u540c\u65f6\u4e3a\u6bcf\u4e2a\u53ef\u8fbe\u74f6\u9888\u503c\u8ba1\u7b97\u6700\u9ad8\u4fdd\u771f\u5ea6\u8def\u5f84\u3002\u6240\u5f97\u8def\u5f84\u5e8f\u5217\u4e3a\u6bcf\u4e2a\u4e0d\u540c\u5e15\u7d2f\u6258\u70b9\u5305\u542b\u4e00\u4e2a\u4ee3\u8868，\u4ece\u800c\u6784\u9020\u6700\u5c0f\u5b8c\u5907\u5e15\u7d2f\u6258\u96c6\u3002<\/p>\n

    IV-C \u590d\u6742\u5ea6\u5206\u6790
    \n\u4efb\u4f55\u8def\u5f84\u7684\u74f6\u9888 EGR \u5fc5\u987b\u7b49\u4e8e\u8be5\u8def\u5f84\u4e0a\u81f3\u5c11\u4e00\u6761\u8fb9\u7684 EGR\u3002\u56e0\u6b64，\u6700\u591a\u6709 |\u2130(t)| \u4e2a\u4e0d\u540c\u74f6\u9888\u8fb9\u3002\u7531\u4e8e\u6bcf\u6b21\u8fed\u4ee3\u79fb\u9664\u6240\u6709\u5177\u6709\u5f53\u524d\u74f6\u9888\u503c\u7684\u8fb9，\u7b97\u6cd5\u6700\u591a\u6267\u884c |\u2130(t)| \u6b21\u8fed\u4ee3\u3002\u6bcf\u6b21\u8fed\u4ee3\u9700\u8981\u5728\u975e\u8d1f\u8fb9\u6210\u672c\u4e0a\u8ba1\u7b97\u4e00\u6b21\u6700\u77ed\u8def\u5f84\u3002\u4f7f\u7528\u5e26\u4e8c\u53c9\u5806\u7684 Dijkstra \u7b97\u6cd5，\u603b\u4f53\u590d\u6742\u5ea6\u4e3a O(|\u2130(t)|(|\u2130(t)|+|𝒱|) log |𝒱|)，\u8fd9\u5728\u7f51\u7edc\u89c4\u6a21\u4e0a\u662f\u591a\u9879\u5f0f\u7684\u3002<\/p>\n

    IV-D \u4ece\u5e15\u7d2f\u6258\u524d\u6cbf\u9009\u62e9\u8def\u5f84
    \n\u6240\u63d0\u51fa\u7684\u8def\u7531\u6846\u67b6\u8ba1\u7b97\u5b8c\u6574\u5e15\u7d2f\u6258\u524d\u6cbf，\u66b4\u9732\u7ed9\u5b9a\u6700\u7ec8\u7528\u6237\u5bf9\u7684\u6240\u6709\u9ad8\u6548\u8def\u7531\u66ff\u4ee3\u65b9\u6848\u3002\u7136\u800c，\u5b9e\u9645\u4e2d\u4ec5\u4f7f\u7528\u5355\u6761\u8def\u5f84\u5206\u53d1\u7ea0\u7f20\u3002\u56e0\u6b64\u6700\u7ec8\u8def\u7531\u53d6\u51b3\u4e8e\u8bf7\u6c42\u7ea0\u7f20\u7684\u5e94\u7528\u76ee\u6807\u3002<\/p>\n

    \u4ee4 𝒫_sd* \u8868\u793a\u7b2c IV-B \u8282\u8ba1\u7b97\u7684\u5e15\u7d2f\u6258\u6700\u4f18\u8def\u5f84\u96c6\u3002\u7ed9\u5b9a\u5e94\u7528\u7279\u5b9a\u6548\u7528\u51fd\u6570 U(R_p, F_p)，\u7f51\u7edc\u63a7\u5236\u5668\u9009\u62e9\u8def\u5f84<\/p>\n

    <\/p>\n

    \u8be5\u8868\u8ff0\u901a\u8fc7\u4e0d\u540c\u6548\u7528\u51fd\u6570\u9002\u5e94\u5404\u79cd\u91cf\u5b50\u5e94\u7528\u9700\u6c42\u3002\u6211\u4eec\u8003\u8651\u4e09\u79cd\u4ee3\u8868\u6027\u6548\u7528[33]：<\/p>\n

    (i) \u79d8\u5bc6\u5bc6\u94a5\u7387（SKR）：\u57fa\u4e8e\u91cf\u5b50\u5bc6\u94a5\u5206\u53d1\u7684\u5e94\u7528[1]\u53ef\u4ee5\u9009\u62e9\u6700\u5927\u5316\u53ef\u5b9e\u73b0\u79d8\u5bc6\u5bc6\u94a5\u7387\u7684\u5e15\u7d2f\u6258\u6700\u4f18\u8def\u5f84\u3002\u5f53\u7ea0\u7f20\u6001\u4e3a Werner \u6001\u65f6，\u7ed9\u5b9a\u8def\u5f84 p \u5b9e\u73b0\u7684\u79d8\u5bc6\u5bc6\u94a5\u7387\u4e3a<\/p>\n

    <\/p>\n

    \u5176\u4e2d h \u662f\u4e8c\u5143\u71b5\u51fd\u6570\u3002<\/p>\n

    (ii) \u7ea0\u7f20\u8d1f\u5ea6：\u8d1f\u5ea6\u6355\u6349\u53cc\u90e8\u5206\u6001\u7684\u7ea0\u7f20\u91cf，\u6548\u7528\u4e3a[33]<\/p>\n

    <\/p>\n

    (iii) \u53ef\u84b8\u998f\u7ea0\u7f20：\u7c7b\u4f3c\u5730，\u9700\u8981\u9ad8\u8d28\u91cf\u7ea0\u7f20\u7684\u5e94\u7528\u53ef\u4ee5\u9009\u62e9\u6700\u5927\u5316\u53ef\u5b9e\u73b0\u53ef\u84b8\u998f\u7ea0\u7f20\u7684\u8def\u5f84[33]<\/p>\n

    <\/p>\n

    \u7531\u4e8e\u6700\u5c0f\u5b8c\u5907\u5e15\u7d2f\u6258\u6700\u4f18\u8def\u5f84\u53ea\u8ba1\u7b97\u4e00\u6b21，\u652f\u6301\u4e0d\u540c\u5e94\u7528\u53ea\u9700\u5728\u5e15\u7d2f\u6258\u524d\u6cbf\u4e0a\u8bc4\u4f30\u76f8\u5e94\u6548\u7528，\u800c\u65e0\u9700\u91cd\u65b0\u8fd0\u884c\u8def\u7531\u7b97\u6cd5\u3002<\/p>\n

    \u5f53\u5e94\u7528\u7279\u5b9a\u6548\u7528\u4e0d\u53ef\u7528\u65f6，\u63a7\u5236\u5668\u53ef\u4ee5\u9009\u62e9\u5e73\u8861 EGR \u548c\u4fdd\u771f\u5ea6\u7684\u8def\u5f84\u3002\u4ee4 R\u0304_p = (R_p \u2212 R_min)\/(R_max \u2212 R_min)，F\u0304_p = (F_p \u2212 F_min)\/(F_max \u2212 F_min)\u3002\u8fd9\u91cc，R_max = max_{q\u2208𝒫_sd} R_q，F_max = max_{q\u2208𝒫_sd} F_q\u3002\u7c7b\u4f3c\u5730，R_min = min_{q\u2208𝒫_sd} R_q，F_min = min_{q\u2208𝒫_sd} F_q\u3002\u7136\u540e\u4f7f\u7528\u4e4c\u6258\u90a6\u70b9[34]\u4f5c\u4e3a\u53c2\u8003，\u5bf9\u5e94\u4e8e\u540c\u65f6\u5b9e\u73b0\u6700\u5927 EGR \u548c\u6700\u5927\u4fdd\u771f\u5ea6\u7684\u5047\u8bbe\u70b9\u3002\u7531\u4e8e\u8be5\u70b9\u901a\u5e38\u4e0d\u53ef\u8fbe，\u63a7\u5236\u5668\u9009\u62e9\u6700\u63a5\u8fd1\u5b83\u7684\u5e15\u7d2f\u6258\u6700\u4f18\u8def\u5f84\u3002\u5728\u52a0\u6743\u4e4c\u6258\u90a6\u70b9\u65b9\u6cd5\u4e0b，\u7ed9\u5b9a\u6743\u91cd \u03c9_R \u548c \u03c9_F，\u5176\u4e2d \u03c9_R, \u03c9_F \u2265 0 \u4e14 \u03c9_R + \u03c9_F = 1，\u63a7\u5236\u5668\u9009\u62e9<\/p>\n

    <\/p>\n

    \u6743\u91cd\u5141\u8bb8\u63a7\u5236\u5668\u8c03\u6574 EGR \u548c\u4fdd\u771f\u5ea6\u7684\u76f8\u5bf9\u91cd\u8981\u6027\u3002<\/p>\n

    V \u6027\u80fd\u8bc4\u4f30
    \n\u5728\u672c\u8282\u4e2d，\u6211\u4eec\u5728\u6df7\u5408\u5730\u9762\u2013\u536b\u661f\u91cf\u5b50\u7f51\u7edc\u4e0a\u8bc4\u4f30\u6240\u63d0\u51fa\u7684\u5e15\u7d2f\u6258\u8def\u7531（Pareto）\u6846\u67b6，\u5e76\u5c06\u5176\u6027\u80fd\u4e0e\u51e0\u79cd\u8def\u7531\u57fa\u7ebf\u8fdb\u884c\u6bd4\u8f83\u3002\u6211\u4eec\u9996\u5148\u63cf\u8ff0\u7f51\u7edc\u8bbe\u7f6e\u548c\u4eff\u771f\u53c2\u6570\u3002<\/p>\n

    <\/p>\n

    \u56fe 3：\u7f8e\u56fd\u4e0a\u7a7a\u6a21\u62df\u6df7\u5408\u91cf\u5b50\u7f51\u7edc\u62d3\u6251\u3002\u8be5\u7f51\u7edc\u5c06 1000 \u4e2a\u4f4d\u4e8e\u4e3b\u8981\u4eba\u53e3\u4e2d\u5fc3\u7684\u5149\u7ea4\u7aef\u8282\u70b9\u4e0e 10 \u4e2a\u6218\u7565\u9009\u62e9\u7684\u5149\u5b66\u5730\u9762\u7ad9（OGS）\u96c6\u6210\u3002\u5b9e\u7ebf（\u7eff\u8272\u548c\u7070\u8272）\u8868\u793a\u9759\u6001\u5730\u9762\u8fb9，\u865a\u7ebf（\u84dd\u8272）\u8868\u793a\u7f51\u7edc\u5feb\u7167\u7684\u536b\u661f\u8f85\u52a9\u865a\u62df\u8fb9\u3002<\/p>\n

    V-A \u4eff\u771f\u8bbe\u7f6e
    \n\u6211\u4eec\u4f7f\u7528 Python 3 \u5f00\u53d1\u7684\u79bb\u6563\u65f6\u95f4\u4eff\u771f\u5668\u8bc4\u4f30\u6240\u63d0\u51fa\u7684\u8def\u7531\u6846\u67b6，\u4f7f\u7528 PyEphem\u3001Matplotlib\u3001Networkx\u3001NumPy \u548c global-land-mask \u7b49\u7b2c\u4e09\u65b9\u5305\u3002<\/p>\n

    \u5730\u9762\u7f51\u7edc\u3002 \u6211\u4eec\u5728\u7f8e\u56fd\u5927\u9646\u6a21\u62df\u5730\u9762\u7f51\u7edc，|𝒱| = 1010 \u4e2a\u5730\u9762\u8282\u70b9\u3002\u4e3a\u51c6\u786e\u53cd\u6620\u73b0\u5b9e\u7528\u6237\u9700\u6c42\u5206\u5e03，\u4ece [35] \u6570\u636e\u96c6\u4e2d\u7684\u524d\u4eba\u53e3\u4e2d\u5fc3\u9009\u62e9 |𝒱_f| = 1000 \u4e2a\u5149\u7ea4\u7aef\u8282\u70b9\u3002\u6b64\u5916，\u57fa\u4e8e\u73b0\u6709\u6216\u8ba1\u5212\u7684\u7814\u7a76\u57fa\u7840\u8bbe\u65bd\u6218\u7565\u9009\u62e9 |𝒱_g| = 10 \u4e2a OGS（\u89c1\u56fe 3）\u3002<\/p>\n

    \u536b\u661f\u7f51\u7edc\u3002 \u6211\u4eec\u4f7f\u7528 Starlink LEO \u661f\u5ea7\u4ee3\u8868\u536b\u661f\u5c42\u3002\u4f7f\u7528\u516c\u5f00\u53ef\u7528\u7684\u4e24\u884c\u5143\u7d20（TLE）\u6570\u636e\u8ddf\u8e2a\u5206\u5e03\u5728\u56db\u4e2a\u8f68\u9053\u503e\u89d2（43\u00b0\u300153\u00b0\u300170\u00b0 \u548c 97\u00b0）\u7684 3,980 \u9897\u536b\u661f\u7684\u4f4d\u7f6e\u3002\u4ec5\u5f53\u536b\u661f\u4ef0\u89d2\u8d85\u8fc7 20\u00b0 \u65f6，\u624d\u8ba4\u4e3a\u5176\u5bf9 OGS \u53ef\u89c1\u3002\u5728\u6bcf\u4e2a\u65f6\u9699，\u6211\u4eec\u5e94\u7528\u7b2c III \u8282\u63cf\u8ff0\u7684\u8d2a\u5fc3\u8c03\u5ea6\u7b97\u6cd5\u5efa\u7acb\u536b\u661f\u8f85\u52a9\u865a\u62df\u8fb9\u3002\u5177\u4f53\u800c\u8a00，\u5bf9\u4e8e\u540c\u65f6\u89c2\u5bdf\u5230\u540c\u4e00\u536b\u661f\u7684\u4efb\u4f55 OGS \u5bf9 (g1, g2)，\u5728\u6ee1\u8db3\u7b2c III \u8282\u536b\u661f\u5206\u914d\u7ea6\u675f\u4e0b\u521b\u5efa\u865a\u62df\u8fb9 e(g1, g2) \u2208 \u2130_s(t)\u3002\u536b\u661f\u8f85\u52a9\u8fb9\u96c6 \u2130_s(t) \u968f\u536b\u661f\u53ef\u89c1\u6027\u53d8\u5316\u968f\u65f6\u95f4\u53d8\u5316\u3002<\/p>\n

    \u6bd4\u8f83\u8def\u7531\u7b56\u7565\u3002 \u6211\u4eec\u5c06\u6240\u63d0\u51fa\u7684\u5e15\u7d2f\u6258\u8def\u7531（Pareto）\u7b56\u7565\u4e0e\u4e09\u79cd\u4ee3\u8868\u6027\u8def\u7531\u7b56\u7565\u8fdb\u884c\u6bd4\u8f83\u3002\u9664\u975e\u53e6\u6709\u8bf4\u660e，\u6211\u4eec\u4f7f\u7528\u7b2c IV-D \u8282\u63cf\u8ff0\u7684\u4e4c\u6258\u90a6\u70b9\u65b9\u6cd5\u4ece\u5e15\u7d2f\u6258\u524d\u6cbf\u9009\u62e9\u8def\u5f84\u3002<\/p>\n

    \u2022 \u6700\u5927\u4fdd\u771f\u5ea6（Max-Fidelity）：\u9009\u62e9\u7aef\u5230\u7aef\u4fdd\u771f\u5ea6\u6700\u9ad8\u7684\u8def\u5f84，\u4e0d\u8003\u8651\u5176 EGR\u3002
    \n\u2022 \u4fdd\u771f\u5ea6\u7ea6\u675f\u6700\u5927 EGR（FC-MaxEGR）：\u5728\u6ee1\u8db3\u6700\u5c0f\u4fdd\u771f\u5ea6\u8981\u6c42\u7684\u8def\u5f84\u4e2d\u9009\u62e9 EGR \u6700\u9ad8\u7684\u8def\u5f84\u3002\u4e0e Max-Fidelity \u4e0d\u540c，\u8be5\u7b56\u7565\u540c\u65f6\u8003\u8651 EGR \u548c\u4fdd\u771f\u5ea6，\u4f46\u8fd4\u56de\u7531\u6240\u9009\u4fdd\u771f\u5ea6\u9608\u503c\u51b3\u5b9a\u7684\u5355\u6761\u8def\u5f84\u3002\u9664\u975e\u53e6\u6709\u8bf4\u660e，\u6211\u4eec\u5c06\u8be5\u9608\u503c\u8bbe\u4e3a 0.5\u3002
    \n\u2022 \u57fa\u4e8e\u8ddd\u79bb（Distance-Based）：\u4f7f\u7528\u6700\u7ec8\u7528\u6237\u4e4b\u95f4\u7684\u5730\u7406\u8ddd\u79bb\u51b3\u5b9a\u4f7f\u7528\u5730\u9762\u8fd8\u662f\u536b\u661f\u8f85\u52a9\u8def\u7531[13]\u3002\u4f4e\u4e8e\u8ddd\u79bb\u9608\u503c\u7684\u8bf7\u6c42\u901a\u8fc7\u5730\u9762\u7f51\u7edc\u8def\u7531，\u9ad8\u4e8e\u9608\u503c\u7684\u8bf7\u6c42\u53ef\u4ee5\u4f7f\u7528\u536b\u661f\u8f85\u52a9\u865a\u62df\u94fe\u8def\u3002\u6211\u4eec\u5728\u4e0b\u4e00\u5c0f\u8282\u63cf\u8ff0\u8be5\u9608\u503c\u7684\u9009\u62e9\u3002<\/p>\n

    \u53c2\u6570\u9009\u62e9\u3002 \u6240\u63d0\u51fa\u7684\u8def\u7531\u6846\u67b6\u5f15\u5165\u4e24\u4e2a\u7cfb\u7edf\u53c2\u6570，\u63a7\u5236\u5730\u9762\u62d3\u6251\u6784\u5efa\u548c\u57fa\u4e8e\u8ddd\u79bb\u7684\u8def\u7531\u542f\u53d1\u5f0f\u64cd\u4f5c\u3002<\/p>\n

    \u56fe 4(a) \u663e\u793a\u4e86\u57fa\u672c\u5149\u7ea4\u8fb9\u53ef\u5b9e\u73b0\u7684 EGR \u4e0e\u8fb9\u957f\u5ea6\u7684\u51fd\u6570\u5173\u7cfb\u3002\u8d85\u8fc7\u7ea6 d_rep \u540e，EGR \u8fc5\u901f\u4e0b\u964d，\u964d\u81f3\u865a\u62df\u8fb9\u901f\u7387\u51e0\u4f55\u5e73\u5747\u503c（\u224810^5）\u4ee5\u4e0b\u3002\u6211\u4eec\u5c06\u6bcf\u4e2a\u57fa\u672c\u5149\u7ea4\u8fb9\u7684\u957f\u5ea6\u9650\u5236\u4e3a d_rep = 110 km，\u6bcf\u5f53\u5149\u7ea4\u8fde\u63a5\u8d85\u8fc7\u8be5\u8ddd\u79bb\u65f6\u63d2\u5165\u4e2d\u95f4\u4e2d\u7ee7\u5668\u3002\u8fd9\u786e\u4fdd\u7ea0\u7f20\u4ec5\u5728\u7269\u7406\u53ef\u884c\u7684\u57fa\u672c\u94fe\u8def\u4e0a\u751f\u6210，\u800c\u66f4\u957f\u7684\u7aef\u5230\u7aef\u8fde\u63a5\u901a\u8fc7\u7ea0\u7f20\u4ea4\u6362\u5efa\u7acb\u3002<\/p>\n

    \u6b64\u5916，\u6211\u4eec\u5728\u5730\u7406\u8ddd\u79bb\u9608\u503c d_rep = 110 km \u5185\u5efa\u7acb\u76f8\u90bb\u8282\u70b9\u4e4b\u95f4\u7684\u76f4\u63a5\u5730\u9762\u8fde\u63a5\u3002\u6700\u521d，\u8fd9\u5bfc\u81f4\u5730\u9762\u62d3\u6251\u4e2d\u6709 94 \u4e2a\u4e0d\u8fde\u901a\u5206\u91cf\u3002\u968f\u540e，\u4e3a\u5efa\u7acb\u5168\u5c40\u8fde\u901a\u7f51\u7edc，\u6211\u4eec\u5e94\u7528\u51dd\u805a\u5355\u94fe\u63a5\u805a\u7c7b\u7b97\u6cd5（\u6216\u6700\u8fd1\u90bb\u6280\u672f）[30]\u3002\u7ed3\u679c，\u9759\u6001\u5730\u9762\u8fb9\u603b\u6570\u589e\u52a0\u5230 |\u2130_t| = 28777，\u6700\u957f\u8fb9\u957f\u5ea6\u4e3a 379 km，\u8fde\u63a5\u4e00\u4e2a\u4e0d\u8fde\u901a\u5206\u91cf\u5e76\u9700\u8981 3 \u4e2a\u4e2d\u95f4\u4e2d\u7ee7\u5668\u3002\u56fe 3 \u663e\u793a\u4e86\u6240\u5f97\u62d3\u6251\u3002<\/p>\n

    \u57fa\u4e8e\u8ddd\u79bb\u7684\u8def\u7531\u7b56\u7565\u5bf9\u9644\u8fd1\u6700\u7ec8\u7528\u6237\u5bf9\u4f7f\u7528\u5730\u9762\u5149\u7ea4，\u5bf9\u8db3\u591f\u5206\u79bb\u7684\u5bf9\u4f7f\u7528\u536b\u661f\u8f85\u52a9\u865a\u62df\u94fe\u8def\u3002\u4e3a\u786e\u5b9a\u8be5\u5207\u6362\u9608\u503c d_switch，\u6211\u4eec\u9996\u5148\u5c06\u5269\u4f59\u8def\u7531\u7b56\u7565\u5e94\u7528\u4e8e\u6240\u6709\u6700\u7ec8\u7528\u6237\u5bf9，\u5e76\u8bb0\u5f55\u5176\u9009\u62e9\u7684\u8def\u5f84\u662f\u5426\u5305\u542b\u536b\u661f\u8f85\u52a9\u865a\u62df\u94fe\u8def\u3002\u56fe 4(b) \u663e\u793a\u4e86\u5229\u7528\u536b\u661f\u5c42\u7684\u8def\u7531\u51b3\u7b56\u6bd4\u4f8b\u4e0e\u6700\u7ec8\u7528\u6237\u5730\u7406\u95f4\u9694\u7684\u51fd\u6570\u5173\u7cfb\u3002\u536b\u661f\u8f85\u52a9\u8def\u7531\u5728\u8d85\u8fc7 d_switch \u540e\u8d8a\u6765\u8d8a\u53d7\u504f\u597d，\u53cd\u6620\u51fa\u81ea\u7531\u7a7a\u95f4\u4f20\u8f93\u7684\u957f\u8ddd\u79bb\u4f18\u52bf\u8d85\u8fc7\u5730\u9762\u5149\u7ea4\u8870\u51cf\u7684\u70b9\u3002\u56e0\u6b64\u6211\u4eec\u5728\u5176\u4f59\u8bc4\u4f30\u4e2d\u4f7f\u7528\u8be5\u503c\u4f5c\u4e3a\u57fa\u4e8e\u8ddd\u79bb\u8def\u7531\u7b56\u7565\u7684\u5207\u6362\u9608\u503c\u3002<\/p>\n

    <\/p>\n

    \u56fe 4：(a) \u4e2d\u7ee7\u5668\u95f4\u8ddd d_rep \u7684\u9009\u62e9，\u4ee5\u53ca (b) \u57fa\u7ebf\u57fa\u4e8e\u8ddd\u79bb\u8def\u7531\u4e2d\u4f7f\u7528\u7684\u5929\u5730\u5207\u6362\u8ddd\u79bb d_switch\u3002<\/p>\n

    <\/p>\n

    \u56fe 5：24 \u5c0f\u65f6\u5185\u536b\u661f\u8f85\u52a9\u865a\u62df\u8fb9\u96c6 \u2130_s(t) \u7684\u65f6\u95f4\u7279\u5f81\u3002\u767d\u5929\u592a\u9633\u80cc\u666f\u566a\u58f0\u964d\u4f4e\u536b\u661f\u8f85\u52a9\u865a\u62df\u94fe\u8def\u7684\u5e73\u5747\u4fdd\u771f\u5ea6，\u800c\u591c\u95f4\u6761\u4ef6\u63d0\u4f9b\u59cb\u7ec8\u66f4\u9ad8\u8d28\u91cf\u7684\u94fe\u8def\u3002<\/p>\n

    \u4fe1\u9053\u635f\u8017\u548c\u566a\u58f0\u3002 \u6211\u4eec\u4e3a\u5730\u9762\u5149\u7ea4\u8fb9\u8bbe\u7f6e\u8870\u51cf\u7cfb\u6570 \u03b2 = 0.2 dB\/km，\u5e76\u4e3a FSO \u900f\u5c04\u7387\u8ba1\u7b97\u5047\u8bbe\u5730\u9762\u4ee5\u4e0a\u5927\u6c14\u539a\u5ea6\u4e3a 5 km\u3002<\/p>\n

    \u6211\u4eec\u8fd0\u884c\u4eff\u771f 24 \u5c0f\u65f6\u4ee5\u8003\u8651\u81ea\u7531\u7a7a\u95f4\u4fe1\u9053\u4e2d\u7684\u52a8\u6001\u73af\u5883\u566a\u58f0\u3002\u6211\u4eec\u5c06\u6bcf\u5929\u5206\u4e3a\u767d\u5929（\u4e0a\u5348 6:00 \u81f3\u4e0b\u5348 6:00）\u548c\u591c\u95f4（\u4e0b\u5348 6:00 \u81f3\u4e0a\u5348 6:00）\u65f6\u6bb5\u3002\u7a7a\u95f4\u5c42\u7684\u80cc\u666f\u566a\u58f0\u6216\u63a2\u6d4b\u5668\u6697\u8ba1\u6570\u6982\u7387\u5728\u767d\u5929\u8bbe\u4e3a\u8f83\u9ad8\u503c（P_d = 3\u00d710^{\u22123}），\u4e3b\u8981\u7531\u4e8e\u592a\u9633\u53d1\u5c04\u7684\u80cc\u666f\u5149\u5b50，\u591c\u95f4\u8bbe\u4e3a\u8f83\u4f4e\u503c（P_d = 3\u00d710^{\u22126}）\u3002<\/p>\n

    V-B \u865a\u62df\u94fe\u8def\u7279\u5f81
    \n\u6211\u4eec\u5206\u6790 24 \u5c0f\u65f6\u5185\u536b\u661f\u8f85\u52a9\u865a\u62df\u94fe\u8def \u2130_s(t) \u7684\u7279\u5f81\u3002\u56fe 5 \u663e\u793a，\u591c\u95f4 FSO \u94fe\u8def\u4fdd\u6301\u51e0\u4e4e\u6052\u5b9a\u7684\u9ad8\u5e73\u5747\u4fdd\u771f\u5ea6（\u22480.97）\u548c\u901f\u7387（>10^5），\u800c\u5728\u767d\u5929\u65f6\u6bb5，\u6211\u4eec\u89c2\u5bdf\u5230\u5e73\u5747\u4fdd\u771f\u5ea6\u4e0b\u964d\u7ea6 18%，\u7aef\u5230\u7aef EGR \u589e\u52a0\u3002\u5bf9\u4e8e\u5305\u542b\u591a\u4e2a\u536b\u661f\u8f85\u52a9\u94fe\u8def\u7684\u8def\u5f84，\u8fd9\u79cd\u9000\u5316\u53ef\u80fd\u66f4\u4e25\u91cd，\u9650\u5236\u4e86\u536b\u661f\u5c42\u5355\u72ec\u5728\u767d\u5929\u63d0\u4f9b\u8fde\u7eed\u670d\u52a1\u7684\u80fd\u529b\u3002<\/p>\n

    <\/p>\n

    \u56fe 6：\u4e24\u4e2a\u4ee3\u8868\u6027\u6700\u7ec8\u7528\u6237\u5bf9\u5728 12 \u5c0f\u65f6\u5185\u7aef\u5230\u7aef\u4fdd\u771f\u5ea6\u548c\u7ea0\u7f20\u751f\u6210\u901f\u7387（EGR）\u7684\u65f6\u95f4\u6f14\u5316\u3002\u7ed3\u679c\u6bd4\u8f83\u6240\u63d0\u51fa\u7684\u53cc\u76ee\u6807\u8def\u7531\u7b56\u7565（Pareto）\u4e0e Max-Fidelity\u3001FC-MaxEGR \u548c Distance-Based \u57fa\u7ebf\u3002(a) Iselin, NJ \u5230 Chicago Ridge, IL（\u4e2d\u7b49\u8ddd\u79bb）\u3002(b) Ann Arbor, MI \u5230 North Highlands, CA（\u957f\u8ddd\u79bb）\u3002<\/p>\n

    V-C \u7b97\u6cd5\u8bc4\u4f30
    \n\u4e3a\u8bc4\u4f30\u8def\u7531\u7b97\u6cd5\u7684\u65f6\u95f4\u6027\u80fd，\u6211\u4eec\u5728 24 \u5c0f\u65f6\u5185\u4ee5 10 \u79d2\u95f4\u9694\u8ddf\u8e2a 100 \u4e2a\u968f\u673a\u9009\u62e9\u7684\u6e90\u2013\u76ee\u7684\u5730\u5bf9 (s,d) \u2208 𝒱 \u4e4b\u95f4\u5efa\u7acb\u7684\u6700\u4f18\u8def\u5f84，\u5171 8640 \u4e2a\u65f6\u9699\u3002\u4e3a\u66f4\u597d\u7406\u89e3\u8def\u7531\u4e2d\u6e90\u2013\u76ee\u7684\u5730\u5206\u79bb\u7684\u5f71\u54cd，\u6211\u4eec\u6839\u636e\u5730\u7406\u8ddd\u79bb\u5c06\u8fd9\u4e9b\u5bf9\u5206\u4e3a\u4e09\u7c7b：\u77ed\u8ddd\u79bb（\u22641000 km，30 \u5bf9）\u3001\u4e2d\u8ddd\u79bb（>1000 km \u4e14 \u22642000 km，34 \u5bf9）\u548c\u957f\u8ddd\u79bb（>2000 km，36 \u5bf9）\u3002\u5bf9\u4e8e\u6bcf\u5bf9\u548c\u65f6\u9699，\u6211\u4eec\u8bb0\u5f55\u6240\u9009\u8def\u5f84\u3001\u5176\u7aef\u5230\u7aef EGR \u548c\u4fdd\u771f\u5ea6\u3002<\/p>\n

    \u6211\u4eec\u9996\u5148\u6bd4\u8f83\u4e24\u4e2a\u4ee3\u8868\u6027\u6700\u7ec8\u7528\u6237\u5bf9\u7684\u8def\u7531\u7b56\u7565\u65f6\u95f4\u884c\u4e3a：\u65b0\u6cfd\u897f\u5dde Iselin \u548c\u4f0a\u5229\u8bfa\u4f0a\u5dde Chicago Ridge \u4e4b\u95f4\u7684\u4e2d\u8ddd\u79bb\u5bf9（1132.63 km），\u4ee5\u53ca\u5bc6\u6b47\u6839\u5dde Ann Arbor \u548c\u52a0\u5229\u798f\u5c3c\u4e9a\u5dde North Highlands \u4e4b\u95f4\u7684\u957f\u8ddd\u79bb\u5bf9（3178.55 km）\u3002\u56fe 6 \u62a5\u544a\u4e86\u5404\u7b56\u7565\u5728 12 \u5c0f\u65f6\u5185\u5b9e\u73b0\u7684\u7aef\u5230\u7aef EGR \u548c\u4fdd\u771f\u5ea6\u3002<\/p>\n

    \u5bf9\u4e8e\u4e2d\u8ddd\u79bb\u5bf9，Max-Fidelity \u4fdd\u6301\u9ad8\u4fdd\u771f\u5ea6\u4f46 EGR \u76f8\u5bf9\u8f83\u4f4e，\u800c FC-MaxEGR \u5b9e\u73b0\u9ad8\u5f97\u591a\u7684 EGR，\u4f46\u4fdd\u771f\u5ea6\u8f83\u4f4e\u4e14\u66f4\u53ef\u53d8\u3002Pareto \u8def\u7531\u5728\u8fd9\u4e24\u4e2a\u6781\u7aef\u4e4b\u95f4\u9009\u62e9\u8def\u5f84，\u5b9e\u73b0\u6bd4 Max-Fidelity \u66f4\u9ad8\u7684 EGR，\u540c\u65f6\u4fdd\u6301\u6bd4 FC-MaxEGR \u66f4\u9ad8\u7684\u4fdd\u771f\u5ea6\u3002<\/p>\n

    \u5bf9\u4e8e\u957f\u8ddd\u79bb\u5bf9，\u6240\u6709\u7b56\u7565\u5728\u8f83\u4f4e\u4fdd\u771f\u5ea6\u4e0b\u8fd0\u884c\u3002Max-Fidelity \u4fdd\u6301\u6700\u9ad8\u4fdd\u771f\u5ea6\u4f46 EGR \u4f4e\u3002Pareto \u8def\u7531\u548c FC-MaxEGR \u5728\u6240\u9009\u4fdd\u771f\u5ea6\u9608\u503c\u4e0b\u9009\u62e9\u76f8\u4f3c\u8def\u5f84，\u56e0\u6b64\u5b83\u4eec\u5728 EGR \u548c\u4fdd\u771f\u5ea6\u65b9\u9762\u7684\u6027\u80fd\u51e0\u4e4e\u76f8\u540c\u3002Distance-Based \u8def\u7531\u5728 EGR \u548c\u4fdd\u771f\u5ea6\u65b9\u9762\u90fd\u663e\u793a\u51fa\u8f83\u5927\u53d8\u5316\u3002<\/p>\n

    \u56fe 7(a) \u6bd4\u8f83\u4e86\u6240\u6709\u6700\u7ec8\u7528\u6237\u5bf9\u4e0a\u8def\u7531\u7b56\u7565\u7684\u5e73\u5747 EGR \u548c\u4fdd\u771f\u5ea6\u3002Max-Fidelity \u5b9e\u73b0\u6700\u9ad8\u5e73\u5747\u4fdd\u771f\u5ea6\u4f46\u6700\u4f4e EGR，\u800c FC-MaxEGR \u5b9e\u73b0\u6700\u9ad8 EGR \u4f46\u4fdd\u771f\u5ea6\u8f83\u4f4e\u3002Pareto \u8def\u7531\u4f4d\u4e8e\u8fd9\u4e24\u4e2a\u6781\u7aef\u4e4b\u95f4\u3002Distance-Based \u8def\u7531\u7684\u4fdd\u771f\u5ea6\u548c EGR \u5747\u4f4e\u4e8e Pareto \u8def\u7531\u3002\u8be5\u56fe\u8fd8\u663e\u793a\u4e86\u7eaf\u5730\u9762\u7f51\u7edc\u7684\u76f8\u5e94\u7ed3\u679c\u3002\u6dfb\u52a0\u536b\u661f\u8f85\u52a9\u94fe\u8def\u63d0\u9ad8\u4e86\u6240\u6709\u8def\u7531\u7b56\u7565\u7684\u5e73\u5747 EGR \u548c\u4fdd\u771f\u5ea6\u3002<\/p>\n

    \u56fe 7(b) \u663e\u793a\u4e86\u5355\u4e2a\u65f6\u9699\u4e2d\u6355\u83b7\u7684\u4e2d\u7b49\u8ddd\u79bb\u6700\u7ec8\u7528\u6237\u5bf9\u7684\u5e15\u7d2f\u6258\u524d\u6cbf\u3002\u5e15\u7d2f\u6258\u8def\u5f84\u8de8\u8d8a\u5e7f\u6cdb\u7684 EGR \u548c\u4fdd\u771f\u5ea6\u503c\u3002Max-Fidelity \u9009\u62e9\u524d\u6cbf\u7684\u9ad8\u4fdd\u771f\u5ea6\u7aef，\u800c FC-MaxEGR \u9009\u62e9\u9ad8 EGR \u8def\u5f84\u3002Pareto \u8def\u7531\u9009\u62e9\u7684\u8def\u5f84\u53d6\u51b3\u4e8e\u5206\u914d\u7ed9\u4e24\u4e2a\u76ee\u6807\u7684\u6743\u91cd\u3002\u589e\u52a0 \u03c9_R \u4f7f\u6240\u9009\u8def\u5f84\u5411\u66f4\u9ad8 EGR \u79fb\u52a8，\u800c\u589e\u52a0 \u03c9_F \u4f7f\u5176\u5411\u66f4\u9ad8\u4fdd\u771f\u5ea6\u79fb\u52a8\u3002\u4f8b\u5982，\u5c06 (\u03c9_F, \u03c9_R) \u4ece (0.9, 0.1) \u6539\u4e3a (0.5, 0.5) \u4f7f\u6240\u9009 EGR \u4ece 4.64\u00d710^4 \u589e\u52a0\u5230 1.32\u00d710^5，\u800c\u4fdd\u771f\u5ea6\u4ece 0.945 \u964d\u81f3 0.915\u3002<\/p>\n

    \u56e0\u6b64，\u5e15\u7d2f\u6258\u524d\u6cbf\u53ef\u4ee5\u8ba1\u7b97\u4e00\u6b21\u3002\u8fd9\u4f7f\u7f51\u7edc\u63a7\u5236\u5668\u80fd\u591f\u5c06\u6700\u7ec8\u8def\u7531\u51b3\u7b56\u63a8\u8fdf\u5230\u5e94\u7528\u6548\u7528\u5df2\u77e5\u65f6，\u5141\u8bb8\u4e0d\u540c\u5e94\u7528\u9009\u62e9\u4e0d\u540c\u64cd\u4f5c\u70b9\u800c\u65e0\u9700\u91cd\u65b0\u8fd0\u884c\u8def\u7531\u7b97\u6cd5\u3002\u5982\u4e0b\u4e00\u5c0f\u8282\u6240\u793a，\u8fd9\u79cd\u7075\u6d3b\u6027\u76f4\u63a5\u8f6c\u5316\u4e3a\u6bd4\u57fa\u7ebf\u8def\u7531\u7b56\u7565\u66f4\u9ad8\u7684\u805a\u5408\u5e94\u7528\u6548\u7528\u3002<\/p>\n

    <\/p>\n

    \u56fe 7：\u8def\u7531\u7b56\u7565\u6bd4\u8f83\u3002(a) \u5e73\u5747\u7aef\u5230\u7aef EGR \u548c\u4fdd\u771f\u5ea6\u3002(b) \u4e2d\u7b49\u8ddd\u79bb\u7528\u6237\u5bf9\u7684\u5e15\u7d2f\u6258\u524d\u6cbf\u3002<\/p>\n

    V-D \u5e94\u7528\u611f\u77e5\u8def\u7531\u6027\u80fd
    \n\u6211\u4eec\u63a5\u4e0b\u6765\u8bc4\u4f30\u66b4\u9732\u5b8c\u6574\u5e15\u7d2f\u6258\u524d\u6cbf\u662f\u5426\u8f6c\u5316\u4e3a\u6539\u8fdb\u7684\u5e94\u7528\u6027\u80fd\u3002\u4e3a\u6b64，\u6211\u4eec\u751f\u6210\u6df7\u5408\u5de5\u4f5c\u8d1f\u8f7d，\u5176\u4e2d\u6bcf\u4e2a\u7ea0\u7f20\u8bf7\u6c42\u72ec\u7acb\u5206\u914d\u4e09\u79cd\u4ee3\u8868\u6027\u5e94\u7528\u6548\u7528\u4e4b\u4e00：\u79d8\u5bc6\u5bc6\u94a5\u7387（SKR）\u3001\u8d1f\u5ea6（NEG）\u6216\u53ef\u84b8\u998f\u7ea0\u7f20（DE）\u3002\u5bf9\u4e8e Pareto \u8def\u7531（PR），\u63a7\u5236\u5668\u9996\u5148\u8ba1\u7b97\u5b8c\u6574\u5e15\u7d2f\u6258\u524d\u6cbf，\u7136\u540e\u9009\u62e9\u6700\u5927\u5316\u76f8\u5e94\u5e94\u7528\u6548\u7528\u7684\u8def\u5f84\u3002\u5176\u4f59\u8def\u7531\u7b56\u7565\u6839\u636e\u5176\u8def\u7531\u76ee\u6807\u76f4\u63a5\u8fd4\u56de\u5355\u6761\u8def\u5f84\u3002<\/p>\n

    \u56fe 8 \u6bd4\u8f83\u4e86\u6240\u6709\u6700\u7ec8\u7528\u6237\u5bf9\u4e0a\u8def\u7531\u7b56\u7565\u5b9e\u73b0\u7684\u805a\u5408\u5e94\u7528\u6548\u7528\u3002Pareto \u8def\u7531\u5b9e\u73b0\u6700\u9ad8\u805a\u5408\u6548\u7528，\u5c55\u793a\u4e86\u66b4\u9732\u591a\u4e2a\u9ad8\u6548\u64cd\u4f5c\u70b9\u7684\u597d\u5904\u3002\u76f8\u6bd4\u4e4b\u4e0b，\u6700\u5927\u4fdd\u771f\u5ea6\u8def\u7531\u727a\u7272 EGR \u4ee5\u6362\u53d6\u9ad8\u4fdd\u771f\u5ea6\u8def\u5f84，\u800c\u57fa\u4e8e\u8ddd\u79bb\u7684\u8def\u7531\u901a\u5e38\u9009\u62e9\u6b21\u4f18\u8def\u7531，\u56e0\u4e3a\u5b83\u4ec5\u4f9d\u8d56\u5730\u7406\u5206\u79bb\u3002\u5728\u57fa\u7ebf\u7b97\u6cd5\u4e2d，FC-MaxEGR \u6027\u80fd\u6700\u63a5\u8fd1 Pareto \u8def\u7531，\u56e0\u4e3a\u5b83\u901a\u8fc7\u6700\u5c0f\u4fdd\u771f\u5ea6\u7ea6\u675f\u8054\u5408\u8003\u8651 EGR \u548c\u4fdd\u771f\u5ea6\u3002\u7136\u800c，\u7531\u4e8e FC-MaxEGR \u627f\u8bfa\u5355\u4e00\u64cd\u4f5c\u70b9，\u5b83\u65e0\u6cd5\u9002\u5e94\u4e0d\u540c\u5e94\u7528\u7684\u591a\u6837\u504f\u597d\u3002\u76f8\u6bd4\u4e4b\u4e0b，Pareto \u8def\u7531\u4f7f\u6bcf\u4e2a\u5e94\u7528\u80fd\u591f\u4ece\u540c\u4e00\u5e15\u7d2f\u6258\u524d\u6cbf\u72ec\u7acb\u9009\u62e9\u6700\u5408\u9002\u7684\u64cd\u4f5c\u70b9，\u800c\u65e0\u9700\u91cd\u65b0\u8ba1\u7b97\u8def\u7531\u3002<\/p>\n\n\n

    \u7b97\u6cd5\u200b<\/p>\n

    \u4e2d\u8ddd\u79bb\u200b<\/p>\n

    \u957f\u8ddd\u79bb<\/p>\n<\/tr>\n

    \n\n\n\n\n
    \n

    Max-Fidelity<\/p>\n<\/td>\n

    		\n

    838<\/p>\n<\/td>\n

    		\n

    2172<\/p>\n<\/td>\n<\/tr>\n

    \n

    FC-MaxEGR<\/p>\n<\/td>\n

    		\n

    6357<\/p>\n<\/td>\n

    		\n

    1228<\/p>\n<\/td>\n<\/tr>\n

    \n

    Pareto<\/p>\n<\/td>\n

    		\n

    3805<\/p>\n<\/td>\n

    		\n

    1228<\/p>\n<\/td>\n<\/tr>\n

    \n

    Distance-Based<\/p>\n<\/td>\n

    		\n

    0<\/p>\n<\/td>\n

    		\n

    1507<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    \n\u8868 I：\u4e2d\u8ddd\u79bb（1132.63 km）\u548c\u957f\u8ddd\u79bb（3178.55 km）\u5bf9\u7684\u8def\u7531\u53d8\u5316\u6b21\u6570\u3002<\/p>\n

    <\/p>\n

    \u56fe 8：\u5728\u7531\u79d8\u5bc6\u5bc6\u94a5\u7387（SKR）\u3001\u8d1f\u5ea6（NEG）\u548c\u53ef\u84b8\u998f\u7ea0\u7f20（DE）\u6548\u7528\u7ec4\u6210\u7684\u6df7\u5408\u5e94\u7528\u5de5\u4f5c\u8d1f\u8f7d\u4e0b，\u4e0d\u540c\u8def\u7531\u7b56\u7565\u5b9e\u73b0\u7684\u805a\u5408\u5e94\u7528\u6548\u7528\u3002<\/p>\n

    V-E \u5e15\u7d2f\u6258\u524d\u6cbf\u8868\u5f81<\/p>\n

    <\/p>\n

    \u56fe 9：\u4e2d\u8ddd\u79bb\u548c\u957f\u8ddd\u79bb\u6700\u7ec8\u7528\u6237\u5bf9\u968f\u65f6\u95f4\u53d8\u5316\u7684\u5e15\u7d2f\u6258\u6700\u4f18\u8def\u5f84\u6570\u91cf\u5206\u5e03\u3002<\/p>\n

    \u6211\u4eec\u63a5\u4e0b\u6765\u68c0\u67e5\u6df7\u5408\u7f51\u7edc\u5982\u4f55\u6539\u53d8\u5e15\u7d2f\u6258\u6700\u4f18\u8def\u7531\u9009\u62e9\u7684\u6570\u91cf\u3002\u56fe 9 \u663e\u793a\u4e86\u4ee3\u8868\u6027\u4e2d\u8ddd\u79bb\u548c\u957f\u8ddd\u79bb\u6700\u7ec8\u7528\u6237\u5bf9\u5728 24 \u5c0f\u65f6\u5185\u5e15\u7d2f\u6258\u6700\u4f18\u8def\u5f84\u6570\u91cf\u7684\u5206\u5e03\u3002<\/p>\n

    \u5bf9\u4e8e\u4e2d\u8ddd\u79bb\u5bf9，\u7eaf\u5730\u9762\u7f51\u7edc\u5728\u5927\u591a\u6570\u65f6\u9699\u4e2d\u5177\u6709\u5355\u6761\u5e15\u7d2f\u6258\u6700\u4f18\u8def\u5f84\u3002\u5728\u6df7\u5408\u7f51\u7edc\u4e2d，\u5e15\u7d2f\u6258\u6700\u4f18\u8def\u5f84\u6570\u91cf\u968f\u65f6\u95f4\u53d8\u5316，\u901a\u5e38\u8d85\u8fc7\u5341\u6761\u3002\u989d\u5916\u8def\u5f84\u6765\u81ea\u63d0\u4f9b\u4e0d\u540c EGR\u2013\u4fdd\u771f\u5ea6\u6743\u8861\u7684\u536b\u661f\u8f85\u52a9\u865a\u62df\u94fe\u8def\u3002<\/p>\n

    \u5bf9\u4e8e\u957f\u8ddd\u79bb\u5bf9，\u5e15\u7d2f\u6258\u6700\u4f18\u8def\u5f84\u6570\u91cf\u8f83\u5c11，\u5927\u591a\u6570\u65f6\u9699\u4e2d\u6709\u4e00\u5230\u4e24\u6761\u8def\u5f84\u53ef\u7528\u3002\u8fd9\u662f\u56e0\u4e3a\u5728\u8be5\u8ddd\u79bb\u4e0b，\u8f83\u5c11\u4e0d\u540c\u7684\u7aef\u5230\u7aef\u8def\u7531\u4fdd\u6301\u5e15\u7d2f\u6258\u6700\u4f18\u3002<\/p>\n

    \u8fd9\u4e9b\u7ed3\u679c\u8868\u660e，\u536b\u661f\u8f85\u52a9\u94fe\u8def\u53ef\u4ee5\u589e\u52a0\u9ad8\u6548\u8def\u7531\u9009\u62e9\u7684\u6570\u91cf，\u7279\u522b\u662f\u5bf9\u4e8e\u4e2d\u8ddd\u79bb\u6700\u7ec8\u7528\u6237\u5bf9\u3002\u6240\u5f97\u5e15\u7d2f\u6258\u524d\u6cbf\u63d0\u4f9b\u591a\u6761\u8def\u5f84，\u63a7\u5236\u5668\u53ef\u4ee5\u6839\u636e\u5e94\u7528\u7684 EGR \u548c\u4fdd\u771f\u5ea6\u9700\u6c42\u4ece\u4e2d\u9009\u62e9\u3002<\/p>\n

    V-F \u8def\u7531\u7a33\u5b9a\u6027
    \n\u536b\u661f\u79fb\u52a8\u53ef\u80fd\u5bfc\u81f4\u8def\u7531\u968f\u65f6\u95f4\u53d8\u5316，\u589e\u52a0\u63a7\u5236\u5e73\u9762\u5f00\u9500\u3002\u8868 I \u62a5\u544a\u4e86\u4ee3\u8868\u6027\u4e2d\u8ddd\u79bb\u548c\u957f\u8ddd\u79bb\u5bf9\u5728 24 \u5c0f\u65f6\u5185\u7684\u8def\u7531\u53d8\u5316\u6b21\u6570\u3002\u5bf9\u4e8e\u4e2d\u8ddd\u79bb\u5bf9，FC-MaxEGR \u8def\u7531\u53d8\u5316\u6700\u9891\u7e41，\u800c Pareto \u8def\u7531\u9700\u8981\u8f83\u5c11\u8def\u7531\u53d8\u5316\u3002Distance-Based \u5bf9\u8be5\u5bf9\u4e0d\u6539\u53d8\u8def\u7531\u3002\u5bf9\u4e8e\u957f\u8ddd\u79bb\u5bf9，Pareto \u8def\u7531\u548c FC-MaxEGR \u8def\u7531\u53d8\u5316\u6700\u5c11，\u5176\u6b21\u662f Distance-Based \u548c Max-Fidelity\u3002\u8fd9\u4e9b\u7ed3\u679c\u8868\u660e，\u8003\u8651\u591a\u4e2a\u8def\u7531\u76ee\u6807\u4e0d\u4e00\u5b9a\u5bfc\u81f4\u66f4\u9891\u7e41\u7684\u8def\u7531\u53d8\u5316\u3002<\/p>\n

    VI \u7ed3\u8bba
    \n\u6211\u4eec\u63d0\u51fa\u4e86\u4e00\u79cd\u7528\u4e8e\u6df7\u5408\u5730\u9762\u2013\u536b\u661f\u91cf\u5b50\u7f51\u7edc\u7684\u7cbe\u786e\u53cc\u76ee\u6807\u8def\u7531\u7b97\u6cd5，\u8054\u5408\u4f18\u5316\u7ea0\u7f20\u751f\u6210\u901f\u7387（EGR）\u548c\u4fdd\u771f\u5ea6\u3002\u901a\u8fc7\u5229\u7528\u8def\u5f84 EGR \u7684\u74f6\u9888\u7ed3\u6784\u5e76\u5c06\u4e58\u6cd5\u4fdd\u771f\u5ea6\u6307\u6807\u8f6c\u5316\u4e3a\u52a0\u6cd5\u6210\u672c，\u6211\u4eec\u5c06\u8def\u7531\u8868\u8ff0\u4e3a MAXMIN\u2013MINSUM \u53cc\u51c6\u5219\u8def\u5f84\u95ee\u9898\u3002\u8fd9\u79cd\u7ed3\u6784\u4f7f\u5f97\u80fd\u591f\u5728\u591a\u9879\u5f0f\u65f6\u95f4\u5185\u8ba1\u7b97\u6700\u5c0f\u5b8c\u5907\u5e15\u7d2f\u6258\u96c6，\u4e3a\u7f51\u7edc\u63a7\u5236\u5668\u63d0\u4f9b\u591a\u4e2a\u9ad8\u6548\u8def\u7531\u9009\u62e9，\u800c\u4e0d\u662f\u627f\u8bfa\u5355\u4e00\u901f\u7387\u6216\u4fdd\u771f\u5ea6\u6700\u4f18\u8def\u5f84\u3002\u6211\u4eec\u8fdb\u4e00\u6b65\u5c55\u793a\u4e86\u5e94\u7528\u7279\u5b9a\u6548\u7528\u51fd\u6570\u4ee5\u53ca\u5f53\u6b64\u7c7b\u6548\u7528\u4e0d\u53ef\u7528\u65f6\u7684\u52a0\u6743\u4e4c\u6258\u90a6\u70b9\u51c6\u5219，\u5982\u4f55\u7528\u4e8e\u4ece\u540c\u4e00\u5e15\u7d2f\u6258\u524d\u6cbf\u9009\u62e9\u8def\u5f84\u800c\u65e0\u9700\u91cd\u65b0\u8ba1\u7b97\u8def\u7531\u3002<\/p>\n

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