{"id":58700,"date":"2024-06-16T23:20:58","date_gmt":"2024-06-16T15:20:58","guid":{"rendered":"http:\/\/www.biocloudservice.com\/wordpress\/?p=58700"},"modified":"2024-06-16T23:20:58","modified_gmt":"2024-06-16T15:20:58","slug":"r%e8%af%ad%e8%a8%80%e4%b9%9f%e8%83%bd%e6%8e%a5%e5%85%a5lingo%ef%bc%9f%e7%ba%bf%e6%80%a7%e8%a7%84%e5%88%92%e5%8c%85%e4%b9%8blpsolve","status":"publish","type":"post","link":"http:\/\/www.biocloudservice.com\/wordpress\/?p=58700","title":{"rendered":"R\u8bed\u8a00\u4e5f\u80fd\u63a5\u5165lingo\uff1f\u7ebf\u6027\u89c4\u5212\u5305\u4e4blpSolve"},"content":{"rendered":"<p><html><br \/>\n<head><br \/>\n<title><\/title><br \/>\n<meta charset=\"utf-8\"><br \/>\n<meta name=\"viewport\" content=\"width=device-width,initial-scale=1.0,maximum-scale=1.0,user-scalable=0,viewport-fit=cover\"><\/p>\n<style>\n*{margin:0;padding:0}html{-ms-text-size-adjust:100%;-webkit-text-size-adjust:100%;line-height:1.6}img{z-index:999;position:relative;max-width:100%;margin:10px 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wrap;\"><em>\u7ebf\u6027\u89c4\u5212\u7684\u4e00\u822c\u5f62\u5f0f\u5982\u4e0b\uff1a\u6700\u5927\u5316\uff1a\u4e3a\u7ea6\u675f\u6761\u4ef6\uff1a\u53d8\u91cf\u9650\u5236\uff1a<\/em><\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><em><br  \/><\/em><\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u5176\u4e2d\uff0c \u662f\u4e00\u4e2a\u5305\u542b\u76ee\u6807\u51fd\u6570\u7cfb\u6570\u7684\u5411\u91cf\uff0c \u662f\u6211\u4eec\u8981\u4f18\u5316\u7684\u51b3\u7b56\u53d8\u91cf\u5411\u91cf\uff0c \u662f\u5305\u542b\u7ea6\u675f\u6761\u4ef6\u7cfb\u6570\u7684\u77e9\u9635\uff0c \u662f\u7ea6\u675f\u6761\u4ef6\u7684\u53f3\u4fa7\u5411\u91cf\u3002\u7ebf\u6027\u89c4\u5212\u7684\u76ee\u6807\u662f\u627e\u5230\u53d8\u91cf\u5411\u91cf &nbsp;\u7684\u503c\uff0c\u4f7f\u5f97\u76ee\u6807\u51fd\u6570 &nbsp;\u6700\u5927\u5316\uff0c\u540c\u65f6\u6ee1\u8db3\u7ea6\u675f\u6761\u4ef6\u3002<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u7ebf\u6027\u89c4\u5212\u53ef\u4ee5\u4f7f\u7528\u4e0d\u540c\u7684\u6570\u5b66\u5de5\u5177\u548c\u7b97\u6cd5\u6765\u6c42\u89e3\uff0c\u5982\u5355\u7eaf\u5f62\u6cd5\u3001\u5185\u70b9\u6cd5\u7b49\u3002\u800c\u5728\u8ba1\u7b97\u673a\u8f6f\u4ef6\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7R\u8bed\u8a00\u8fdb\u884c\u7f16\u5199\u7a0b\u5e8f\u6c42\u89e3\u3002\u5c0f\u5e08\u59b9\u5c06\u5206\u522b\u5e26\u5927\u5bb6\u4f7f\u7528R\u4e2d\u7684lpSolve\u5305\u548clpSolveAPI\u5305\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5728lpSolve::lp\u51fd\u6570\u4e2d\u8bbe\u7f6e\u53c2\u6570\u201call.int=TRUE\u201d\u6765\u8bbe\u7f6e\u6240\u6709\u53d8\u91cf\u90fd\u5e94\u8be5\u662f\u6574\u6570\u3002\u5f53\u7136\uff0clpSolve\u53ef\u4ee5\u5904\u7406\u6574\u6570\u548c\u5b9e\u6570\u3002\u5927\u5bb6\u4e00\u5b9a\u8981\u8ba4\u771f\u9605\u8bfb\u548c\u5b66\u4e60\u54e6\uff01<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"1\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/2_XFvj2Ts7vqo0VLAy8L9d91ibAue8jQ.png?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEXSFpY4lTk4oByrmMUynS9BzZHiaa98YIG2nd89EYqdnIbZJUXFvj2Ts7vqo0VLAy8L9d91ibAue8jQ\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"244\" style=\"vertical-align: middle;width: 100%;\"  data-recalc-dims=\"1\" \/><\/section>\n<\/section>\n<p powered-by=\"xiumi.us\"><br  \/><\/p>\n<section style=\"text-align: left;justify-content: flex-start;display: flex;flex-flow: row;margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;vertical-align: top;width: auto;align-self: flex-start;flex: 0 0 auto;min-width: 5%;height: auto;\">\n<section style=\"justify-content: flex-start;display: flex;flex-flow: row;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;width: auto;vertical-align: top;align-self: flex-start;flex: 0 0 auto;background-color: rgb(189, 216, 245);min-width: 5%;height: auto;padding: 6px 15px;\">\n<section style=\"color: rgb(255, 255, 255);text-align: justify;\" powered-by=\"xiumi.us\">\n<p><br  \/><\/p>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin-bottom: -6px;transform: scale(0.66);transform-origin: left top;\" powered-by=\"xiumi.us\">\n<section style=\"line-height: 1;transform: translate3d(12px, 0px, 0px);\">\n<section style=\"width: 0px;display: inline-block;border-top: 0.6em solid rgb(247, 221, 223);border-left: 0.6em solid rgb(247, 221, 223);border-bottom: 0.6em solid transparent !important;border-right: 0.6em solid transparent !important;\"><svg viewbox=\"0 0 1 1\" style=\"float:left;line-height:0;width:0;vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: top;width: auto;flex: 100 100 0%;height: auto;align-self: flex-start;background-color: rgb(255, 229, 231);padding: 6px 6px 6px 14px;\">\n<section style=\"text-align: justify;\" powered-by=\"xiumi.us\">\n<p><strong>\u5b9a\u4e49\u95ee\u9898\u3001\u7f16\u5199\u51fd\u6570<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.5079365079365079\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/3_5fqqeezWQGbgth1ZVfgh2ztj7w7FbA.png?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEXSFpY4lTk4oByrmMUynS9BJp94mgMh8ZDn6HvePf64Muks5fqqeezWQGbgth1ZVfgh2ztj7w7FbA\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"315\" style=\"vertical-align: middle;width: 100%;\"  data-recalc-dims=\"1\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u9996\u5148\uff0c\u6211\u4eec\u9700\u8981\u7528\u6570\u5b66\u7684\u65b9\u5f0f\u6765\u89e3\u91ca\u8fd9\u4e2a\u95ee\u9898\u3002\u8ba9\u6211\u4eec\u5b9a\u4e49\u4ee5\u4e0b\u53d8\u91cf<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<\/section>\n<ul style=\"list-style-type: \uf0a7;padding-left: 40px;list-style-position: outside;\" class=\"list-paddingleft-1\" powered-by=\"xiumi.us\">\n<li>\n<p>\u662f\u8981\u751f\u4ea7\u7684 4P \u6905\u5b50\u7684\u6570\u91cf\u3002<\/p>\n<\/li>\n<li>\n<p>\u662f\u8981\u751f\u4ea7\u7684 3P \u6905\u5b50\u7684\u6570\u91cf\u3002<\/p>\n<\/li>\n<li>\n<p>\u662f\u8981\u8d2d\u4e70\u7684\u6728\u5757\u6570\u91cf\u3002<\/p>\n<p><br  \/><\/p>\n<\/li>\n<\/ul>\n<section powered-by=\"xiumi.us\">\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u73b0\u5728\u6211\u4eec\u53ef\u4ee5\u5b9a\u4e49 &nbsp;\u4f5c\u4e3a\u51b3\u7b56\u53d8\u91cf\u5411\u91cf\u3002\u6ce8\u610f\uff0c\u5b83\u5fc5\u987b\u662f\u3002<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u6211\u4eec\u5e0c\u671b\u6700\u5c0f\u5316\u603b\u6210\u672c\uff0c\u56e0\u6b64\u6211\u4eec\u5fc5\u987b\u5c06\u76ee\u6807\u51fd\u6570\u8bbe\u7f6e\u5982\u4e0b<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u6210\u672c &nbsp;(\u6210\u672c)<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u8fd9\u610f\u5473\u7740 \u3002<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u65b9\u5f0f\u8bbe\u7f6e\u7ea6\u675f<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<\/section>\n<ol style=\"padding-left: 40px;list-style-position: outside;\" powered-by=\"xiumi.us\" class=\"list-paddingleft-1\">\n<li>\n<p>\u5ea7\u4f4d<\/p>\n<\/li>\n<li>\n<p>\u5bf9\u4e8e\u817f<\/p>\n<\/li>\n<li>\n<p>\u5bf9\u4e8e\u80cc\u9762<\/p>\n<\/li>\n<li>\n<p>\u751f\u4ea7\u7684\u6905\u5b50\u7684\u6700\u4f4e\u6570\u91cf<\/p>\n<p><br  \/><\/p>\n<\/li>\n<\/ol>\n<p style=\"text-indent: 2em;text-wrap: wrap;\" powered-by=\"xiumi.us\">\u6211\u4eec\u73b0\u5728\u53ef\u4ee5\u5b9a\u4e49\u7cfb\u6570\u77e9\u9635<\/p>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.4131534569983137\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/4_ZxdsAgia4nib0qtPliahKB7cGyvibw.png?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEXSFpY4lTk4oByrmMUynS9BcqF74icRMBgwV6SuKarjXaf7dVSjWZxdsAgia4nib0qtPliahKB7cGyvibw\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"593\" style=\"vertical-align: middle;width: 100%;\"  data-recalc-dims=\"1\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u6211\u4eec\u9700\u8981\u6700\u5c0f\u5316\u76ee\u6807\u51fd\u6570\uff08\u7531C\u8868\u793a\uff09\uff0c\u540c\u65f6\u6ee1\u8db3\u7ea6\u675f\u6761\u4ef6\uff08\u7531A\u3001B\u548cconstranints_direction\u8868\u793a\uff09\u3002<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u73b0\u5728\uff0c\u6211\u4eec\u5f00\u59cb\u7f16\u5199\u7a0b\u5e8f\uff0c\u6211\u4eec\u7684\u76ee\u6807\u662f\u627e\u5230\u4e00\u7ec4\u51b3\u7b56\u53d8\u91cf\uff0c\u4ee5\u6700\u5c0f\u5316\u4e00\u4e2a\u7ebf\u6027\u76ee\u6807\u51fd\u6570\uff0c\u540c\u65f6\u6ee1\u8db3\u4e00\u7ec4\u7ebf\u6027\u7ea6\u675f\u6761\u4ef6\u3002\u5177\u4f53\u6765\u8bf4\uff1a<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<\/section>\n<ol style=\"padding-left: 40px;list-style-position: outside;\" powered-by=\"xiumi.us\" class=\"list-paddingleft-1\">\n<li>\n<p>\u5b9a\u4e49\u51b3\u7b56\u53d8\u91cf\u7684\u7cfb\u6570\u5411\u91cf C\uff0c\u8be5\u5411\u91cf\u8868\u793a\u76ee\u6807\u51fd\u6570\u4e2d\u6bcf\u4e2a\u51b3\u7b56\u53d8\u91cf\u7684\u7cfb\u6570\u3002<\/p>\n<\/li>\n<li>\n<p>\u521b\u5efa\u4e00\u4e2a\u7ea6\u675f\u77e9\u9635 A\uff0c\u8be5\u77e9\u9635\u5305\u542b\u4e86\u7ebf\u6027\u7ea6\u675f\u6761\u4ef6\u7684\u7cfb\u6570\u3002\u6bcf\u884c\u4ee3\u8868\u4e00\u4e2a\u7ea6\u675f\u6761\u4ef6\uff0c\u6bcf\u5217\u4ee3\u8868\u4e00\u4e2a\u51b3\u7b56\u53d8\u91cf\u3002<\/p>\n<\/li>\n<li>\n<p>\u5b9a\u4e49\u7ea6\u675f\u6761\u4ef6\u7684\u53f3\u4fa7\u5411\u91cf B\uff0c\u8868\u793a\u6bcf\u4e2a\u7ea6\u675f\u6761\u4ef6\u7684\u9650\u5236\u503c\u3002<\/p>\n<\/li>\n<li>\n<p>\u5b9a\u4e49\u7ea6\u675f\u65b9\u5411\u5411\u91cf constranints_direction\uff0c\u6307\u793a\u6bcf\u4e2a\u7ea6\u675f\u662f\u5c0f\u4e8e\u7b49\u4e8e\uff08&#8221;&lt;=&#8221;\uff09\u8fd8\u662f\u5927\u4e8e\u7b49\u4e8e\uff08&#8221;&gt;=&#8221;\uff09\u3002<\/p>\n<\/li>\n<\/ol>\n<p powered-by=\"xiumi.us\"><br  \/><\/p>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"c\"><code><span class=\"code-snippet_outer\">#\u5bfc\u5165R\u5305\u5e76\u5b9a\u4e49\u51fd\u6570 &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">install.packages(<span class=\"code-snippet__string\">\"lpSolve\"<\/span>) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">library(lpSolve) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">## \u8bbe\u7f6e\u51b3\u7b56\u53d8\u91cf\u7684\u7cfb\u6570 -&gt; C &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">C &lt;- c(<span class=\"code-snippet__number\">30<\/span>, <span class=\"code-snippet__number\">40<\/span>, <span class=\"code-snippet__number\">80<\/span>) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u521b\u5efa\u7ea6\u675f\u77e9\u9635 B &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">A &lt;- matrix(c(<span class=\"code-snippet__number\">1<\/span>, <span class=\"code-snippet__number\">1<\/span>, <span class=\"code-snippet__number\">-10<\/span>, &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<span class=\"code-snippet__number\">4<\/span>, <span class=\"code-snippet__number\">3<\/span>, <span class=\"code-snippet__number\">-20<\/span>, &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<span class=\"code-snippet__number\">1<\/span>, <span class=\"code-snippet__number\">0<\/span>, <span class=\"code-snippet__number\">-2<\/span>, &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<span class=\"code-snippet__number\">1<\/span>, <span class=\"code-snippet__number\">1<\/span>, <span class=\"code-snippet__number\">0<\/span>), nrow=<span class=\"code-snippet__number\">4<\/span>, byrow=TRUE) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u7ea6\u675f\u6761\u4ef6\u7684\u53f3\u4fa7 &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">B &lt;- c(<span class=\"code-snippet__number\">500<\/span>, <span class=\"code-snippet__number\">200<\/span>, <span class=\"code-snippet__number\">100<\/span>, <span class=\"code-snippet__number\">1000<\/span>) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u7ea6\u675f\u65b9\u5411 &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">constranints_direction &nbsp;&lt;- c(<span class=\"code-snippet__string\">\"&lt;=\"<\/span>, <span class=\"code-snippet__string\">\"&lt;=\"<\/span>, <span class=\"code-snippet__string\">\"&lt;=\"<\/span>, <span class=\"code-snippet__string\">\"&gt;=\"<\/span>) &nbsp;<\/span><\/code><\/pre>\n<\/section>\n<p powered-by=\"xiumi.us\"><br  \/><\/p>\n<section style=\"text-align: left;justify-content: flex-start;display: flex;flex-flow: row;margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;vertical-align: top;width: auto;align-self: flex-start;flex: 0 0 auto;min-width: 5%;height: auto;\">\n<section style=\"justify-content: flex-start;display: flex;flex-flow: row;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;width: auto;vertical-align: top;align-self: flex-start;flex: 0 0 auto;background-color: rgb(189, 216, 245);min-width: 5%;height: auto;padding: 6px 15px;\">\n<section style=\"color: rgb(255, 255, 255);text-align: justify;\" powered-by=\"xiumi.us\">\n<p><br  \/><\/p>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin-bottom: -6px;transform: scale(0.66);transform-origin: left top;\" powered-by=\"xiumi.us\">\n<section style=\"line-height: 1;transform: translate3d(12px, 0px, 0px);\">\n<section style=\"width: 0px;display: inline-block;border-top: 0.6em solid rgb(247, 221, 223);border-left: 0.6em solid rgb(247, 221, 223);border-bottom: 0.6em solid transparent !important;border-right: 0.6em solid transparent !important;\"><svg viewbox=\"0 0 1 1\" style=\"float:left;line-height:0;width:0;vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: top;width: auto;flex: 100 100 0%;height: auto;align-self: flex-start;background-color: rgb(255, 229, 231);padding: 6px 6px 6px 14px;\">\n<section style=\"text-align: justify;\" powered-by=\"xiumi.us\">\n<p><strong>\u901a\u8fc7lp\u51fd\u6570\u8fdb\u884c\u6c42\u89e3<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u63a5\u4e0b\u6765\uff0c\u901a\u8fc7lpsolve\u4e2d\u7684lp\u51fd\u6570\u8fdb\u884c\u95ee\u9898\u7684\u6c42\u89e3\uff0c\u4f7f\u7528lp\u51fd\u6570\u8fdb\u884c\u7ebf\u6027\u89c4\u5212\u6c42\u89e3\uff0cdirection=&#8221;min&#8221;\u8868\u793a\u8981\u6700\u5c0f\u5316\u76ee\u6807\u51fd\u6570\u3002objective.in\u5305\u542b\u76ee\u6807\u51fd\u6570\u7684\u7cfb\u6570\uff0cconst.mat\u5305\u542b\u7ea6\u675f\u77e9\u9635\uff0cconst.dir\u5305\u542b\u7ea6\u675f\u65b9\u5411\uff0cconst.rhs\u5305\u542b\u7ea6\u675f\u53f3\u4fa7\u7684\u503c\u3002all.int = T \u8868\u793a\u8981\u6c42\u89e3\u6574\u6570\u7ebf\u6027\u89c4\u5212\u95ee\u9898\u3002<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u6700\u4f18\u89e3\u5c06\u5b58\u50a8\u5728optimum\u53d8\u91cf\u4e2d\uff0c\u53ef\u4ee5\u4ece\u4e2d\u83b7\u53d6\u6700\u5c0f\u5316\u7684\u76ee\u6807\u51fd\u6570\u503c\u4ee5\u53ca\u5bf9\u5e94\u7684\u51b3\u7b56\u53d8\u91cf\u503c\u3002<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"c\"><code><span class=\"code-snippet_outer\"># \u5bfb\u627e\u6700\u4f18\u89e3 &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">optimum &lt;- &nbsp;lp(direction=<span class=\"code-snippet__string\">\"min\"<\/span>, &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; objective.in = C, &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span class=\"code-snippet__keyword\">const<\/span>.mat = A, &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span class=\"code-snippet__keyword\">const<\/span>.dir = constranints_direction, &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; <span class=\"code-snippet__keyword\">const<\/span>.rhs = B, &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; all.<span class=\"code-snippet__keyword\">int<\/span> = T) &nbsp;<\/span><\/code><\/pre>\n<\/section>\n<p powered-by=\"xiumi.us\"><br  \/><\/p>\n<section style=\"text-align: left;justify-content: flex-start;display: flex;flex-flow: row;margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;vertical-align: top;width: auto;align-self: flex-start;flex: 0 0 auto;min-width: 5%;height: auto;\">\n<section style=\"justify-content: flex-start;display: flex;flex-flow: row;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;width: auto;vertical-align: top;align-self: flex-start;flex: 0 0 auto;background-color: rgb(189, 216, 245);min-width: 5%;height: auto;padding: 6px 15px;\">\n<section style=\"color: rgb(255, 255, 255);text-align: justify;\" powered-by=\"xiumi.us\">\n<p><br  \/><\/p>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin-bottom: -6px;transform: scale(0.66);transform-origin: left top;\" powered-by=\"xiumi.us\">\n<section style=\"line-height: 1;transform: translate3d(12px, 0px, 0px);\">\n<section style=\"width: 0px;display: inline-block;border-top: 0.6em solid rgb(247, 221, 223);border-left: 0.6em solid rgb(247, 221, 223);border-bottom: 0.6em solid transparent !important;border-right: 0.6em solid transparent !important;\"><svg viewbox=\"0 0 1 1\" style=\"float:left;line-height:0;width:0;vertical-align:top;\"><\/svg><\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: top;width: auto;flex: 100 100 0%;height: auto;align-self: flex-start;background-color: rgb(255, 229, 231);padding: 6px 6px 6px 14px;\">\n<section style=\"text-align: justify;\" powered-by=\"xiumi.us\">\n<p><strong>\u8f93\u51fa\u95ee\u9898\u7684\u89e3<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.562962962962963\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/5_IsEhOF9Uib9go7Cia97aPKpd1Ajjjg.jpg?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_jpg\/oCSOtP61aEXSFpY4lTk4oByrmMUynS9BuNCXcDC8bia1lfmpUuN6hmuvhOAIsEhOF9Uib9go7Cia97aPKpd1Ajjjg\/640?wx_fmt=jpeg'\" data-type=\"jpeg\" data-w=\"1080\" style=\"vertical-align: middle;width: 100%;\"  data-recalc-dims=\"1\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u65e2\u7136\u6211\u4eec\u5df2\u7ecf\u6c42\u89e3\u51fa\u76ee\u6807\u51fd\u6570\u7684\u6700\u4f18\u89e3\uff0c\u90a3\u4e48\u4e0b\u9762\u7684\u95ee\u9898\u5c31\u662f\u5982\u4f55\u83b7\u5f97\u8fd9\u4e2a\u6700\u4f18\u89e3\uff0c\u8ba9\u5c0f\u5e08\u59b9\u5411\u5927\u5bb6\u6f14\u793a\u4e00\u904d\u3002<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"c\"><code><span class=\"code-snippet_outer\"># \u6253\u5370\u72b6\u6001: <span class=\"code-snippet__number\">0<\/span> = \u6210\u529f, <span class=\"code-snippet__number\">2<\/span> = \u65e0\u53ef\u884c\u89e3 &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">print(optimum$status) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u663e\u793a x_4p\u3001x_3p \u548c x_w \u7684\u6700\u4f18\u503c &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">best_sol &lt;- optimum$solution &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">names(best_sol) &lt;- c(<span class=\"code-snippet__string\">\"x_4p\"<\/span>, <span class=\"code-snippet__string\">\"x_3p\"<\/span>, <span class=\"code-snippet__string\">\"x_w\"<\/span>) &nbsp; <\/span><\/code><code><span class=\"code-snippet_outer\">print(best_sol) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u68c0\u67e5\u6700\u4f18\u70b9\u5904\u76ee\u6807\u51fd\u6570\u7684\u503c &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">print(paste(<span class=\"code-snippet__string\">\"\u603b\u6210\u672c: \"<\/span>, optimum$objval, sep=<span class=\"code-snippet__string\">\"\"<\/span>))<\/span><\/code><\/pre>\n<\/section>\n<p powered-by=\"xiumi.us\"><br  \/><\/p>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.4213917525773196\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/6_2YbAmWBhQhPlIqQTN8sDpaMc2tuLZA.png?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEXSFpY4lTk4oByrmMUynS9BYrVzgDUCqethDTib6lhHF8SPn2YbAmWBhQhPlIqQTN8sDpaMc2tuLZA\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"776\" style=\"vertical-align: middle;width: 100%;\"  data-recalc-dims=\"1\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p><br  \/><\/p>\n<p>\u663e\u7136\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u603b\u6210\u672c\u7684\u6700\u5c0f\u503c\u4e3a48680\uff0c\u6b64\u65f6\u7684<\/p>\n<p>\u4f7f\u7528lpSolveAPI\u5305\u8fdb\u884c\u6c42\u89e3<\/p>\n<p><br  \/><\/p>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u6211\u4eec\u8fd8\u53ef\u4ee5\u901a\u8fc7lpSolveAPI\u5305\u8fdb\u884c\u7ebf\u6027\u89c4\u5212\u95ee\u9898\u7684\u6c42\u89e3\uff0c\u8be5\u5305\u76f8\u5bf9lpSolve\u53ef\u80fd\u7565\u5fae\u590d\u6742\uff0c\u4f46\u5177\u6709\u66f4\u6e05\u695a\u660e\u786e\u7684\u5b9a\u4e49\u3002<\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<\/section>\n<section class=\"code-snippet__fix code-snippet__js\">\n<ul class=\"code-snippet__line-index code-snippet__js\">\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<li><\/li>\n<\/ul>\n<pre class=\"code-snippet__js\" data-lang=\"c\"><code><span class=\"code-snippet_outer\"># \u4f7f\u7528lpSolveAPI\u8fdb\u884c\u95ee\u9898\u6c42\u89e3 &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">install.packages(<span class=\"code-snippet__string\">\"lpSolveAPI\"<\/span>) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">require(lpSolveAPI) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u8bbe\u7f6e<span class=\"code-snippet__number\">4<\/span>\u4e2a\u7ea6\u675f\u548c<span class=\"code-snippet__number\">3<\/span>\u4e2a\u51b3\u7b56\u53d8\u91cf &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">lprec &lt;- make.lp(nrow = <span class=\"code-snippet__number\">4<\/span>, ncol = <span class=\"code-snippet__number\">3<\/span>) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u8bbe\u7f6e\u6211\u4eec\u8981\u89e3\u51b3\u7684\u95ee\u9898\u7c7b\u578b\u4e3a\u6700\u5c0f\u5316 &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">lp.control(lprec, sense=<span class=\"code-snippet__string\">\"min\"<\/span>) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u8bbe\u7f6e\u51b3\u7b56\u53d8\u91cf\u7c7b\u578b\u4e3a\u6574\u6570 &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__built_in\">set<\/span>.type(lprec, <span class=\"code-snippet__number\">1<\/span>:<span class=\"code-snippet__number\">3<\/span>, type=c(<span class=\"code-snippet__string\">\"integer\"<\/span>)) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u8bbe\u7f6e\u76ee\u6807\u51fd\u6570\u7684\u7cfb\u6570\u5411\u91cf C &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"><span class=\"code-snippet__built_in\">set<\/span>.objfn(lprec, C) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u6dfb\u52a0\u7ea6\u675f &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">add.constraint(lprec, A[<span class=\"code-snippet__number\">1<\/span>, ], <span class=\"code-snippet__string\">\"&lt;=\"<\/span>, B[<span class=\"code-snippet__number\">1<\/span>]) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">add.constraint(lprec, A[<span class=\"code-snippet__number\">2<\/span>, ], <span class=\"code-snippet__string\">\"&lt;=\"<\/span>, B[<span class=\"code-snippet__number\">2<\/span>]) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">add.constraint(lprec, A[<span class=\"code-snippet__number\">3<\/span>, ], <span class=\"code-snippet__string\">\"&lt;=\"<\/span>, B[<span class=\"code-snippet__number\">3<\/span>]) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">add.constraint(lprec, A[<span class=\"code-snippet__number\">4<\/span>, ], <span class=\"code-snippet__string\">\"&gt;=\"<\/span>, B[<span class=\"code-snippet__number\">4<\/span>]) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u663e\u793aLPsolve\u77e9\u9635 &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">lprec &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u89e3\u51b3\u95ee\u9898 &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">solve(lprec) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u83b7\u53d6\u51b3\u7b56\u53d8\u91cf\u7684\u503c &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">get.variables(lprec) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u83b7\u53d6\u76ee\u6807\u51fd\u6570\u7684\u503c &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">get.objective(lprec) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u6ce8\u610f\uff1a\u51b3\u7b56\u53d8\u91cf\u7684\u9ed8\u8ba4\u8fb9\u754c\u4e3a c(<span class=\"code-snippet__number\">0<\/span>, <span class=\"code-snippet__number\">0<\/span>, <span class=\"code-snippet__number\">0<\/span>) \u548c c(Inf, Inf, Inf) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\">get.bounds(lprec) &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"> &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># \u8fb9\u754c\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u51fd\u6570\u8bbe\u7f6e &nbsp;<\/span><\/code><code><span class=\"code-snippet_outer\"># lpSolveAPI::<span class=\"code-snippet__built_in\">set<\/span>.bounds() &nbsp;<\/span><\/code><\/pre>\n<\/section>\n<p powered-by=\"xiumi.us\"><br  \/><\/p>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.8684654300168634\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/7_VsdaAib79ib56hHNUOCwrgeKVjyrfw.png?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEXSFpY4lTk4oByrmMUynS9BvKyticUa7EwpPHCptHvrECUicVJ5VsdaAib79ib56hHNUOCwrgeKVjyrfw\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"593\" style=\"vertical-align: middle;width: 100%;\"  data-recalc-dims=\"1\" \/><\/section>\n<\/section>\n<section style=\"text-align: center;margin-top: 10px;margin-bottom: 10px;line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.5445321307779031\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/8_xM1AkicYicRkKyguf9W2TE1ia8LZeQ.png?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEXSFpY4lTk4oByrmMUynS9BdSetev5E2JrrwRcibflJzKLhj6aexM1AkicYicRkKyguf9W2TE1ia8LZeQ\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"887\" style=\"vertical-align: middle;width: 100%;\"  data-recalc-dims=\"1\" \/><\/section>\n<\/section>\n<section powered-by=\"xiumi.us\">\n<p><br  \/><\/p>\n<p style=\"text-indent: 2em;text-wrap: wrap;\">\u90a3\u4e48\u6700\u540e\uff0c\u4f7f\u7528lpSolve\u5305\u548clpSolveAPI\u5305\u8fdb\u884c\u7ebf\u6027\u89c4\u5212\u95ee\u9898\u7684\u5b9a\u4e49\u548c\u6c42\u89e3\u5c0f\u5e08\u59b9\u5c31\u5411\u5927\u5bb6\u6559\u5b66\u5b8c\u6bd5\u5566\uff0c\u662f\u4e0d\u662f\u975e\u5e38easy\u5462\uff0c\u5e0c\u671b\u5c0f\u4f19\u4f34\u4eec\u8bfe\u4e0b\u5bf9\u591a\u5b66\u4e60\u54e6\u3002\u76f8\u4fe1\u5c0f\u4f19\u4f34\u4eec\u5df2\u7ecf\u57fa\u672c\u638c\u63e1\u4e86\u8fd9\u4e24\u79cd\u6c42\u89e3\u7ebf\u6027\u89c4\u5212\u7684R\u5305\uff0c\u4f1a\u901a\u8fc7R\u8bed\u8a00\u7f16\u5199\u76f8\u5e94\u7684\u7a0b\u5e8f\u3002\u5230\u8fd9\u91cc\u7ebf\u6027\u89c4\u5212\u95ee\u9898\u5c31\u57fa\u672c\u5b8c\u7ed3\u5566\u3002\u5c0f\u5e08\u59b9\u8981\u548c\u5927\u5bb6\u8bf4\u518d\u89c1\u54af\uff0c\u4e00\u5b9a\u8981\u81ea\u5df1\u7ec3\u4e60\u4e00\u4e0b\u54e6\uff0c\u540c\u65f6\u5982\u679c\u5927\u5bb6\u60f3\u8981\u7ee7\u7eed\u4e86\u89e3\u66f4\u591a\u6709\u5173R\u8bed\u8a00\u5185\u5bb9\u53ef\u4ee5\u6301\u7eed\u5173\u6ce8\u5c0f\u5e08\u59b9\u54e6\uff5e\uff5e\u6216\u8005\u4e5f\u53ef\u4ee5\u5173\u6ce8\u6211\u4eec\u7684\u5b98\u7f51\u4e5f\u4f1a\u6301\u7eed\u66f4\u65b0\u7684\u54e6\uff5e 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auto;align-self: center;flex: 0 0 auto;border-width: 0px;border-radius: 0px 5px 5px 0px;border-style: none;border-color: rgb(62, 62, 62);overflow: hidden;min-width: 5%;height: auto;padding: 5px 15px 5px 25px;margin-left: -15px;box-shadow: rgb(255, 186, 188) 0px 0px 5px;background-color: rgb(255, 255, 255);\">\n<section style=\"text-align: justify;color: rgb(255, 186, 188);\" powered-by=\"xiumi.us\">\n<p>\u5f80\u671f\u56de\u987e<\/p>\n<\/section>\n<\/section>\n<section style=\"display: inline-block;vertical-align: top;width: auto;min-width: 5%;flex: 0 0 auto;height: auto;\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;transform: translate3d(-5px, 0px, 0px);line-height: 0;\" powered-by=\"xiumi.us\">\n<section style=\"vertical-align: middle;display: inline-block;line-height: 0;width: 60px;height: auto;\"><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.34869240348692404\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/9_jFHGRXPcStc8lKRE3eqyz5js2zWyHQ.png?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEXSFpY4lTk4oByrmMUynS9BxBg7xJaQFFbzdqmGTR1tI3M7jFHGRXPcStc8lKRE3eqyz5js2zWyHQ\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"803\" style=\"vertical-align: middle;width: 100%;\"  data-recalc-dims=\"1\" \/><\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"text-align: center;justify-content: center;display: flex;flex-flow: row;margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;width: 98%;vertical-align: top;align-self: flex-start;flex: 0 0 auto;border-width: 0px;border-radius: 5px;border-style: none;border-color: rgb(62, 62, 62);overflow: hidden;box-shadow: rgb(255, 186, 188) 0px 0px 5px;height: auto;\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"text-align: justify;padding-right: 15px;padding-left: 15px;\">\n<p><span style=\"color: rgb(255, 186, 188);\">\u00b7<\/span> &nbsp;<a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=Mzg5MDk3Mzg4OA==&amp;mid=2247484526&amp;idx=1&amp;sn=10aa45b960871662c159e74d2048a2a2&amp;chksm=cfd53fc1f8a2b6d7baa62fae7a8fe7cadb61175350c0def4f24b984e27ccdd1ba237afb7894e&amp;scene=21#wechat_redirect\" textvalue=\"\u4e00\u5206\u949f\u5e26\u4f60\u4e86\u89e3R\u8bed\u8a00\u5305\u201clmtest\u201d\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener\">\u4e00\u5206\u949f\u5e26\u4f60\u4e86\u89e3R\u8bed\u8a00\u5305\u201clmtest\u201d<\/a><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"text-align: center;justify-content: center;display: flex;flex-flow: row;margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;width: 98%;vertical-align: top;align-self: flex-start;flex: 0 0 auto;border-width: 0px;border-radius: 5px;border-style: none;border-color: rgb(62, 62, 62);overflow: hidden;box-shadow: rgb(255, 186, 188) 0px 0px 5px;height: auto;\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"text-align: justify;padding-right: 15px;padding-left: 15px;\">\n<p><span style=\"color: rgb(255, 186, 188);\">\u00b7<\/span> <a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=Mzg5MDk3Mzg4OA==&amp;mid=2247483982&amp;idx=1&amp;sn=707381cbba2927d9b86f6bb5fc668b62&amp;chksm=cfd539e1f8a2b0f74a2ec2ff606eca599723652e6d65322d10c8ca1f59e6f275f749a4d8b09d&amp;scene=21#wechat_redirect\" textvalue=\"\u5e08\u59b9\u6559\u4f60\u5982\u4f55\u5feb\u901f\u4e0a\u624b\u4f7f\u7528RStudio\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener\">\u5e08\u59b9\u6559\u4f60\u5982\u4f55\u5feb\u901f\u4e0a\u624b\u4f7f\u7528RStudio<\/a><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"text-align: center;justify-content: center;display: flex;flex-flow: row;margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;width: 98%;vertical-align: top;align-self: flex-start;flex: 0 0 auto;border-width: 0px;border-radius: 5px;border-style: none;border-color: rgb(62, 62, 62);overflow: hidden;box-shadow: rgb(255, 186, 188) 0px 0px 5px;height: auto;\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"text-align: justify;padding-right: 15px;padding-left: 15px;\">\n<p><span style=\"color: rgb(255, 186, 188);\">\u00b7<\/span> c<a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=Mzg5MDk3Mzg4OA==&amp;mid=2247483872&amp;idx=1&amp;sn=76442d546fe3f6bf15fae30cb1f29140&amp;chksm=cfd53a4ff8a2b3599e092459d47c85b2962bfa0b7cfe979d4b8b1e54410c075df3978a482de3&amp;scene=21#wechat_redirect\" textvalue=\"R\u5305\u201cgwasrapidd\u201d\uff1aGWAS Catalog\u6570\u636e\u7684\u83b7\u53d6\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener\">R\u5305\u201cgwasrapidd\u201d\uff1aGWAS Catalog\u6570\u636e\u7684\u83b7\u53d6<\/a><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"text-align: center;justify-content: center;display: flex;flex-flow: row;margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"display: inline-block;width: 98%;vertical-align: top;align-self: flex-start;flex: 0 0 auto;border-width: 0px;border-radius: 5px;border-style: none;border-color: rgb(62, 62, 62);overflow: hidden;box-shadow: rgb(255, 186, 188) 0px 0px 5px;height: auto;\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;\" powered-by=\"xiumi.us\">\n<section style=\"text-align: justify;padding-right: 15px;padding-left: 15px;\">\n<p><span style=\"color: rgb(255, 186, 188);\">\u00b7<\/span> <a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=Mzg5MDk3Mzg4OA==&amp;mid=2247484565&amp;idx=1&amp;sn=06bacd697a8411d1e86d519a22fb7af5&amp;chksm=cfd53f3af8a2b62cc2e10595857b39e4f2e975329c55b35756078c833dea875a2bf5a5fa65f1&amp;scene=21#wechat_redirect\" textvalue=\"\u4e00\u6b65\u6b65\u6559\u4f60\u7ed8\u5236GWAS\u5206\u6790\u4e2dPCA\u56fe\uff0c\u66fc\u54c8\u987f\u56fe\uff0cQQ\u56fe\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" tab=\"innerlink\" data-linktype=\"2\" rel=\"noopener\">\u4e00\u6b65\u6b65\u6559\u4f60\u7ed8\u5236GWAS\u5206\u6790\u4e2dPCA\u56fe\uff0c\u66fc\u54c8\u987f\u56fe\uff0cQQ\u56fe<\/a><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p style=\"text-indent: 2em;text-wrap: wrap;\"><br  \/><\/p>\n<\/section>\n<p><img decoding=\"async\" class=\"rich_pages wxw-img\" data-ratio=\"0.5555555555555556\" data-s=\"300,640\" src=\"https:\/\/i0.wp.com\/www.biocloudservice.com\/wordpress\/wp-content\/uploads\/2024\/06\/10_akXKU5NcO1KwuWc1Rk7ZJ56LC2pYrQ-2.png?w=640\" onerror=\"this.src='https:\/\/mmbiz.qpic.cn\/sz_mmbiz_png\/oCSOtP61aEXjjmsEC5aXz0RE4be2ib1fJPnBD8yX0Z6OF2zocd2ngHpLOakXKU5NcO1KwuWc1Rk7ZJ56LC2pYrQ\/640?wx_fmt=png'\" data-type=\"png\" data-w=\"900\" style=\"\"  data-recalc-dims=\"1\" \/><\/p>\n<p><a target=\"_blank\" href=\"http:\/\/mp.weixin.qq.com\/s?__biz=Mzg5MDk3Mzg4OA==&amp;mid=2247486486&amp;idx=2&amp;sn=8d4e00b41bfb54e0b5fa5fc7c092eb76&amp;chksm=cfd537b9f8a2beaf2132bd5528d1f8fe715ba7ffb7a35e205c1762a0db1ff247a43434abf563&amp;scene=21#wechat_redirect\" textvalue=\"\u4f60\u5df2\u9009\u4e2d\u4e86\u6dfb\u52a0\u94fe\u63a5\u7684\u5185\u5bb9\" linktype=\"text\" imgurl=\"\" imgdata=\"null\" data-itemshowtype=\"0\" 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