fuhuowy 发表于 2007-2-1 20:12

有参加今年MCM/ICM的进来讨论一下

<p>&nbsp;&nbsp;&nbsp; 今年我们是第一次参加这个竞赛,总感觉有些没底 ,还希望广大同盟一起交流一下,特别是参加过这类比赛的师哥师姐们,共同进步&nbsp; </p><p>如外文参考文献的一些相关下载地址?请告知小弟一声&nbsp; </p>

madio 发表于 2007-2-1 22:43

<p>比赛的时候我发了好的文献一定会发上来共享的!</p>

zhutanchao 发表于 2007-4-6 13:06

<p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">在很多工程领域,都有线材切割问题。这一问题可表述为</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">:<p></p></span></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp; </span></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">设能购买到的不同长度的原线材有</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">m</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">种,长度分别为</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">L1,...,Lm</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">,这些原线材只是长度不同,其它都相同。某工程中所要切割出的线材长度分别为</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">li,i=1,2,...,n(</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">这里</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"> li &lt; </span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">所有</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">Li)</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">,对应数量分别为</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">Ni,i=1,2,...,n</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">。</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><p></p></span></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">设计优化计算方案,求出分别需要购买多少根不同长度的原线材</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">,</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">并能给出切割方案及线材利用率。</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><p></p></span></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp; </span></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">现假设某装修工程中需要对铝合金线材进行切割,工程能购买到的同一规格的铝合金线材有二种长度,一种长度是</span><chmetcnv wst="on" tcsc="0" numbertype="1" negative="False" hasspace="False" sourcevalue="8" unitname="米"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">8</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">米</span></chmetcnv><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">,另一种是</span><chmetcnv wst="on" tcsc="0" numbertype="1" negative="False" hasspace="False" sourcevalue="12" unitname="米"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">12</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">米</span></chmetcnv><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">。现在假设要切割长度和数量如下所示的铝合金线材:</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><p></p></span></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">&nbsp;<p></p></span></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">编号</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">长度</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">(</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">单位</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">:</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">米</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">)<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">数量</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">(</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">单位</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">:</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体;">根</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">)<p></p></span></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp; </span>--------------------------------------------------<p></p></span></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>1<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>6.20<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span>90<p></p></span></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>2<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>3.60<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>120<p></p></span></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>3<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>2.80<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>136<p></p></span></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>4<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>1.85<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>310<p></p></span></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>5<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>0.75<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>215<p></p></span></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>6<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>0.55<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>320<p></p></span></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">&nbsp;<p></p></span></p><p><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">应用所设计的计算方案,请问至少需要购买多少根</span><chmetcnv wst="on" tcsc="0" numbertype="1" negative="False" hasspace="False" sourcevalue="8" unitname="米"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">8</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">米</span></chmetcnv><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">和</span><chmetcnv wst="on" tcsc="0" numbertype="1" negative="False" hasspace="False" sourcevalue="12" unitname="米"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">12</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">米</span></chmetcnv><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">的线材,使浪费的线材比较少,并给出切割方案和计算线材利用率。</span></p><p><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">做一下这个题目</span></p>

zhutanchao 发表于 2007-4-6 13:09

<p>我是新手</p><p>大家多交流啊</p>

wgaggassi34 发表于 2007-4-20 10:44

<div class="msgheader">QUOTE:</div><div class="msgborder"><b>以下是引用<i>zhutanchao</i>在2007-4-6 13:06:06的发言:</b><br/><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">在很多工程领域,都有线材切割问题。这一问题可表述为</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">:<p></p></span></p><p></p><p></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp; </span></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">设能购买到的不同长度的原线材有</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">m</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">种,长度分别为</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">L1,...,Lm</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">,这些原线材只是长度不同,其它都相同。某工程中所要切割出的线材长度分别为</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">li,i=1,2,...,n(</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">这里</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"> li &lt; </span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">所有</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">Li)</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">,对应数量分别为</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">Ni,i=1,2,...,n</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">。</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><p></p></span></p><p></p><p></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">设计优化计算方案,求出分别需要购买多少根不同长度的原线材</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">,</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">并能给出切割方案及线材利用率。</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><p></p></span></p><p></p><p></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp; </span></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">现假设某装修工程中需要对铝合金线材进行切割,工程能购买到的同一规格的铝合金线材有二种长度,一种长度是</span><chmetcnv unitname="米" sourcevalue="8" hasspace="False" negative="False" numbertype="1" tcsc="0" wst="on"></chmetcnv><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">8</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">米</span><chmetcnv></chmetcnv><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">,另一种是</span><chmetcnv unitname="米" sourcevalue="12" hasspace="False" negative="False" numbertype="1" tcsc="0" wst="on"></chmetcnv><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">12</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">米</span><chmetcnv></chmetcnv><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">。现在假设要切割长度和数量如下所示的铝合金线材:</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><p></p></span></p><p></p><p></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">&nbsp;<p></p></span></p><p></p><p></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">编号</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">长度</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">(</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">单位</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">:</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">米</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">)<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">数量</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">(</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">单位</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">:</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体; mso-hansi-font-family: &quot;Times New Roman&quot;;">根</span><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">)<p></p></span></p><p></p><p></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp; </span>--------------------------------------------------<p></p></span></p><p></p><p></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>1<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>6.20<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span>90<p></p></span></p><p></p><p></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>2<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>3.60<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>120<p></p></span></p><p></p><p></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>3<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>2.80<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>136<p></p></span></p><p></p><p></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>4<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>1.85<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>310<p></p></span></p><p></p><p></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>5<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>0.75<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>215<p></p></span></p><p></p><p></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;"><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>6<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>0.55<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>320<p></p></span></p><p></p><p></p><p class="MsoNormal" align="left" style="MARGIN: 0cm 0cm 12pt; WORD-BREAK: break-all; TEXT-ALIGN: left; mso-pagination: widow-orphan; mso-margin-top-alt: auto;"><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-font-kerning: 0pt; mso-bidi-font-family: 宋体;">&nbsp;<p></p></span></p><p></p><p></p><p><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-hansi-font-family: &quot;Times New Roman&quot;;">应用所设计的计算方案,请问至少需要购买多少根</span><chmetcnv unitname="米" sourcevalue="8" hasspace="False" negative="False" numbertype="1" tcsc="0" wst="on"></chmetcnv><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">8</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-hansi-font-family: &quot;Times New Roman&quot;;">米</span><chmetcnv></chmetcnv><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-hansi-font-family: &quot;Times New Roman&quot;;">和</span><chmetcnv unitname="米" sourcevalue="12" hasspace="False" negative="False" numbertype="1" tcsc="0" wst="on"></chmetcnv><span lang="EN-US" style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA;">12</span><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-hansi-font-family: &quot;Times New Roman&quot;;">米</span><chmetcnv></chmetcnv><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-hansi-font-family: &quot;Times New Roman&quot;;">的线材,使浪费的线材比较少,并给出切割方案和计算线材利用率。</span></p><p><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-hansi-font-family: &quot;Times New Roman&quot;;">做一下这个题目</span></p><p><span style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-bidi-font-family: 宋体; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-hansi-font-family: &quot;Times New Roman&quot;;">谢谢分享</span></p></div><p></p>
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