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用料最省问题!!!!

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发表于 2004-6-10 14:57:16 | 显示全部楼层 |阅读模式
<>某车间接到制作100套钢架的订单,每套钢架要用长为2.9m,2.1m,1.5m的圆钢各一根,已知原料长7.4m。问应如何下料,可使所用原料最省?</P>
发表于 2004-6-11 02:07:30 | 显示全部楼层
<>用规划求解啊!</P><>从根数最少和余料最小两方面考虑!</P>
发表于 2004-6-12 00:19:11 | 显示全部楼层
<>下面给你一片文章参考,自己看吧!</P><>差不多的</P>
发表于 2004-6-12 00:19:25 | 显示全部楼层
< 0cm 0cm 0pt; TEXT-INDENT: 21.75pt">首先,应当确定哪些切割模式是可行的。所谓一个切割模式,是指按客户需要在原料钢管上安排切割的一种组合。例如,我们可以将<FONT face="Times New Roman">10m</FONT>的原料钢管切割为<FONT face="Times New Roman">1</FONT>根<FONT face="Times New Roman">7m</FONT>的钢管,余料为<FONT face="Times New Roman">3m</FONT>,或将<FONT face="Times New Roman">10m</FONT>的原料钢管切割为<FONT face="Times New Roman">3</FONT>根<FONT face="Times New Roman">3m</FONT>的钢管,余料为<FONT face="Times New Roman">1m</FONT>。显然,可行的切割模式很多。<p></p></P>通常假设一个合理的切割模式,其余料应小于客户所需的最小尺寸,在这种合理假设下,10m原料钢管的切割模式有四种,如下表
发表于 2004-6-12 00:19:41 | 显示全部楼层
< 0cm 0cm 0pt; TEXT-INDENT: 14pt; mso-char-indent-count: 1.0; mso-char-indent-size: 14.0pt">表(一)<p></p></P><TABLE medium none; BORDER-TOP: medium none; MARGIN-LEFT: 14.4pt; BORDER-LEFT: medium none; WIDTH: 414pt; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt" cellSpacing=0 cellPadding=0 width=552 border=1><TR 18.85pt"><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 70.8pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 18.85pt; BACKGROUND-COLOR: transparent; mso-diagonal-down: .5pt solid windowtext" vAlign=top width=94>< 0cm 0cm 0pt"><FONT face="Times New Roman"> <p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.2pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 18.85pt; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=114>< 0cm 0cm 0pt"><FONT face="Times New Roman">3m</FONT>钢管的根数<p></p></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.2pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 18.85pt; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt"><FONT face="Times New Roman">4m</FONT>钢管的根数<p></p></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.25pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 18.85pt; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt"><FONT face="Times New Roman">7m</FONT>钢管的根数<p></p></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 87.55pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; HEIGHT: 18.85pt; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=117><P 0cm 0cm 0pt; TEXT-INDENT: 28pt; mso-char-indent-count: 2.0; mso-char-indent-size: 14.0pt">余料(<FONT face="Times New Roman">m</FONT>)<p></p></P></TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 70.8pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=94><P 0cm 0cm 0pt; TEXT-INDENT: 14pt; mso-char-indent-count: 1.0; mso-char-indent-size: 14.0pt">模式一<p></p></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.2pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">3<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.2pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">0<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.25pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">0<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 87.55pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=117><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">1<p></p></FONT></P></TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 70.8pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=94><P 0cm 0cm 0pt; TEXT-INDENT: 14pt; mso-char-indent-count: 1.0; mso-char-indent-size: 14.0pt">模式二<p></p></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.2pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">2<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.2pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">1<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.25pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">0<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 87.55pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=117><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">0<p></p></FONT></P></TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 70.8pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=94><P 0cm 0cm 0pt; TEXT-INDENT: 14pt; mso-char-indent-count: 1.0; mso-char-indent-size: 14.0pt">模式三<p></p></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.2pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">1<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.2pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">0<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.25pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">1<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 87.55pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=117><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">0<p></p></FONT></P></TD></TR><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 70.8pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=94><P 0cm 0cm 0pt; TEXT-INDENT: 14pt; mso-char-indent-count: 1.0; mso-char-indent-size: 14.0pt">模式四<p></p></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.2pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">0<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.2pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">2<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.25pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">0<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: #d4d0c8; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 87.55pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" vAlign=top width=117><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">2<p></p></FONT></P></TD></TR></TABLE>问题化为在满足客户需要的条件下,按哪些合理的切割模式,各模式各切割多少根原料钢管可以达到尽可能少浪费。
发表于 2004-6-12 00:26:58 | 显示全部楼层
<TABLE medium none; BORDER-TOP: medium none; MARGIN-LEFT: 14.4pt; BORDER-LEFT: medium none; WIDTH: 414pt; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt" cellSpacing=0 cellPadding=0 width=552 border=1><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 70.8pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" vAlign=top width=94>< 0cm 0cm 0pt; TEXT-INDENT: 14pt; mso-char-indent-count: 1.0; mso-char-indent-size: 14.0pt">模式四<p></p></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.2pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=114>< 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">0<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.2pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=114>< 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">2<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 85.25pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=114><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">0<p></p></FONT></P></TD><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: #d4d0c8; WIDTH: 87.55pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; mso-border-left-alt: solid windowtext .5pt" vAlign=top width=117><P 0cm 0cm 0pt; TEXT-ALIGN: center" align=center><FONT face="Times New Roman">2<p></p></FONT></P></TD></TR></TABLE><P 0cm 0cm 0pt; TEXT-INDENT: 21.75pt">问题化为在满足客户需要的条件下,按哪些合理的切割模式,各模式各切割多少根原料钢管可以达到尽可能少浪费。<p></p></P><P 0cm 0cm 0pt">问题有两个目标:<p></p></P><P 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; tab-stops: list 21.0pt; mso-list: l4 level1 lfo1">一、         最后剩余的总余料最少。<p></p></P><P 0cm 0cm 0pt 21pt; TEXT-INDENT: -21pt; tab-stops: list 21.0pt; mso-list: l4 level1 lfo1">二、         切割原料钢管的总根数最小。<p></p></P>
发表于 2004-6-12 00:27:36 | 显示全部楼层
< 0cm 0cm 0pt 19.85pt; TEXT-INDENT: -19.85pt; tab-stops: list 19.85pt; mso-list: l4 level2 lfo1">l     <B>模型建立:</B><B><p></p></B></P>< 0cm 0cm 0pt">下面对以上两个目标分别讨论:<B><p></p></B></P>< 0cm 0cm 0pt">决策变量:<v:shapetype><FONT face="Times New Roman"> <v:stroke joinstyle="miter"></v:stroke><v:formulas><v:f eqn="if lineDrawn pixelLineWidth 0"></v:f><v:f eqn="sum @0 1 0"></v:f><v:f eqn="sum 0 0 @1"></v:f><v:f eqn="prod @2 1 2"></v:f><v:f eqn="prod @3 21600 pixelWidth"></v:f><v:f eqn="prod @3 21600 pixelHeight"></v:f><v:f eqn="sum @0 0 1"></v:f><v:f eqn="prod @6 1 2"></v:f><v:f eqn="prod @7 21600 pixelWidth"></v:f><v:f eqn="sum @8 21600 0"></v:f><v:f eqn="prod @7 21600 pixelHeight"></v:f><v:f eqn="sum @10 21600 0"></v:f></v:formulas><v:path connecttype="rect" gradientshapeok="t" extrusionok="f"></v:path><lock aspectratio="t" v:ext="edit"></lock></FONT></v:shapetype><v:shape><v:imagedata></v:imagedata></v:shape>表示按第<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>种模式切割原料钢管的根数,<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape><p></p></P><P 0cm 0cm 0pt">决策目标:<p></p></P><P 0cm 0cm 0pt"><FONT face="Times New Roman">1. </FONT>以切割后剩余总余料最少为目标:<p></p></P><P 0cm 0cm 0pt; tab-stops: 279.0pt"><FONT face="Times New Roman">        </FONT><v:shape><v:imagedata><FONT face="Times New Roman"></FONT></v:imagedata></v:shape><FONT face="Times New Roman">                            </FONT>(<FONT face="Times New Roman">1</FONT>)<p></p></P><P 0cm 0cm 0pt; tab-stops: 18.0pt 27.0pt"><FONT face="Times New Roman">2. </FONT>以总根数最少为目标:<p></p></P><P 0cm 0cm 0pt; tab-stops: 270.0pt 279.0pt"><FONT face="Times New Roman">        </FONT><FONT face="Times New Roman">                        <v:shape><v:imagedata><FONT face="Times New Roman"></FONT></v:imagedata></v:shape>      </FONT>(<FONT face="Times New Roman">2</FONT>)<p></p></P><P 0cm 0cm 0pt; tab-stops: 270.0pt 279.0pt">约束条件:<p></p></P><P 0cm 0cm 0pt; tab-stops: 270.0pt 279.0pt 351.0pt"><FONT face="Times New Roman">        </FONT><v:shape><v:imagedata><FONT face="Times New Roman"></FONT></v:imagedata></v:shape><FONT face="Times New Roman">                          </FONT>(<FONT face="Times New Roman">3</FONT>)<p></p></P><P 0cm 0cm 0pt; tab-stops: 279.0pt"><FONT face="Times New Roman">        </FONT><v:shape><v:imagedata><FONT face="Times New Roman"></FONT></v:imagedata></v:shape><FONT face="Times New Roman">                              </FONT>(<FONT face="Times New Roman">4</FONT>)<p></p></P><P 0cm 0cm 0pt; tab-stops: 279.0pt"><FONT face="Times New Roman">        </FONT><v:shape><v:imagedata><FONT face="Times New Roman"></FONT></v:imagedata></v:shape><FONT face="Times New Roman">                                  </FONT>(<FONT face="Times New Roman">5</FONT>)<p></p></P><P 0cm 0cm 0pt; tab-stops: 279.0pt"><FONT face="Times New Roman">        </FONT><v:shape><v:imagedata><FONT face="Times New Roman"></FONT></v:imagedata></v:shape><FONT face="Times New Roman"> </FONT><v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape><FONT face="Times New Roman"> </FONT><v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>为整数<FONT face="Times New Roman">                 </FONT>(<FONT face="Times New Roman">6</FONT>)<p></p></P>
发表于 2004-6-12 00:28:12 | 显示全部楼层
< 0cm 0cm 0pt 19.85pt; TEXT-INDENT: -19.85pt; tab-stops: list 19.85pt left 279.0pt; mso-list: l8 level1 lfo7">l     <B>模型求解:</B><B><FONT face="Times New Roman"> <p></p></FONT></B></P>< 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; tab-stops: list 18.0pt left 279.0pt; mso-list: l7 level1 lfo3"><FONT face="Times New Roman">1.     </FONT>将(<FONT face="Times New Roman">1</FONT>)、(<FONT face="Times New Roman">3</FONT>)<FONT face="Times New Roman">~</FONT>(<FONT face="Times New Roman">6</FONT>)构成的整数规划输入计算机求解,可得:<v:shapetype><FONT face="Times New Roman"> <v:stroke joinstyle="miter"></v:stroke><v:formulas><v:f eqn="if lineDrawn pixelLineWidth 0"></v:f><v:f eqn="sum @0 1 0"></v:f><v:f eqn="sum 0 0 @1"></v:f><v:f eqn="prod @2 1 2"></v:f><v:f eqn="prod @3 21600 pixelWidth"></v:f><v:f eqn="prod @3 21600 pixelHeight"></v:f><v:f eqn="sum @0 0 1"></v:f><v:f eqn="prod @6 1 2"></v:f><v:f eqn="prod @7 21600 pixelWidth"></v:f><v:f eqn="sum @8 21600 0"></v:f><v:f eqn="prod @7 21600 pixelHeight"></v:f><v:f eqn="sum @10 21600 0"></v:f></v:formulas><v:path connecttype="rect" gradientshapeok="t" extrusionok="f"></v:path><lock aspectratio="t" v:ext="edit"></lock></FONT></v:shapetype><v:shape><v:imagedata></v:imagedata></v:shape>,<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>,<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape>。<p></p></P>< 0cm 0cm 0pt 18pt; tab-stops: 18.0pt 279.0pt">即,按模式二切割<FONT face="Times New Roman">49</FONT>根原料钢管,按模式三切割<FONT face="Times New Roman">12</FONT>根原料钢管,共用<FONT face="Times New Roman">61</FONT>根原料钢管,总余料为<FONT face="Times New Roman">0m</FONT>。<p></p></P><P 0cm 0cm 0pt 18pt; TEXT-INDENT: -18pt; tab-stops: list 18.0pt left 279.0pt; mso-list: l7 level1 lfo3"><FONT face="Times New Roman">2.     </FONT>将(<FONT face="Times New Roman">2</FONT>)<FONT face="Times New Roman">~</FONT>(<FONT face="Times New Roman">6</FONT>)构成的整数规划输入计算机求解,求得:<v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape><FONT face="Times New Roman">,</FONT><v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape><FONT face="Times New Roman">,</FONT><v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape><FONT face="Times New Roman">,</FONT><v:shape><FONT face="Times New Roman"> <v:imagedata></v:imagedata></FONT></v:shape><FONT face="Times New Roman">,<p></p></FONT></P><P 0cm 0cm 0pt; tab-stops: 18.0pt 279.0pt"><FONT face="Times New Roman">   </FONT><v:shape><v:imagedata><FONT face="Times New Roman"></FONT></v:imagedata></v:shape><p></p></P><P 0cm 0cm 0pt 18pt; tab-stops: 18.0pt 279.0pt">即,按模式一切割<FONT face="Times New Roman">1</FONT>根原料钢管,按模式二切割<FONT face="Times New Roman">23</FONT>根原料钢管,按模式三切割<FONT face="Times New Roman">12</FONT>根原料钢管,按模式四切割共用<FONT face="Times New Roman">13</FONT>根原料钢管,总根数为<FONT face="Times New Roman">49</FONT>,总余料为<FONT face="Times New Roman">27m</FONT>。<p></p></P>
发表于 2004-6-12 00:29:16 | 显示全部楼层
不好意思,公式复制不了,只能自己作一下了,应该很容易的,格式就是那样!
 楼主| 发表于 2004-6-24 20:24:00 | 显示全部楼层
<>很谢谢你!</P><>我做出来了!!</P><>我开始用的是C做了一个分法求解再按做一个线性规划问题求解;</P><P>#include &lt;stdio.h&gt;
#include &lt;stdlib.h&gt;
#include&lt;math.h&gt;
float min(float x,float y,float z);
void main()
{
int i,j,k;
float l,l1,l2,l3,l4;
float xx,sum,temp;
printf("请输入原材料的长度: ");
scanf("%f",&amp;l);
printf("\n请输入材料一的长度: ");
scanf("%f",&amp;l1);
printf("\n请输入材料二的长度: ");
scanf("%f",&amp;l2);
printf("\n请输入材料三的长度: ");
scanf("%f",&amp;l3);
l4=min(l1,l2,l3);
printf("各种材料的最佳方案\n");
printf("%f,%f,%f \n",l1,l2,l3);
for(i=0;i&lt;=l/l1;i++)
  for(j=0;j&lt;=l/l2;j++)
  {
   temp=l;
   for(k=0;k&lt;=l/l3;k++)
   {
    sum=l1*i+l2*j+l3*k;
   
    if(sum&lt;=l)
    {
     xx=l-sum;
     if(xx&lt;l4)
      printf("  %d,    %d,      %d\n",i,j,k);
    }
   
   }
  }
}</P><P>float min(float x,float y,float z)
{
float a;
if(x&gt;y)
{
  a=x;x=y;y=a;
}
if(x&gt;z)
{
  a=x;x=z;z=a;
}
if(y&gt;z)
{
  a=y;
  y=z;z=a;}
return x;
}</P>
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