合理分配与会成员的数学模型
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><FONT color=#000000><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">An Tostal</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">公司的一次会议的参加者为</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">29</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">位公司董事会成员，其中</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">9</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">位是在职董事</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">(</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">即公司的雇员</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">)</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">。会议要开一天，每个小组上午开</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">3</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">段。下午开</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">4</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">段。每段会议开</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">45</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">分钟，从上午</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">9</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">：</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">00</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">到下午</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">4</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">：</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">00</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">每整点开始开会，中午</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">12</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">：</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">00</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">午餐。上午的每段会议都有</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">6</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">个小组讨论会，每个小组讨论会都由公司的一位资深高级职员来主持讨论，这些资深高级职员都不是董事会的成员。因此，每资深高级职员都要主持</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">3</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">个不同的小组讨论会。这些资深高级职员不参加下午的讨论会，而且下午的每段会议只有</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">4</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">个不同的小组讨论会。</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /><o:p></o:p></SPAN></FONT></P><P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><FONT color=#000000><SPAN lang=EN-US style="FONT-SIZE: 14pt"><SPAN style="mso-spacerun: yes"><FONT face="Times New Roman"> </FONT></SPAN></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">公司董事长要一份公司董事参加</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">7</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">段会议的每个小组讨论会酌分配名单。这份搭配名单要尽可能多地把董事均匀搭配。理想的搭配应是每一位董事和其他每一位董事一起参加小组讨论会的次数相同，与此同时要使不同段的小组中在一起开过会的董事数达到最小。</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><o:p></o:p></SPAN></FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><FONT color=#000000><SPAN lang=EN-US style="FONT-SIZE: 14pt"><SPAN style="mso-spacerun: yes"><FONT face="Times New Roman"> </FONT></SPAN></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">名单中的搭配还应满足下列两个准则：</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><o:p></o:p></SPAN></FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><FONT color=#000000><SPAN lang=EN-US style="FONT-SIZE: 14pt"><SPAN style="mso-spacerun: yes"><FONT face="Times New Roman"> </FONT></SPAN></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">①在上午的讨论会上，不允许一位董事参加由同一位资深高级职员主持的两次会议。</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><o:p></o:p></SPAN></FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"><FONT color=#000000><SPAN lang=EN-US style="FONT-SIZE: 14pt"><SPAN style="mso-spacerun: yes"><FONT face="Times New Roman"> </FONT></SPAN></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">②每个分组讨论会都不应有不成比例的在职董事参加。</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman"> <o:p></o:p></FONT></SPAN></FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 28.5pt"><FONT color=#000000><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">给出一张</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">1-9</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">号在职董事、</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">10</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">一</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">29</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">号董事、</SPAN><SPAN lang=EN-US style="FONT-SIZE: 14pt"><FONT face="Times New Roman">1-6</FONT></SPAN><SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">号公司资深高级职员的搭配名单。说明该名单在多大程度上满足了前面提出的各种要求和准则。因为有的董事可能在最后一刻宣布不参加会议，也可能不在名单上的董事将出席会议，因此一个能使秘书在一小时前得到变更与会与否通知的情况下来调整搭配的算法定会得到赏识。如果算法还能用于涉及不同水平的与会者参加的未来的会议中每类与会者搭配的话，那就更理想了。</SPAN></FONT><SPAN lang=EN-US style="FONT-SIZE: 14pt"><o:p></o:p></SPAN></P> :lol不错 不错 不错 不错
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