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<b><font face="宋体" size="4" color="#FF0033">例5<font face="Arial, Helvetica, sans-serif">.</font>1</font><font face="宋体" size="4" color="#000000"> 旅行商问题
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<pre><b><font face="宋体" size="4" color="#000000">∞ 20 30 10 11
15 ∞ 16 4 2
3 5 ∞ 2 4
19 6 18 ∞ 3
16 4 7 16 ∞
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<pre align="left"><b><font face="宋体" size="4" color="#000000">
<font color="#FF0033">行（列）归约：</font>
代价矩阵中任一行（列）各元素中，减去这一行（列）中最小元素。</font></b></pre>
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<pre><b><font face="宋体" size="4" color="#000000">∞ 10 20 0 1
13 ∞ 14 2 0
1 3 ∞ 0 2
16 3 15 ∞ 0
12 0 3 12 ∞
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<td width="15%"> <b>--------></b></td>
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<pre><b><font face="宋体" size="4" color="#000000">∞ 10 17 0 1
12 ∞ 11 2 0
0 3 ∞ 0 2
15 3 12 ∞ 0
11 0 0 12 ∞</font>
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<pre><b><font face="宋体" size="4" color="#FF0033">归约矩阵：</font><font face="宋体" size="4" color="#000000">各行各列都是归纳的代价矩阵。
r(i) i行的约数
r'(i) i列的约数
r 矩阵的约数
<i><font face="Arial, Helvetica, sans-serif"> r = ∑r( I ) + ∑r'( j ) (1≤i≤n, 1≤j≤n) <font color="#FF0033">=25</font></font></i></font></b></pre>
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<pre><font color="#FF0033"><b><font face="宋体" size="4">C'</font></b></font></pre>
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<pre><b><font face="宋体" size="4" color="#000000">∞ 10 17 0 1
12 ∞ 11 2 0
0 3 ∞ 0 2
15 3 12 ∞ 0
11 0 0 12 ∞</font>
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<pre><b><font face="宋体" size="4" color="#CC0033">r(1)=10
r(2)=2
r(3)=2
r(4)=3
r(5)=4</font></b></pre>
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<pre><b><font face="宋体" size="4" color="#000000"><font color="#FF0033"> r'(1)= 1 0 3 0 0</font></font></b></pre>
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