解释结构模型快速排序层级分析
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第一步:生成自乘矩阵
系统的邻接矩阵的表示
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第二步:对系统进行环路分析,并获得一个获得一个新序
0=>⒂
1=>⒆
2=>⑶
3=>⑵
4=>⑽
5=>⑷
6=>⒅
7=>⒃
8=>⑹
9=>⑻+⑾+⒄
10=>⑸
11=>⒀
12=>⑿
13=>⒇
14=>⒁
15=>⑴+⑺
16=>⑼
第三步:根据环路与新序,进行矩阵缩减
分析的矩阵为:
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⒂ | ⒆ | ⑶ | ⑵ | ⑽ | ⑷ | ⒅ | ⒃ | ⑹ | ⑻+⑾+⒄ | ⑸ | ⒀ | ⑿ | ⒇ | ⒁ | ⑴+⑺ | ⑼ |
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⑶、⑷、 |
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⑹、⑻+⑾+⒄、 |
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⑻+⑾+⒄、 |
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⑻+⑾+⒄、⒀、 |
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⑸、⒇、 |
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⒂、⑸、⑿、⒁、⑴+⑺、 |
第四步:对无环矩阵进行缩边,也就是去掉所有的向前边!
可达矩阵:
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⒂ | ⒆ | ⑶ | ⑵ | ⑽ | ⑷ | ⒅ | ⒃ | ⑹ | ⑻+⑾+⒄ | ⑸ | ⒀ | ⑿ | ⒇ | ⒁ | ⑴+⑺ | ⑼ |
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骨架矩阵
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⒂ | ⒆ | ⑶ | ⑵ | ⑽ | ⑷ | ⒅ | ⒃ | ⑹ | ⑻+⑾+⒄ | ⑸ | ⒀ | ⑿ | ⒇ | ⒁ | ⑴+⑺ | ⑼ |
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| ⒆ |
⒂、 |
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| ⒅ |
⑶、⑷、 |
| ⒃ |
⒅、 |
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| ⑻+⑾+⒄ |
⑹、 |
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⑻+⑾+⒄、 |
| ⑿ |
⑻+⑾+⒄、⒀、 |
| ⒁ |
⑸、⒇、 |
| ⑴+⑺ |
⑿、⒁、 |
第五步:对一般性骨架矩阵进行层级分解,可以是原因优先,可以是结果优先
原因优先层级划分最终图形
结果优先层级划分最终图形
弹性势能最大,两端发散的的层级结果
弹性势能最小,中间靠拢的结果
第六步:对一般性骨架矩阵的中的活动要素进行分析
| 层级的序号 | 原因优先的方法-得到的各层级的要素 | 结果优先的方法-得到的各层级要素 | 共同有的要素 | 活动的要素 |
| 1 | ⒂,⑵ | ⒂,⑵,⒀,⒇,⑼ | ⒂,⑵ | ⒀,⒇,⑼ |
| 2 | ⒆,⑽ | ⒆,⑽ | ⒆,⑽ | |
| 3 | ⑶,⑷ | ⑶,⑷ | ⑶,⑷ | |
| 4 | ⒅ | ⒅ | ⒅ | |
| 5 | ⒃ | ⒃ | ⒃ | |
| 6 | ⑹ | ⑹ | ⑹ | |
| 7 | ⑻+⑾+⒄ | ⑻+⑾+⒄ | ⑻+⑾+⒄ | |
| 8 | ⑸,⒀,⒇ | ⑸,⑿ | ⑸ | ⒀,⒇,⑿ |
| 9 | ⑿,⒁ | ⒁ | ⒁ | ⑿ |
| 10 | ⑴+⑺,⑼ | ⑴+⑺ | ⑴+⑺ | ⑼ |
由上表计算得出活动的要素以及它们活动的层级:
| 要素的序号 | 要素的名称 | 要素的标题 | 开始层级 | 终止层级 |
| 11 | ⒀ | ⒀ | 1 | 8 |
| 13 | ⒇ | ⒇ | 1 | 8 |
| 16 | ⑼ | ⑼ | 1 | 10 |
| 12 | ⑿ | ⑿ | 8 | 9 |
找到活动要素,并在层级中移动这些活动要素找出最好的结果。活动的要素要注意本身有因果关系的
A、分层的结果一定要符合箭头一定向上
B、不能增加层级的数目
这个方法很土鳖的,赶紧输入原始矩阵,赶紧看,3秒钟后跳转到更好的方法的页面!
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解释结构模型
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