解释结构模型快速排序层级分析
此处输入要素的个数:
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⒃ |
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⒆ |
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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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⒅ |
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⒆ |
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⒇ |
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1 |
第二步:对系统进行环路分析,并获得一个获得一个新序
0=>⑴
1=>⑺
2=>⑾
3=>⒁
4=>⒃
5=>⑽
6=>⒅
7=>⑵
8=>⑷
9=>⑶+⒇
10=>⒂
11=>⑸
12=>⑼
13=>⑹
14=>⑻
15=>⑿
16=>⒀
17=>⒄
18=>⒆
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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⑴ | ⑺ | ⑾ | ⒁ | ⒃ | ⑽ | ⒅ | ⑵ | ⑷ | ⑶+⒇ | ⒂ | ⑸ | ⑼ | ⑹ | ⑻ | ⑿ | ⒀ | ⒄ | ⒆ |
⑴ |
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⑺ |
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⒁ |
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⑽ |
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⒅ |
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⑶+⒇ |
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⒆ |
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⒃ |
⒁、 |
⑽ |
⒃、 |
⒅ |
⑴、⑺、⑽、 |
⑵ |
⑺、⑾、⒅、 |
⑷ |
⒅、⑵、 |
⑶+⒇ |
⑾、⑷、⑶+⒇、 |
⒂ |
⑷、 |
⑸ |
⒂、 |
⑹ |
⑼、 |
⑻ |
⑽、 |
⑿ |
⒅、 |
⒀ |
⑻、 |
⒄ |
⑷、 |
⒆ |
⑼、 |
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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⑴ | ⑺ | ⑾ | ⒁ | ⒃ | ⑽ | ⒅ | ⑵ | ⑷ | ⑶+⒇ | ⒂ | ⑸ | ⑼ | ⑹ | ⑻ | ⑿ | ⒀ | ⒄ | ⒆ |
⑴ |
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⒁ |
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⒃ |
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⑽ |
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⒅ |
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⑶+⒇ |
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⒂ |
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⑸ |
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⑼ |
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⑻ |
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⑿ |
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⒀ |
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⒄ |
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⒆ |
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骨架矩阵
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⑴ | ⑺ | ⑾ | ⒁ | ⒃ | ⑽ | ⒅ | ⑵ | ⑷ | ⑶+⒇ | ⒂ | ⑸ | ⑼ | ⑹ | ⑻ | ⑿ | ⒀ | ⒄ | ⒆ |
⑴ |
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⒁ |
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⒃ |
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⑽ |
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⒅ |
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⑵ |
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⑷ |
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⑶ ⒇ |
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⒂ |
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⒆ |
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⒃ |
⒁、 |
⑽ |
⒃、 |
⒅ |
⑴、⑺、⑽、 |
⑵ |
⑾、⒅、 |
⑷ |
⑵、 |
⑶+⒇ |
⑷、 |
⒂ |
⑷、 |
⑸ |
⒂、 |
⑹ |
⑼、 |
⑻ |
⑽、 |
⑿ |
⒅、 |
⒀ |
⑻、 |
⒄ |
⑷、 |
⒆ |
⑼、 |
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 | ⒁ | ⑴,⑺,⑾,⒁,⑼ | ⒁ | ⑴,⑺,⑾,⑼ |
2 | ⒃ | ⒃,⑹,⒆ | ⒃ | ⑹,⒆ |
3 | ⑴,⑺,⑽ | ⑽ | ⑽ | ⑴,⑺ |
4 | ⑾,⒅ | ⒅,⑻ | ⒅ | ⑾,⑻ |
5 | ⑵ | ⑵,⑿,⒀ | ⑵ | ⑿,⒀ |
6 | ⑷ | ⑷ | ⑷ | |
7 | ⒂,⑼,⑻ | ⑶+⒇,⒂,⒄ | ⒂ | ⑼,⑻,⑶+⒇,⒄ |
8 | ⑶+⒇,⑸,⑹,⑿,⒀,⒄,⒆ | ⑸ | ⑸ | ⑶+⒇,⑹,⑿,⒀,⒄,⒆ |
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 |
0 | ⑴ | ⑴ | 1 | 3 |
1 | ⑺ | ⑺ | 1 | 3 |
2 | ⑾ | ⑾ | 1 | 4 |
12 | ⑼ | ⑼ | 1 | 7 |
13 | ⑹ | ⑹ | 2 | 8 |
18 | ⒆ | ⒆ | 2 | 8 |
14 | ⑻ | ⑻ | 4 | 7 |
15 | ⑿ | ⑿ | 5 | 8 |
16 | ⒀ | ⒀ | 5 | 8 |
9 | ⑶+⒇ | ⑶ ⒇ | 7 | 8 |
17 | ⒄ | ⒄ | 7 | 8 |
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
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