| 引用本文: | 沙基昌.天平模型中的二坏元问题.[J].国防科技大学学报,1994,16(4):68-78.[点击复制] |
| Sha Jichang.The Scale Model with Two Defectives[J].Journal of National University of Defense Technology,1994,16(4):68-78[点击复制] |
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| 天平模型中的二坏元问题 |
| 沙基昌 |
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(国防科技大学 系统工程与数学系 湖南 长沙 410073)
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| 摘要: |
| 给出了坏元问题的一般定义，引进了有关概念，叙述了搜索方案最优性的五个等级。重点对双试验下的二坏元问题中天平模型作了研究，证明了一系列引理与定理，提出了一个搜索方案，证明了它是依测度最优的。文章最后指出该方案不是一致最优的，并猜测信息论最优的搜索方案是存在的。 |
| 关键词: 组合数学 计数 坏元问题 |
| DOI： |
| 投稿日期：1993-05-03 |
| 基金项目: |
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| The Scale Model with Two Defectives |
| Sha Jichang |
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(Department of System Engineering and Mathematics，NUDT，Changsha，410073)
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| Abstract: |
| The definition of detection on defectives is given，which is suitable for both distinctive defectives and nondistinctive defectives. This paper is focalized on the scale model with two defectives under a bi-test de-vice. A search schedule is presented and proved that it is optimal by measure. At the end of this paper it is pointed out that the search schedule mentioned above is not uniformly optimal and a guess is made that an informational optimal search schedule maybe exists. |
| Keywords: combinatorics enumeration defective problems |
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