| 引用本文: | 车著明,金治明.第 K 次选择问题.[J].国防科技大学学报,1995,17(4):143-147.[点击复制] |
| Che Zhuming,Jin Zhiming.K_Th Choice Problem[J].Journal of National University of Defense Technology,1995,17(4):143-147[点击复制] |
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| 第 K 次选择问题 |
| 车著明1, 金治明2 |
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(1.西昌卫星发射中心;2.国防科技大学)
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| 摘要: |
| 从最优停止理论的经典问题——秘书问题出发，构想了 K 个经理从 N 个姑娘中各选一秘书的问题，证明了其最优规则，得出了概率最优值是参数为 K 的泊松分布的第K 项，即 e-kkk/k!，从侧面印证了第一标准秘书问题。 |
| 关键词: 概率 最优 停止规则 秘书问题 |
| DOI： |
| 投稿日期：1994-12-10 |
| 基金项目:国家自然科学基金资助课题 |
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| K_Th Choice Problem |
| Che Zhuming1, Jin Zhiming2 |
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(1.Xichang Satellite Launching Center;2.National University of Defense Technology)
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| Abstract: |
| Base on the classical problem of the theory of optimal stopping--the secretary problem，k-th choice problem is worked out (k managers choose k secretaries). The optimal stopping rule is given，and we proved that the optimal value of probability is the k-th item of Poisson distribution with parameter k, i. e. e-kkk/k!. It confirms the classical secretary problem with first criterion on the other hand. |
| Keywords: optimal stopping rule,chioce problem |
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