| 彩票模式设计的最优化研究 |
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| 引用本文： | 张兴永,周圣武,夏登俊.彩票模式设计的最优化研究[J].数学的实践与认识,2005,35(2):110-115. |
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| 作者姓名： | 张兴永 周圣武 夏登俊 |
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| 作者单位： | 中国矿业大学理学院,江苏,徐州,221008 |
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| 摘 要： | 讨论了彩票中一种常用模式设计的最优化问题 .特别是为描述某一彩票模式的吸引力 ,我们根据各奖项出现的概率、奖金额等因素引进了效用函数 U,对彩票模式的合理性进行评价 ;建立了以彩票管理部门的收益为目标函数、合理性为约束的优化模型 ,并给出了两个对彩票管理部门更为有利、合理的彩票模式 .
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| 关 键 词： | 彩票 奖金 效用函数 吸引力 |
| 修稿时间： | 2003年4月7日 |
Research on the Optimization of Lottery Pattern Design |
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| ZHANG Xing-yong,ZHOU Sheng-wu,XIA Deng-jun.Research on the Optimization of Lottery Pattern Design[J].Mathematics in Practice and Theory,2005,35(2):110-115. |
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| Authors: | ZHANG Xing-yong ZHOU Sheng-wu XIA Deng-jun |
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| Abstract: | This thesis probes the optimization of pattern design of lottery. To begin with, based on the probability and bonus amount of prizes, we introduce availability function U to evaluate the feasibility of lottery pattern. Then, we set up an optimized pattern of lottery with income of lottery management as target function and its feasibility as restrictions. Finally, we provide a more feasible lottery pattern for lottery management. |
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| Keywords: | lottery bonus availability function attraction |
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