| DVD在线租赁的数学模型 |
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| 引用本文： | 陶应奇,罗永济,李荣,周尊仁.DVD在线租赁的数学模型[J].绵阳师范学院学报,2006,25(2):10-14. |
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| 作者姓名： | 陶应奇 罗永济 李荣 周尊仁 |
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| 作者单位： | 武警成都指挥学院,四川,成都,610213 |
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| 摘 要： | 首先运用概率统计方法,对问卷调查结果和会员每月租赁DVD次数进行分析,合理地解决了网站既要尽可能满足消费者的意愿,同时又使成本低廉的矛盾；其次运用整数规划,根据100名会员的在线订单和网站手上20种DVD的现有张数,进行了定性地分配,并用分类规划,进行了定量地分配；再用定性反过来约束定量,井进行误差分析,根据会员要求和网站的宏观调控,得出了最优的分配方案,最后依据最优化原理导出递推关系,将整数规划转化为动态规划,进而求出每种DVD合理的购买量,并对这些DVD进行合理的分配；然后在计算机上用Lingo软件对模型进行灵敏度检验,模型还对网站DVD在线租赁提出几点建议供网站参考。
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| 关 键 词： | 数学期望 整数规划 模型 |
| 文章编号： | 1672-612x(2006)02-0010-05 |
| 收稿时间： | 11 6 2005 12:00AM |
| 修稿时间： | 2005年11月6日 |
Mathematics Model for DVD Online Lease |
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| TAO Ying-qi,LUO Yong-ji,LI Rong,ZHOU Zun-ren.Mathematics Model for DVD Online Lease[J].Journal of Mianyang Normal University,2006,25(2):10-14. |
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| Authors: | TAO Ying-qi LUO Yong-ji LI Rong ZHOU Zun-ren |
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| Institution: | Department of Mathenlafics and Information Science, Mianyang Normal University , Mianyang, Sichuan 621000 |
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| Abstract: | The methods of probability and statistics are employed to make an analysis of the questionnaire re- sult and the times of each member(?) renting DVD per month,which solved the existed problem for the website be- tween satisfying the consumer(?)will as possible as it could do and costing less.Then,in accordance with the online orders of 100 members and pieces of 20 kinds of DVD online,a qualitative distribution through integral program- ming and a quantificational distribution by classifying programming are made.The qualitative method is again em- ployed to restrict the quantification and to analyze the errors.An optimum distributing scheme is given in accord- ance with the members demands and the macro control of the website.Finally with optimization theory as the base, the recurrence relations and the conversion of the integrate programming to dynamic programming are got to figure out the reasonable purchase quantity of each kind of DVDs as well as a reasonable distribution of these DVDs.Some advices about the website(?) DVD online release are also given after the model has been tested on its sensibility by Lingo. |
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| Keywords: | mathematic anticipation integral planning model |
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