DVD在线租赁分配模型

ASSIGN MODEL OF DVD ON-LINE TENANCY

对自由竞争环境下的DVD租赁服务中的DVD分配环节进行了模型研究。以最大满意度为目标,考虑到网站不会租赁给会员不偏爱的DVD和DVD租赁比例的要求,建立整数规划模型。通过适当地运用0-1变量的特性将约束条件中的非线性约束转化为线性约束条件。考虑在满意度最大的前提下尽可能地使DVD采购量最小,建立了双目标模型。并对这些模型利用lingo软件进行了求解。对模型的推广进行了进一步的讨论。

In this paper, the DVD＇ s assign problem has been studied with mathematics model in market - free - competition circumstance of DVD on - line tenancy. First, the aim is maximum of satisfaction. Considering not leasing the DVD which is not partial to member and considering the proportion of DVD tenancy, the integer programming model is made. In the model, non -linear restricted condition is translated into linear restricted condition using skillfully two 0 - 1 variables. Then considering minimum of DVD purchasing gross insuring maximum of satisfaction, twin -aim programming model is made. And these models are solved by lingo software. Finally, the model is improved.