DVD在线租赁的数学模型

摘 要

关键字： DVD在线租赁；0-1型整数规划；LINGO数学软件；满意度

Abstract

Today science and technology have been developing in high speed. The network is becomes us to disseminate the information main channel as well as one kind of greatest economical resources. Many websites use its formidable resources and well-knownness, provides the daily specialization and the convenient service face its member group, for example: DVD on-line rents. This article solves is DVD on-line rents the question, the model mainly involves to the DVD quantity, in a month rents number of times as well as member to each DVD degree of satisfaction. In the model has utilized 0-1 integer plan, and uses LINGO mathematics software to solve the model. In processes when asks, satisfies 50% situation regarding a month, after analyzed uses a simple enveloping chart to describe. And deferred to the analysis to establish the population which each DVD was willing to watch by the examination table in for the parameter mathematical model. In second asked the model establishes, this article is demonstrated with the members on-line order form in the wish order figure reciprocal, expresses the member to this DVD degree of satisfaction. Take the degree of satisfaction most greatly as the objective function. Meanwhile lists its restraint condition according to the topic, using the LINGO 8.0 programming, and the computation has obtained all DVD assignment situation (appendix one). Is solving question three times, also take degree of satisfaction most greatly as objective function. Changes three restraints conditions, also similarly using the LINGO 8.0 programming, and the computation obtains the assignment situation (appendix two), utilized the form form in this article to indicate each kind of DVD purchase quantity.

Keywords：DVD on-line rents；0-1 integer plan；LINGO mathematics software；Degree of satisfaction