手机“套餐”优惠方案_数学与应用数学.doc

摘要

当今社会科学技术迅速发展，手机已成为人们日常工作、社交、经营等社会生活中的必要交流工具之一，近年来通信业务量飞速增长,在资费的价格战中，各运营商都相继推出了各种品牌的“套餐”。

　　　本文主要对两种中国移动手机的资费方案：北京移动公司全球通“畅听99套餐”和上海移动公司“全球通68套餐”的各方案进行分析、对比，为用户选取适用自己的“套餐”方案提供参考。

　　　首先，我们分别建立两种“套餐”的数学模型，并对数学模型求解，进一步分析说明“套餐”内的各个方案所适用的人群，即不同（通话量）需求的用户能够在满足其需求的前提下，所缴纳的费用最少。

　　　然后，我们在现有“套餐”方案运营商的收入降低不超过10%的条件下，用数学建模方法设计一个更合理，对用户更适用的“套餐”方案。

关键词：手机“套餐”；临界值；数学模型

ABSTRACT

　　　With the social science and technology rapid development, cell phone was used as a tool which is one of the people necessary communication in daily work, social, management and other social life. In recent years, the quantity of service communication is rapid growth, in the price war of fee, the operators launch all sorts of brands “Package". 

　　　This paper aims to provide references for the users to choose his own suitable “Package" plan by analyzing and comparing the two kinds of mobile phone fees plan— Beijing mobile company’s "global clang ting 99 Package" and Shanghai mobile company’s "global 68 Package".

　　　First, we establish mathematical model of two kinds “Package" , and go on solver it, further analysis and introduce the applicable people of each scheme in the two “package” , namely, different customers pay minimum expenses under the condition of meeting their demands.

　　　Then, in the existing " Package" scheme operator's income reducing no more than 10% of conditions, we will use mathematical modeling method to design a "Package" scheme which more reasonable and more suitable for users . 

Key words: Mobile phone "Package"; Critical value; Mathematical model