摘要

當今社會科學技術迅速發展，手機已成為人們日常工作、社交、經營等社會生活中的必要交流工具之一，近年來通信業務量飛速增長,在資費的價格戰中，各運營商都相繼推出了各種品牌的“套餐”。

　　　本文主要對兩種中國移動手機的資費方案：北京移動公司全球通“暢聽99套餐”和上海移動公司“全球通68套餐”的各方案進行分析、對比，為用戶選取適用自己的“套餐”方案提供參考。

　　　首先，我們分別建立兩種“套餐”的數學模型，并對數學模型求解，進一步分析說明“套餐”內的各個方案所適用的人群，即不同（通話量）需求的用戶能夠在滿足其需求的前提下，所繳納的費用最少。

　　　然后，我們在現有“套餐”方案運營商的收入降低不超過10%的條件下，用數學建模方法設計一個更合理，對用戶更適用的“套餐”方案。

關鍵詞：手機“套餐”；臨界值；數學模型

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