Analysis of Impact of Mobile Devices on Information Search through the Internet and e-Commerce

最近，越来越多的论文已经发表了关于移动的设备对电子商务的影响。所有这些文件都是实证的，定性的或静态的分析性质，并没有研究存在于文献中捕捉电子商务和移动商务之间的行为差异的基础上的数学随机模型。本研究的目的是开发和分析一个数学模型，比较电子商务通过传统的PC访问只与移动商务，它既容纳了传统的PC访问和移动的访问。明确地导出了在时间t之前购买的产品的数量的分布和销售K个产品所需的时间的分布，使得人们能够评估移动的设备对电子商务的影响。数值例子来说明移动商务消费者和传统电子商务消费者之间的行为差异。

Recently, increasingly many papers have been published concerning impact of mobile devices on e-commerce. All of these papers are either empirical, qualitative or static in their analytical nature and no study exists in the literature for capturing behavioral differences between e-commerce and m-commerce based on a mathematical stochastic model. The purpose of this study is to develop and analyze a mathematical model for comparing e-commerce via the traditional PC access only with m-commerce which accommodates both the traditional PC access and the mobile access. The distribution of the number of products purchased by time t and the distribution of the time required for selling K products are derived explicitly, enabling one to assess the impact of mobile devices on e-businesses. Numerical examples are given for illustrating behavioral differences between m-commerce consumers and traditional e-commerce consumers.