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# 数学代写|运筹学代写Operations Research代考|MATH3830 SOLVING GAMES: 5G TECHNOLOGY

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## 数学代写|运筹学代写Operations Research代考|SOLVING GAMES: 5G TECHNOLOGY

Fifth generation technology $(5 \mathrm{G})$ is the new technology providing faster Internet speeds with better reach and penetration than presently available $3 \mathrm{G}$ and $4 \mathrm{G}$ technology. Major telecom companies like AT\&T, T-Mobile and Verizon in the US, China Unicom in China and Samsung, the South Koran telecom giant, have taken the lead in developing and providing $5 \mathrm{G}$ telecom services. In 2017, more than $34 \%$ of the Indian population accessed the Internet, which increased to over $52 \%$ by 2020 . India, with 688 million Internet users by January 2020 , makes it the second largest Internet market in the world only after China. Such exponential growth makes the Indian market very attractive to various telecom companies. Taking the cue, India’s two largest players, Reliance Jio Infocomm and Bharti Airtel, have been developing their plans to roll out the $5 \mathrm{G}$ technology at the earliest. The companies considered government policy delay and lack of availability of adequate capital to major bottlenecks in efficient development of $5 \mathrm{G}$ technology. However, both companies, Reliance Jio (let’s call it as A) and Airtel (B) are preparing to launch it on the same low band spectrum which provides great coverage and high speed of Internet.

Looking at socio-economic scenario, companies have initiated the process of creating this new technology at a similar point in time in an attempt to produce it first. They have directed their teams to create the product within 12 months of the start of the product development process. In such a competitive situation, both opponents would like to introduce the product in the marketplace to achieve first mover advantage. It would result in a significant advantage in sales. Company A has estimated increase in sales of the new product under three scenarios, i.e. if the product is introduced 4,6 or 8 months before launch deadline of 12 months. Similarly, company B also estimated its sales under scenarios of 1,3 and 5 months before the launch deadline. As both companies are engaged in competition of to introduce the product first in the market, so the following payoff table indicates an increase in sales as a combination of two strategies. The strategies in this case are launch dates before the deadline. Managers of both companies want to find the most optimum strategy. Various strategies of each company and payoffs of each combination of strategy are shown in Table 9.1.

## 数学代写|运筹学代写Operations Research代考|exPlanation of Payoff table

The payoff table indicates gain or loss by both players when each of them plays a particular strategy. In this case, values indicate an increase in sales in thousands. So, if A plays A1, i.e. the company is ready to launch the product 4 months before the deadline date and in response, B can launch it only 1 month before, then A would gain a sales of 3 (in thousands) more than B. Similarly A would gain sales of 4 and 2 if $\mathrm{B}$ responds by playing $\mathrm{B} 2$ and $\mathrm{B} 3$, respectively. It is important to note that expediting the process of product development asks for input of extra resources, which might make the entire process financially unviable. In addition, products produced in haste could have quality issues. This can be seen if A decides to launch a product at the earliest, i.e. 8 months before (A3) launch date. B would gain by launching either 3 or 5 months before, i.e. if B plays B2 or B3 it would most likely incur gain two or one units of sales than A. As both players in these companies are opponents, so gain of one is loss of the other. That is why, the gain of $\mathrm{B}$ is shown with a minus sign and that of $\mathrm{A}$ with a plus sign. The payoff table shows that A can still gain by playing $\mathrm{A} 3$ if $\mathrm{B}$ is quite late in responding, i.e. if it plays B1. As it has estimated, any flaws in the product can be rectified before B’s launch of a similar product. Each strategy selected individually is termed as a pure strategy. Out of three strategies, A1, A2 and A3, company A would be least willing to select A3 as it has chances of incurring losses as compared to A1 and A2. On the other hand, B would most likely play B2 or B3 as B1 would definitely give it a loss, whereas these two strategies might provide him with some gain depending on A’s strategy. This choice is done rationally as both companies know how the other will respond. This selection of the most appropriate strategy is solved in the next section.

## Matlab代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。