Analysis on the Sustainable Development of Higher Education Based on Rank-Sum Ratio and Time Series

In order to help every country to have a healthy and sustainable higher education system, this paper proposes a series of mathematical models, including Rank-Sum Ratio Model and Time Series Model to measure and assess the health of higher education system at a national level, and identify a healthy and sustainable state of higher education system and propose and analyze relevant effective policies for one country. After collecting various valid education-related data, a Rank-Sum Ratio Model is used to analyze and rank the current comprehensive education strength of the U.S.and Japan. According to the raking result, we further choose three countries, including the United States, Japan and China, for specific analysis.A Time Series Model is used to predict the missing higher education data in 2020 for the United States, Japan and China, as the data of 2020 have not been published.