基于语言变迁的办公室选址模型——2018年美赛B题点评及改进

Office Location Model Based on Language Change

本文是对2018年美国大学生数学建模竞赛获得特等奖的5篇论文点评及模型改进.首先,对2018年美赛B题的要求进行概括和分析;然后,对获得特等奖的5篇论文进行点评;最后,基于获奖论文的模型进行改进,分别建立了母语使用者数量分布模型、非母语使用者数量分布模型、母语使用者地理分布模型和非母语使用者地理分布模型,由以上模型得到各种语言的使用者数量分布和地理分布,建立了公司新办公地点选址模型,确立了公司新的办公室地址.

This paper is a review and model improvement of five papers which won the Outstanding prize of MCM/ICM.Firstly,the requirements of Question B of the 2018 MCM/ICM are summarized and analyzed.Secondly,five papers that won the Outstanding prize are commented on.Finally,based on the model of the prize-winner papers,the number distribution model of mother tongue users,the number distribution model of non-mother tongue users,the geographical distribution model of mother tongue users and non-mother tongue users are established respectively.Based on the above model,the number and geographical distribution of users in different languages are obtained,and the location model of the new office is established,and the new office address of the company is established.