2023 American University Mathematical Modeling Competition Spring Competition Z question ideas detailed code

The first question of the title requires:

COMAP's Interdisciplinary Committee on Modern Games (ICMG) is interested in exploring creative options, strategies and policies to ensure the success of the Games and continue to connect the world through sport. Your task is to make proposals that support the work of ICMG. ICMG recommends establishing metrics to measure the impact of hosting the Games from multiple perspectives: economics, land use, human satisfaction (athletes and spectators), travel, opportunities for future improvement, host city/country prestige, and other criteria determined by your team.

Our analysis is as follows, which can be considered from the following perspectives:

Economic impact : consider measuring the economic impact of hosting the Olympic Games on the host city/country, the following indicators can be used: GDP growth rate, increase in employment opportunities, foreign investment attraction, business activities, etc.

Land use: consider measuring the impact of hosting the Olympic Games on land use, the following indicators can be used: land use area, land utilization rate, land use efficiency, environmental protection index, etc.

Human Satisfaction : Considering the impact of hosting the Olympic Games on the human satisfaction of athletes and spectators, the following indicators can be used: the quality of competition venues, accommodation conditions, transportation convenience, game viewing experience, safety index, etc.

Travel: Considering the impact of hosting the Olympic Games on travel, the following indicators can be used: international and domestic tourism revenue, number of tourists, tourism mobility, tourism safety index, etc.

Opportunities for future improvements: Consider what can be done to improve post-Olympics, using the following indicators: infrastructure upgrades, urban planning improvements, construction of athlete training facilities, etc.

Prestige of the host city/country: consider measuring the impact of hosting the Olympic Games on the prestige of the host city/country, the following indicators can be used: international popularity, city/country image index, tourism promotion index, etc.

model selection

Mathematical modeling is required in order to establish metrics to measure the impact of hosting the Olympics from multiple perspectives such as economics, land use, human satisfaction (athletes and spectators), travel, opportunities for future improvements, host city/country prestige, etc. Below we will model angle by angle.

Economic Impact Modeling:

We can use the multiple linear regression model in economics, taking the indicators such as the GDP growth rate of the Olympic Games, the increase in employment opportunities, the amount of foreign investment attracted, and the amount of commercial activities as independent variables, and the economic development level of the host city/country as the dependent variable . Then, we can conduct regression analysis on the historical data to obtain the degree of influence of each indicator on economic development.

Land Use Modeling:

We can adopt a land use optimization model, taking the land use area, land use rate, land use efficiency, environmental protection index and other indicators of the Olympic Games as constraints, and taking land use maximization as the objective function. Through the optimization algorithm, the optimal land use plan can be obtained, so as to maximize the land use efficiency of the Olympic Games.

Human Satisfaction Modeling:

We can use the analytic hierarchy process to establish a human satisfaction index system, taking the quality of competition venues, accommodation conditions, transportation convenience, viewing experience, safety index and other indicators as the various levels of the hierarchy, and then through expert questionnaires or audiences and athletes Feedback to determine the weight of each indicator. Finally, the comprehensive index of human satisfaction is calculated by means of weighted average.

Travel modeling:

We can adopt a tourism flow model, taking international and domestic tourism revenue, number of tourists, tourism mobility, tourism safety index and other indicators as independent variables, and taking the tourism development level of the host city/country as the dependent variable. Then, we can conduct regression analysis on the historical data to obtain the degree of influence of each indicator on tourism development.

Let's take land use modeling as an example to illustrate:

Describe the process of land use modeling in detail.

1. Determine the objective function and constraints

In land use modeling, our goal is to maximize the land use efficiency of the Olympic Games, so we need to use land use maximization as the objective function. At the same time, we also need to set constraints on various indicators, such as land use area, land use rate, land use efficiency, and environmental protection index.

2. Determine the decision variables

In land use modeling, we need to identify decision variables, variables that are used to optimize land use. In general, decision variables include land area, land use mode, land use, etc.

3. Establish a mathematical model

After determining the objective function, constraints and decision variables, we need to build a mathematical model. Land use modeling generally adopts linear programming or nonlinear programming methods. Specifically, we need to convert the objective function and constraints into mathematical expressions, and use mathematical tools to find the optimal solution.

4. Solve the model

By solving the mathematical model, we can get the optimal land use plan, including the land use area, land use rate, land use efficiency and environmental protection index of each activity. At the same time, we can also conduct sensitivity analysis on the solution of the model to obtain the sensitivity of the model results to each parameter, so as to help decision makers better understand the model results.

5. Analyzing Model Results

Through model solving and sensitivity analysis, we can get the optimal land use plan, so as to maximize the land use efficiency of the Olympic Games. At the same time, we also need to analyze the model results to determine which indicators have the greatest contribution to the improvement of land use efficiency, and formulate corresponding policies and measures to improve land use efficiency.

There is also the second question and more detailed ones, I put it in my own official account: Digital and Analog Incubator

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Origin blog.csdn.net/shumofuhuayuan/article/details/129878588
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