How to Write a Winning CUMCM Modeling Competition Paper: Step-by-Step Guide

Paper Overall Structure

A qualified modeling paper should include the following sections.

1. Abstract

The abstract is the first thing reviewers see; it must briefly summarize the problem background, main methods, core results, and conclusions in 300–500 words, highlighting the method’s purpose and key findings rather than merely listing used techniques.

2. Problem Restatement

This part clarifies the understanding of the contest problem, presenting the background and specific questions in concise language without copying the original statement, and sets the stage for modeling and assumptions.

3. Model Assumptions

Reasonable assumptions simplify the real-world problem into a tractable mathematical model; each assumption should have a realistic basis and remain consistent with later modeling steps.

4. Symbol Explanation

A clear symbol table—preferably in tabular form—lists each symbol, its meaning, and units, ensuring consistency throughout the paper.

5. Model Building and Solving

This core section expands each problem sequentially, covering:

Modeling Idea: Why this method was chosen.

Model Expression: Mathematical formulas, equations, or diagrams.

Model Solving: Theoretical derivation, numerical methods, or simulation.

Result Presentation: Data, charts, and comparative analysis, with code results where appropriate.

6. Model Verification and Evaluation

Reliability is demonstrated through validation against real data, comparison with other models, sensitivity analysis, or extreme condition testing, accompanied by a strengths‑weaknesses discussion.

7. Model Extension and Improvement

Discuss potential applications of the model in other scenarios and suggest future enhancements, such as incorporating stochastic disturbances.

8. References

References show scholarly rigor and should follow a uniform citation style (e.g., GB/T 7714), citing textbooks, authoritative papers, or classic algorithms.

9. Appendices

Appendices may contain program code, data samples, or detailed derivations, keeping the main text free of large code blocks.

Paper Writing Logic and Expression

Modeling papers differ from regular coursework papers; reviewers have only minutes, so clarity and focus are crucial.

1. Pyramid Structure

Adopt a “conclusion first” approach: present the main findings and reasoning up front, then elaborate on details.

2. Problem‑Model‑Result Three‑Part Structure

Define the Problem: State the mathematical question to be solved.

Build the Model: Provide the modeling ideas, assumptions, and equations.

Derive the Result: Show data, conclusions, and interpretation.

3. Balance Figures and Text

Use clear tables for data and graphs for trends; each figure should have a title, axes labels, units, and be explained in the text.

4. Brevity and Precision

Keep the paper concise (20–30 pages), using precise language rather than ornamental prose.

Common Problems and Pitfalls

Typical issues that cause score loss include:

Missing or vague abstract : No data or highlights.

Unjustified assumptions : Overly many or unsupported premises.

Confusing symbols : Inconsistent or undefined symbols.

Copy‑paste methods : Lack of originality or adaptation to the problem.

Results without explanation : No interpretation of what the numbers mean.

Absent model evaluation : No validation or sensitivity analysis.

Improper AI usage : Failure to declare AI assistance or overreliance on AI output, risking plagiarism.

Other Reference Resources

For example papers and past winning submissions, see the article titled “2025数学建模国赛备赛必看：历年优秀论文与评阅汇总” (URL: https://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653699290&idx=1&sn=09c5ca052eda3c63fa4315d3e959b23a&scene=21#wechat_redirect).

The national undergraduate mathematical modeling contest tests comprehensive abilities; a well‑written paper showcases clear structure, rigorous logic, proper expression, creativity, and deep thinking, reflecting both mathematical tools and research attitude.

Good luck and may you achieve excellent results!