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wxj630/cumcm-2023-a-heliostat-field | # Original Contest Problem
## 2023年 CUMCM A题:定日镜场的优化设计
2023 年高教社杯全国大学生数学建模竞赛题目
(请先阅读“全国大学生数学建模竞赛论文格式规范”)
A 题 定日镜场的优化设计
构建以新能源为主体的新型电力系统,是我国实现“碳达峰”“碳中和”目标的一项重要
措施。塔式太阳能光热发电是一种低碳环保的新型清洁能源技术[1]。
定日镜是塔式太阳能光热发电站(以下简称塔式电站)收集太阳能的基本组件,其底座由
纵向转轴和水平转轴组成,平面反射镜安装在水平转轴上。纵向转轴的轴线与地面垂直,可以
控制反射镜的方位角。水平转轴的轴线与地面平行,可以控制反射镜的俯仰角,定日镜及底座
示... | CUMCM 2023 A: heliostat field design | [
"math-modeling",
"cumcm",
"2023",
"problem-a",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/cumcm-2023-a-heliostat-field_result.json"
],
"task": {
"name": "wxj630/cumcm-2023-a-heliostat-field",
"description": "CUMCM 2023 A: heliostat field design",
"keywords": [
"math-modeling",
"cumcm",
"2023",
"problem-a... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/A题.pdf",
"environment/data/attachments/INDEX.md",
"environment/data/attachments/result2.xlsx",
"environment/data/attachments/result3.xlsx",
"environment/data/attachments/附件.xlsx",
"environment/data/figures/fig_1.png",
"environment/data/figures/fi... | tasks/CUMCM/cumcm-2023-a-heliostat-field |
wxj630/cumcm-2023-b-multibeam-lines | # Original Contest Problem
## 2023年 CUMCM B题:多波束测线问题
2023 年高教社杯全国大学生数学建模竞赛题目
(请先阅读“全国大学生数学建模竞赛论文格式规范”)
B 题 多波束测线问题
单波束测深是利用声波在水中的传播特性来测量水体深度的技术。声波在均匀介质中作匀
速直线传播,在不同界面上产生反射,利用这一原理,从测量船换能器垂直向海底发射声波信
号,并记录从声波发射到信号接收的传播时间,通过声波在海水中的传播速度和传播时间计算
出海水的深度,其工作原理如图1 所示。由于单波束测深过程中采取单点连续的测量方法,因
此,其测深数据分布的特点是,沿航迹的数据十分密集,而在测线间没有数据。... | CUMCM 2023 B: multibeam survey-line layout | [
"math-modeling",
"cumcm",
"2023",
"problem-b",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
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],
"task": {
"name": "wxj630/cumcm-2023-b-multibeam-lines",
"description": "CUMCM 2023 B: multibeam survey-line layout",
"keywords": [
"math-modeling",
"cumcm",
"2023",
"pro... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/B题.pdf",
"environment/data/attachments/INDEX.md",
"environment/data/attachments/result1.xlsx",
"environment/data/attachments/result2.xlsx",
"environment/data/attachments/附件.xlsx",
"environment/data/figures/fig_1.png",
"environment/data/figures/fi... | tasks/CUMCM/cumcm-2023-b-multibeam-lines |
wxj630/cumcm-2023-c-vegetable-pricing | # Original Contest Problem
## 2023年 CUMCM C题:蔬菜类商品的自动定价与补货决策
C 题 蔬菜类商品的自动定价与补货决策
在生鲜商超中,一般蔬菜类商品的保鲜期都比较短,且品相随销售时间的增加而变差,
大部分品种如当日未售出,隔日就无法再售。因此,商超通常会根据各商品的历史销售和需
求情况每天进行补货。
由于商超销售的蔬菜品种众多、产地不尽相同,而蔬菜的进货交易时间通常在凌晨3:00-
4:00,为此商家须在不确切知道具体单品和进货价格的情况下,做出当日各蔬菜品类的补货
决策。蔬菜的定价一般采用“成本加成定价”方法,商超对运损和品相变差的商品通常进行
打折销售。可靠的市场需求分析,对补货决策... | CUMCM 2023 C: vegetable pricing and replenishment | [
"math-modeling",
"cumcm",
"2023",
"problem-c",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/cumcm-2023-c-vegetable-pricing_result.json"
],
"task": {
"name": "wxj630/cumcm-2023-c-vegetable-pricing",
"description": "CUMCM 2023 C: vegetable pricing and replenishment",
"keywords": [
"math-modeling",
"cumcm",
"2023",... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/C题.pdf",
"environment/data/attachments/INDEX.md",
"environment/data/attachments/附件1.xlsx",
"environment/data/attachments/附件2.xlsx",
"environment/data/attachments/附件3.xlsx",
"environment/data/attachments/附件4.xlsx",
"environment/data/output_schema.... | tasks/CUMCM/cumcm-2023-c-vegetable-pricing |
wxj630/cumcm-2024-a-dragon-dance | # Original Contest Problem
## 2024年 CUMCM A题:板凳龙” 闹元宵
1
2024 年高教社杯全国大学生数学建模竞赛题目
(请先阅读“全国大学生数学建模竞赛论文格式规范”)
A 题 “板凳龙” 闹元宵
“板凳龙”,又称“盘龙”,是浙闽地区的传统地方民俗文化活动。人们将少则几十条,
多则上百条的板凳首尾相连, 形成蜿蜒曲折的板凳龙。盘龙时, 龙头在前领头, 龙身和龙尾
相随盘旋,整体呈圆盘状。一般来说,在舞龙队能够自如地盘入和盘出的前提下,盘龙所需
要的面积越小、行进速度越快,则观赏性越好。
某板凳龙由 223 节板凳组成,其中第 1 节为龙头,后面 221 节为龙身,最后 1 节为... | CUMCM 2024 A: dragon-dance bench kinematics | [
"math-modeling",
"cumcm",
"2024",
"problem-a",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
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"/root/results/cumcm-2024-a-dragon-dance_result.json"
],
"task": {
"name": "wxj630/cumcm-2024-a-dragon-dance",
"description": "CUMCM 2024 A: dragon-dance bench kinematics",
"keywords": [
"math-modeling",
"cumcm",
"2024",
"problem-... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/A题.pdf",
"environment/data/attachments/INDEX.md",
"environment/data/attachments/result1.xlsx",
"environment/data/attachments/result2.xlsx",
"environment/data/attachments/result4.xlsx",
"environment/data/figures/fig_1.png",
"environment/data/figur... | tasks/CUMCM/cumcm-2024-a-dragon-dance |
wxj630/cumcm-2024-b-production-decision | # Original Contest Problem
## 2024年 CUMCM B题:生产过程中的决策
2024 年高教社杯全国大学生数学建模竞赛题目
(请先阅读“全国大学生数学建模竞赛论文格式规范”)
B 题 生产过程中的决策问题
某企业生产某种畅销的电子产品,需要分别购买两种零配件(零配件 1 和零配件 2),
在企业将两个零配件装配成成品。 在装配的成品中, 只要其中一个零配件不合格,则成品一
定不合格;如果两个零配件均合格, 装配出的成品也不一定合格。 对于不合格成品, 企业可
以选择报废,或者对其进行拆解,拆解过程不会对零配件造成损坏,但需要花费拆解费用。
请建立数学模型,解决以下问题:
问题 1 供应商声称... | CUMCM 2024 B: production-process decision optimization | [
"math-modeling",
"cumcm",
"2024",
"problem-b",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/cumcm-2024-b-production-decision_result.json"
],
"task": {
"name": "wxj630/cumcm-2024-b-production-decision",
"description": "CUMCM 2024 B: production-process decision optimization",
"keywords": [
"math-modeling",
"cumcm",
... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/B题.pdf",
"environment/data/attachments/INDEX.md",
"environment/data/figures/fig_1.png",
"environment/data/output_schema.json",
"environment/data/problem.md",
"environment/data/repo/cumcm/source_materials/extracted/2024_pmkWxf8H9cfe9984c1a1a5b1263e5... | tasks/CUMCM/cumcm-2024-b-production-decision |
wxj630/cumcm-2024-c-crop-planting | # Original Contest Problem
## 2024年 CUMCM C题:农作物的种植策略
2024 年高教社杯全国大学生数学建模竞赛题目
(请先阅读“全国大学生数学建模竞赛论文格式规范”)
C 题 农作物的种植策略
根据乡村的实际情况,充分利用有限的耕地资源,因地制宜,发展有机种植产业,对乡村经济
的可持续发展具有重要的现实意义。选择适宜的农作物,优化种植策略,有利于方便田间管理,提
高生产效益,减少各种不确定因素可能造成的种植风险。
某乡村地处华北山区,常年温度偏低,大多数耕地每年只能种植一季农作物。该乡村现有露天
耕地 1201 亩,分散为 34 个大小不同的地块,包括平旱地、梯田、山坡地和水浇地 4 ... | CUMCM 2024 C: crop-planting strategy optimization | [
"math-modeling",
"cumcm",
"2024",
"problem-c",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/cumcm-2024-c-crop-planting_result.json"
],
"task": {
"name": "wxj630/cumcm-2024-c-crop-planting",
"description": "CUMCM 2024 C: crop-planting strategy optimization",
"keywords": [
"math-modeling",
"cumcm",
"2024",
"... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/C题.pdf",
"environment/data/attachments/INDEX.md",
"environment/data/attachments/result1_1.xlsx",
"environment/data/attachments/result1_2.xlsx",
"environment/data/attachments/result2.xlsx",
"environment/data/attachments/附件1.xlsx",
"environment/dat... | tasks/CUMCM/cumcm-2024-c-crop-planting |
wxj630/cumcm-2025-a-smoke-screen | # Original Contest Problem
## 2025年 CUMCM A题:烟幕干扰弹的投放策略
2025 年高教社杯全国大学生数学建模竞赛题目
(请先阅读“全国大学生数学建模竞赛论文格式规范”)
A 题 烟幕干扰弹的投放策略
烟幕干扰弹主要通过化学燃烧或爆炸分散形成烟幕或气溶胶云团,在目标前方特定空域
形成遮蔽,干扰敌方导弹,具有成本低、效费比高等优点。随着烟幕干扰技术的不断发展,
现已有多种投放方式完成烟幕干扰弹的定点精确抛撒,即在抛撒前能精确控制烟幕干扰弹到
达预定位置,通过时间引信时序控制起爆时间。
现考虑运用无人机完成烟幕干扰弹的投放策略问题。具有长续航能力的无人机挂载某型
烟幕干扰弹在特定空域巡飞,受... | CUMCM 2025 A: UAV smoke-screen strategy | [
"math-modeling",
"cumcm",
"2025",
"problem-a",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/cumcm-2025-a-smoke-screen_result.json"
],
"task": {
"name": "wxj630/cumcm-2025-a-smoke-screen",
"description": "CUMCM 2025 A: UAV smoke-screen strategy",
"keywords": [
"math-modeling",
"cumcm",
"2025",
"problem-a",
... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/A题.pdf",
"environment/data/attachments/INDEX.md",
"environment/data/attachments/result1.xlsx",
"environment/data/attachments/result2.xlsx",
"environment/data/attachments/result3.xlsx",
"environment/data/output_schema.json",
"environment/data/prob... | tasks/CUMCM/cumcm-2025-a-smoke-screen |
wxj630/cumcm-2025-b-sic-thickness | # Original Contest Problem
## 2025年 CUMCM B题:碳化硅外延层厚度的确定
2025 年高教社杯全国大学生数学建模竞赛题目
(请先阅读“全国大学生数学建模竞赛论文格式规范”)
B 题 碳化硅外延层厚度的确定
碳化硅作为一种新兴的第三代半导体材料,以其优越的综合性能表现正在受到越来越多
的关注。碳化硅外延层的厚度是外延材料的关键参数之一,对器件性能有重要影响。因此,
制定一套科学、准确、可靠的碳化硅外延层厚度测试标准显得尤为重要。
红外干涉法是外延层厚度测量的无损伤测量方法,其工作原理是,外延层与衬底因掺杂
载流子浓度的不同而有不同的折射率,红外光入射到外延层后,一部分从外延层表面反射出
来... | CUMCM 2025 B: SiC epitaxial-layer thickness inversion | [
"math-modeling",
"cumcm",
"2025",
"problem-b",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/cumcm-2025-b-sic-thickness_result.json"
],
"task": {
"name": "wxj630/cumcm-2025-b-sic-thickness",
"description": "CUMCM 2025 B: SiC epitaxial-layer thickness inversion",
"keywords": [
"math-modeling",
"cumcm",
"2025",
... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/B题.pdf",
"environment/data/attachments/INDEX.md",
"environment/data/attachments/附件1.xlsx",
"environment/data/attachments/附件2.xlsx",
"environment/data/attachments/附件3.xlsx",
"environment/data/attachments/附件4.xlsx",
"environment/data/figures/fig_1.... | tasks/CUMCM/cumcm-2025-b-sic-thickness |
wxj630/cumcm-2025-c-nipt | # Original Contest Problem
## 2025年 CUMCM C题:NIPT 的时点选择与胎儿的异常判定
2025 年高教社杯全国大学生数学建模竞赛题目
(请先阅读“全国大学生数学建模竞赛论文格式规范”)
C 题 NIPT 的时点选择与胎儿的异常判定
NIPT(Non-invasive Prenatal Test,即无创产前检测)是一种通过采集母体血液、检测胎儿的游离
DNA 片段、分析胎儿染色体是否存在异常的产前检测技术,目的是通过早期检测确定胎儿的健康状况。
根据临床经验,畸型胎儿主要有唐氏综合征、爱德华氏综合征和帕陶氏综合征,这三种体征分别由胎儿
21 号、18 号和13 号“染色体游离DNA 片... | CUMCM 2025 C: NIPT timing and fetal abnormality modeling | [
"math-modeling",
"cumcm",
"2025",
"problem-c",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/cumcm-2025-c-nipt_result.json"
],
"task": {
"name": "wxj630/cumcm-2025-c-nipt",
"description": "CUMCM 2025 C: NIPT timing and fetal abnormality modeling",
"keywords": [
"math-modeling",
"cumcm",
"2025",
"problem-c",... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/C题.pdf",
"environment/data/attachments/INDEX.md",
"environment/data/attachments/附件.xlsx",
"environment/data/output_schema.json",
"environment/data/problem.md",
"environment/data/repo/cumcm/source_materials/extracted/2025_SvpohSGacdffe718bcaa3b6e835... | tasks/CUMCM/cumcm-2025-c-nipt |
wxj630/mcm-2023-a-plant-community | # Original Contest Problem
## 2023-A MCM-A: Drought-Stricken Plant Communities
2023 MCM
Problem A: Drought-Stricken Plant Communities
Photo Credit: Pixabay.com
Background
Different species of plants react to stresses in different ways. For example, grasslands are quite
sensitive to drought. Droughts occur at varyin... | MCM 2023 A: drought-stricken plant communities | [
"math-modeling",
"mcm",
"2023",
"problem-a",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/mcm-2023-a-plant-community_result.json"
],
"task": {
"name": "wxj630/mcm-2023-a-plant-community",
"description": "MCM 2023 A: drought-stricken plant communities",
"keywords": [
"math-modeling",
"mcm",
"2023",
"probl... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/Drought-Stricken Plant Communities.pdf",
"environment/data/attachments/INDEX.md",
"environment/data/output_schema.json",
"environment/data/problem.md",
"environment/data/repo/mcm/source_materials/official_extracted/2023/Drought-Stricken Plant Communi... | tasks/MCM/mcm-2023-a-plant-community |
wxj630/mcm-2023-b-maasai-mara | # Original Contest Problem
## 2023-B MCM-B: Reimagining Maasai Mara
2023 MCM
Problem B: Reimagining Maasai Mara
Photo Credit: Pixabay.com
Background
Kenya’s wildlife preserves were originally created primarily to protect wildlife and other natural
resources. Kenya’s parliament passed the Wildlife Conservation and M... | MCM 2023 B: reimagining Maasai Mara | [
"math-modeling",
"mcm",
"2023",
"problem-b",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/mcm-2023-b-maasai-mara_result.json"
],
"task": {
"name": "wxj630/mcm-2023-b-maasai-mara",
"description": "MCM 2023 B: reimagining Maasai Mara",
"keywords": [
"math-modeling",
"mcm",
"2023",
"problem-b",
"math-... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/INDEX.md",
"environment/data/attachments/Reimagining Maasai Mara.pdf",
"environment/data/output_schema.json",
"environment/data/problem.md",
"environment/data/repo/mcm/source_materials/official_extracted/2023/Reimagining Maasai Mara.pdf",
"environm... | tasks/MCM/mcm-2023-b-maasai-mara |
wxj630/mcm-2023-c-wordle | # Original Contest Problem
## 2023-C MCM-C: Predicting Wordle Results
2023 MCM
Problem C: Predicting Wordle Results
Image: nytco.com[1]
Background
Wordle is a popular puzzle currently offered daily by the New York Times. Players try to solve
the puzzle by guessing a five-letter word in six tries or less, receiving ... | MCM 2023 C: predicting Wordle results | [
"math-modeling",
"mcm",
"2023",
"problem-c",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/mcm-2023-c-wordle_result.json"
],
"task": {
"name": "wxj630/mcm-2023-c-wordle",
"description": "MCM 2023 C: predicting Wordle results",
"keywords": [
"math-modeling",
"mcm",
"2023",
"problem-c",
"math-modeling... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/2023_MCM_Problem_C_Data.xlsx",
"environment/data/attachments/INDEX.md",
"environment/data/attachments/Predicting Wordle Results.pdf",
"environment/data/figures/fig_1.png",
"environment/data/figures/fig_2.png",
"environment/data/output_schema.json",... | tasks/MCM/mcm-2023-c-wordle |
wxj630/mcm-2024-a-lamprey | # Original Contest Problem
## 2024-A MCM-A: Resource Availability and Sex Ratios
2024 MCM
Problem A: Resource Availability and Sex Ratios
While some animal species exist outside of the usual male or female sexes, most species are
substantially either male or female. Although many species exhibit a 1:1 sex ratio at b... | MCM 2024 A: lamprey sex-ratio ecology | [
"math-modeling",
"mcm",
"2024",
"problem-a",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/mcm-2024-a-lamprey_result.json"
],
"task": {
"name": "wxj630/mcm-2024-a-lamprey",
"description": "MCM 2024 A: lamprey sex-ratio ecology",
"keywords": [
"math-modeling",
"mcm",
"2024",
"problem-a",
"math-modeli... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/INDEX.md",
"environment/data/attachments/Resource Availability and Sex Ratios.pdf",
"environment/data/output_schema.json",
"environment/data/problem.md",
"environment/data/repo/mcm/source_materials/official_extracted/2024/Resource Availability and Se... | tasks/MCM/mcm-2024-a-lamprey |
wxj630/mcm-2024-b-submersible-search | # Original Contest Problem
## 2024-B MCM-B: Searching for Submersibles
2024 MCM
Problem B: Searching for Submersibles
Maritime Cruises Mini-Submarines (MCMS), a company based in Greece, builds submersibles
capable of carrying humans to the deepest parts of the ocean. A submersible is moved to the
location and deploy... | MCM 2024 B: submersible localization and search planning | [
"math-modeling",
"mcm",
"2024",
"problem-b",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/mcm-2024-b-submersible-search_result.json"
],
"task": {
"name": "wxj630/mcm-2024-b-submersible-search",
"description": "MCM 2024 B: submersible localization and search planning",
"keywords": [
"math-modeling",
"mcm",
"202... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/INDEX.md",
"environment/data/attachments/Searching for Submersibles.pdf",
"environment/data/output_schema.json",
"environment/data/problem.md",
"environment/data/repo/mcm/source_materials/official_extracted/2024/Searching for Submersibles.pdf",
"en... | tasks/MCM/mcm-2024-b-submersible-search |
wxj630/mcm-2024-c-tennis-momentum | # Original Contest Problem
## 2024-C MCM-C: Momentum in Tennis
2024 MCM
Problem C: Momentum in Tennis
In the 2023 Wimbledon Gentlemen’s final, 20-year-old Spanish rising star Carlos Alcaraz
defeated 36-year-old Novak Djokovic. The loss was Djokovic’s first at Wimbledon since 2013
and ended a remarkable run for one o... | MCM 2024 C: momentum in tennis | [
"math-modeling",
"mcm",
"2024",
"problem-c",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/mcm-2024-c-tennis-momentum_result.json"
],
"task": {
"name": "wxj630/mcm-2024-c-tennis-momentum",
"description": "MCM 2024 C: momentum in tennis",
"keywords": [
"math-modeling",
"mcm",
"2024",
"problem-c",
"ma... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/2024_Wimbledon_featured_matches.csv",
"environment/data/attachments/2024_data_dictionary.csv",
"environment/data/attachments/INDEX.md",
"environment/data/attachments/Momentum in Tennis.pdf",
"environment/data/output_schema.json",
"environment/data/... | tasks/MCM/mcm-2024-c-tennis-momentum |
wxj630/mcm-2025-a-stair-wear | # Original Contest Problem
## 2025-A MCM-A: Testing Time: The Constant Wear On Stairs
2025 MCM
Problem A: Testing Time: The Constant Wear On Stairs
Stone is a symbol of steadfast permanence, and carved rock is used as a building material
because of its ability to resist wear. Despite its durability, even stone is no... | MCM 2025 A: stair wear and historical traffic inference | [
"math-modeling",
"mcm",
"2025",
"problem-a",
"math-modeling-contest"
] | 1.3 | {
"schema_version": "1.3",
"artifacts": [
"/root/results/mcm-2025-a-stair-wear_result.json"
],
"task": {
"name": "wxj630/mcm-2025-a-stair-wear",
"description": "MCM 2025 A: stair wear and historical traffic inference",
"keywords": [
"math-modeling",
"mcm",
"2025",
"proble... | {
"author_name": "Xiaojun Wu",
"author_email": "wuxiaojun@pku.edu.cn",
"author_organization": "The Hong Kong University of Science and Technology (Guangzhou)",
"author_profile": "https://scholar.google.com/citations?user=nWK11zgAAAAJ&hl=zh-CN",
"conflicts_of_interest": "None",
"difficulty_explanation": "Thi... | [
"environment/Dockerfile",
"environment/data/attachments/2025_MCM_Problem_A.pdf",
"environment/data/attachments/INDEX.md",
"environment/data/figures/fig_1.png",
"environment/data/output_schema.json",
"environment/data/problem.md",
"environment/data/repo/docs/mcm-2015-2025/official_assets_extracted/2025/2... | tasks/MCM/mcm-2025-a-stair-wear |
Terminal-Bench Math Modeling
TB-MathModel (short: tb-mathmodeling) is a Terminal-Bench-style benchmark for
end-to-end mathematical-modeling workflows. It contains 18 tasks: CUMCM and MCM
problems A, B, and C from 2023, 2024, and 2025.
Code, verifiers, oracles, scoring scripts, and leaderboard live in the GitHub repository:
wxj630/terminal-bench-math-modeling.
This dataset mirrors its tasks/ directory so the tasks can be downloaded without cloning.
Paper: arXiv:2611.08237 (cs.CL), doi:10.48550/arXiv.2611.08237
@misc{wu2026terminalstylemathematicalmodelingbench,
title={Terminal-style Mathematical Modeling Bench: The First Agentic and Verifiable Benchmark for Mathematical Modeling},
author={Xiaojun Wu and Cehao Yang and Xuhui Jiang and Chengjin Xu and Jia Li and Jian Guo},
year={2026},
eprint={2611.08237},
archivePrefix={arXiv},
primaryClass={cs.CL},
url={https://arxiv.org/abs/2611.08237},
}
What is in this dataset
tasks/
├── CUMCM/ # 9 tasks: 2023 A/B/C, 2024 A/B/C, 2025 A/B/C
└── MCM/ # 9 tasks: 2023 A/B/C, 2024 A/B/C, 2025 A/B/C
Each task directory is self-contained:
| Path | Contents |
|---|---|
instruction.md |
The original contest statement plus the benchmark's final-answer requirement |
environment/ |
Dockerfile, mirrored official attachments, and output_schema.json |
tests/ |
Verifier: score_config.json, score_result.py, test_outputs.py, expected_result.json |
solution/ |
Oracle reproduction and solve.sh |
task.toml |
Harbor task metadata: timeouts, resources, scoring scope |
scoring_table.md |
Human-readable scoring panel for the task |
The required artifact for every task is /root/results/<task-slug>_result.json.
Scoring
Real modeling problems rarely have one exact answer, so each task is scored on a single core scalar for the final question — an optimized objective, a recommended policy value, or a binary decision — rather than on every number in a report.
Two reference constructs are used:
- B-Eval (default):
raw_panel_score - baseline_panel_score, i.e. how much the submission improves over a baseline method. May be negative. - BO-Eval: the baseline-to-outstanding normalized score, using explicit
baseline_value/outstanding_value/normalization_directionper metric.
The released board in the GitHub repository additionally reports a Multi-O Eval, which averages each task over every O-award human paper that reports the task's scored field, and a Multi-BO index anchored at DeepSeek V4.1 Flash = 1.000.
Leaderboard
| Rank | Model | Multi-O Eval | Multi-BO index (Flash = 1.000) |
|---|---|---|---|
| 1 | claude-code + Fable 5.1 | 64.62% | 1.1637 |
| 2 | codex + GPT-6 Astra | 61.47% | 1.1200 |
| 3 | opencode + DeepSeek V4.1 Flash | 59.81% | 1.0000 |
| 4 | codex + GPT-5.5 xhigh | 59.75% | 1.0061 |
| 5 | opencode + DeepSeek V4.1 Flash (max) | 48.11% | 0.8636 |
Single runs; across 3 seeds the per-model deviation is ±1.3–2.9pp.
Quickstart
harbor run -p tasks/CUMCM/cumcm-2024-a-dragon-dance -a oracle
harbor run -p tasks/MCM/mcm-2024-c-tennis-momentum -a codex -m openai/gpt-5
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