篇一：2012年 数学建模美赛论文格式规范
全国大学生数学建模竞赛论文格式规范
? 本科组参赛队从A、B题中任选一题，专科组参赛队从C、D题中任选一题。
? 论文用白色A4纸单面打印；上下左右各留出至少2.5厘米的页边距；从左侧装订。
? 论文第一页为承诺书，具体内容和格式见本规范第二页。
? 论文第二页为编号专用页，用于赛区和全国评阅前后对论文进行编号，具体内容和格式见本规范第三页。
? 论文题目和摘要写在论文第三页上，从第四页开始是论文正文。（不要目录）
? 论文从第三页开始编写页码，页码必须位于每页页脚中部，用阿拉伯数字从“1”开始连续编号。
? 论文不能有页眉，论文中不能有任何可能显示答题人身份的标志。 ? 论文题目用三号黑体字、一级标题用四号黑体字，并居中；二级、三级标题用小四号黑体字，左端对齐（不居中）。论文中其他汉字一律采用小四号宋体字，行距用单倍行距，打印时应尽量避免彩色打印。
? 提请大家注意：摘要应该是一份简明扼要的详细摘要（包括关键词），在整篇论文评阅中占有重要权重，请认真书写（注意篇幅不能超过一页，且无需译成英文）。
? 引用别人的成果或其他公开的资料(包括网上查到的资料) 必须按照规定的参考文献的表述方式在正文引用处和参考文献中均明确列出。正文引用处用方括号标示参考文献的编号，如[1][3]等；引用书籍还必须指出页码。参考文献按正文中的引用次序列出，其中书籍的表述方式为： [编号] 作者，书名，出版地：出版社，出版年。 参考文献中期刊杂志论文的表述方式为：
[编号] 作者，论文名，杂志名，卷期号：起止页码，出版年。 参考文献中网上资源的表述方式为：
[编号] 作者，资源标题，网址，访问时间（年月日）。
? 从承诺书开始到论文正文结束前，不得有本规范外的其他要求（否则一律无效）。
? 本规范的解释权属于全国大学生数学建模竞赛组委会。
全国大学生数学建模竞赛组委会
2012年3月16日修订
承 诺 书
我们仔细阅读了中国大学生数学建模竞赛的竞赛规则.
我们完全明白，在竞赛开始后参赛队员不能以任何方式（包括电话、电子邮件、网上咨询等）与队外的任何人（包括指导教师）研究、讨论与赛题有关的问题。
我们知道，抄袭别人的成果是违反竞赛规则的, 如果引用别人的成果或其他公开的资料（包括网上查到的资料），必须按照规定的参考文献的表述方式在正文引用处和参考文献中明确列出。
我们郑重承诺，严格遵守竞赛规则，以保证竞赛的公正、公平性。如有违反竞赛规则的行为，我们将受到严肃处理。
我们参赛选择的题号是（从A/B/C/D中选择一项填写）： 我们的参赛报名号为（如果赛区设置报名号的话）： 所属学校（请填写完整的全名）： 参赛队员 (打印并签名) ：1. 指导教师或指导教师组负责人 (打印并签名)：
日期： 年 月 日
赛区评阅编号（由赛区组委会评阅前进行编号）：
编 号 专 用 页
赛区评阅编号（由赛区组委会评阅前进行编号）：
全国统一编号（由赛区组委会送交全国前编号）：
全国评阅编号（由全国组委会评阅前进行编号）：
注：
竞赛时间：9月7日（周五）8时至9月10日（周一）8时举行。
论文制作：要求提交纸质版和电子版论文（纸质、电子都包括附录、所有计算机程序），电子版制作目录或文件名采用“报名编号”。
为了保证发表的优秀论文的质量，全国组委会将对候选优秀论文进行网上公示，在论文公示结束后再决定是否发表，并评选出获高教社杯和Matlab创新奖的论文。
全国大学生数学建模竞赛网址：
论文写作规范
（一般论文内容的撰写规范，非硬性要求）
? 论文题目：
以简明、确切的词语反映文章中最重要的特定内容，避免使用非公知公认的缩写词、字符、代号。一般不宜超过20个字。
? 摘要：
1. 含模型的主要特点、建模方法和主要结果。
2. 应是一篇完整的短文，具有独立性和自含性。一般不分段，不用图表。
3. 采用第三人称表述，文字尽可能简练，竞赛论文可适当多些（大半页）。
? 引言：
1. 引言的内容可包含研究的目的、意义、主要方法、范围和背景等。应开门见山，言简意赅，不要与摘要雷同。
2. 引言的序号可以不编，也可编为“0”。“引言”二字可略。
? 正文：
是论文的核心，可分若干层次。
层次标题一律用阿拉伯数字连续编号。如：“1”，“2.1”，“3.2.1”等。
量的符号一般为单个拉丁或希腊字母并一律采用斜体，可在量符号的右侧标上、下标识（可用Mathtype等软件编写）。
? 图：
1. 要精选，具有自明性，切忌与文字重复。
2. 布局要合理，一般随文编排，先见文字后见图。
3. 图应有连续数字编号和居中排于图下方的简明的图题。
? 表：
1. 表要精心设计，具有自明性。
2. 一般随文编排，先见文字后见表。
篇二：数模美赛论文模板
内容格式：
Abstract
Introduction
Assumptions
Analysis of the problem
Task 1 : predicting survivorship
Task2 : achieving stability
….
Sensitivity analysis
Strengths
Weaknesses
Conclusion
References
Title(use Arial 14)
First author ,second author , the other (use Arial 14)
Full address of first author . Including country and mail(use Arial 11)
Full address of second author . Including country and mail
List all distinct addresses in the same way
Keywords(use Arial 11)
Abstract
1985:
模型概述-考虑因素-使用理由
We modelled…. Since…–we used ….We included…which were to be chosen in order to…
假设条件-数据处理方法
We assumed that…We used actual data to estimate realistic ranges on the parameters in the model.
评估标准-衡量方法-得到结论-结论的可靠性
We defined…We then used…we found…We examined the results for different values of the mortality parameters and found them to be the same .Therefore ,oursolution appears to be stable with respect to environmental conditions.
2000:
背景设置-模型引入
…in order to determine …, we deve(本文来自：wwW.xIaocAofanwEn.coM 小草 范文 网:美赛数模论文格式)lop models using…
解决问题-模型解决（层次排比）
For the solution of …, we develop… model based … to … .For the solution of … , we employ…What is more , a self-adaptive traffic light is employed to … according to …
模型检验-模型修正
By comparison of … simulation results , the models are evaluated . …is formulated to judge which solution is effective .
2002:
The task is to … we begin by constructing a model of … base on … Using this model we can … Using… , we model … through … and obtain … we compare the performance of our model in … simulations show that …
2001:
We examine the … . Such evacuations been required due to … .in order to … , we begin with an analysis of … . For a more realisticestimate , including the effects of … , we formulate models of … . The model we construct is based on … .This model leads to a … and it further show that … what’more , it agrees with …
2004:
（修正递进式模型摘要模板）
The purpose of this paper is to propose … . We propose that … . To build a solid foundation , we define and test a simple model for … . We then develop …system , but we find it would be far from optimal in practice . We then propose that the best model is one that adapts to … . We implement … . We simulate the … with … and we find this system quickly converges to a nearly optimal solution subject to our constraints . It is , however , sensitive to some parameters . We discuss the effects of these findings on the expected effectiveness of the system in a real environment . We conclude that … is a good solution .
问题分析句式：
…is a real-life common phenomenon with many complexities .
For a better view of … , we …
To give a clear expression, we will introduce the method presented by …
模型引入句式：
In this paper , we present … model to simulate efficient methods for …
We also apply … methods to solve …
We address the problem of …. through….
We formulate the problem as …
We formulate a … model to account for …
Base on … , we establish a model ….
We build a model to determine …
We modify the model to reflect …
To provide a more complete account for … , ... model has been employed . In this paper , in order to … , we design a … model based on …
We propose a solution that …
We have come up with an… for … and
Strong evidence of ... , and powerful models have been created to estimate ...
模型推进：
…will scale up to an effective model for …
模型求解：
We employ … , one based on … and the other … , whose results agree closely. To combat this , we impose …
结合数据：
Using data from … , we determine …
To ground this model in reality , we incorporate extensive demographic data …. We use data assembled by …
Using a wide scale regression , we found that …
We extrapolate from longevity data and explore the long-term behavior of … The base we developed was based off real-life data that gathered by …
We estimate these characteristic numbers for a representative sample of … We fit the modified model to data , we conclude that …
By statistical processing to results of …
By analyzing the … on the basis of historic data in the same way mentioned in …
结果给出句式：
Results of this computation are presented , and ….
We elicit that a conclusion …
We conclude with a series of recommendations for …
Given a … deviation in the value of the parameter , we calculate the percentage change in the value that the system converges to …
As we can find out , in the situation of …. , …. is subject to the logistic regression .
We conclude through analyzing that ….
it is apparent that …
Through comparing the … , we conclude that …
According to the laws of … , we draw a conclusion of …
From the formula , we know that …
Thus we arrive at the conclusion :
We elicit that a conclusion …
As a consequence , we can get …
模型可行性：
Our suggested solution , which is easy to….
Since our model is based on … it can be applied to …
Importantly , we use some practical data to test our model and analysis its stability , we simulate this model and receive a well effect .
Therefore , we trust this model as an accurate testing ground for …
Our algorithm is broad enough to accommodate various …
定理可靠说明：
That is the theoretical basis for … in many application areas .
模型简化
With further simplification, utilizing … we can reach …
承上启下：
In addition to the model , we also discuss …
Because the movement of … operates by the same laws and equations as the movement of … , we can ….
Based on the above discussion, considering …., let’s …
误差句式：
…does not deviate more than … from the target value .
Theoretically , error due to … should not play a tremendous role under our model .
Up to this point , we have made many approximations , not all of which are justified theoretically , but the results of algorithm are quite reasonable .
This is a na?ve approach which may mot ensure the …. , however if we … , the error is negligible .
Context:
方程给出：
We derive the equation expressing the … as a function of… we have
A simple formula determined by the … is given by the equation :
…can be written as the following system of equations :
In particular , the … is defined in terms of … ,
It is convenient to rewrite equations into the vector form:
The expression of … can be expanded as …
Equation (1) is reduced to ..
Substitute the values into equation (1) ,we get …
So its expression can be derived from equation (1) with small changes .
Our results are summarized in the formula for …
Plugging (1) into the equation for (2) , we obtain …
Therefore , from (1)(2)(3) , we have the junction that …
We use the following initial conditions to determine …
When computing , we suppose … ,so this suppose doesn’t … ,then by … , we can get : According to equation (1)(2) , we can eliminate … ,then we can acquire :
By connecting equation (6)(7) , we get the conclusion that …
Then we can acquire … through the following equation :
Its solution is the following …, in which … is …
客观条件引入：
A commonly accepted fact is that …
A lot of research has been done to explain and find …
In our model , we prefer to follow the conclusion used by …
Here , we cite the model constructed by …
There is one paper from … ,which concluded that …
We get performance of … by citing the experimental results of …
Here, we will introduce some terms used to address the problem, and we …
方法给出句式：
We construct … intelligent algorithms , a conservative approach , and an enthusiastic system to ..
We formulate a simplified differential equation governing …
This equation will be based on …
The above considerations lead us to formulate the … as
Given this , it is easy to determine …
To analyze the accuracy of our model , and determine a reasonable value for… We will evaluate the performance of our … by …
We tabulate the … as a function of …
Analysis for the … can be carried out exactly in the same fashion as …
The main goal in attempting to model … is to determine … and … should be considered .
The first requirement that the model reproduce is to determine if the model is reasonable .
We begin our analysis of the phenomenon of congestion with the question of … In modeling this behavior , we begin with …
In laying down the mathematics of this model , we begin with …
When … is not taken into account ,it is …
We give the criterion that …
We fix A and examine the change of B with respect to C
Attention has been draw to determine …
To reveal the trend of … in a long horizon
To deal with the problem, we need figure out …
篇三：数学建模美赛论文摘要的写法
Abstract
第一段：写论文解决什么问题
1． 问题的重述
a. 介绍重点词开头：
例1：“Hand move” irrigation, a cheap but labor-intensive small farms, a movable pipe with sprinkler on top that can be attached to a stationary main.
例2:……is a real-life common phenomenon with many complexities.
例3：An (effective plan) is crucial to………
b. 直接指出问题：
例 1： number of tollbooths in a highway toll-plaza for a given
number of highway lanes: the number of tollbooths that minimizes average delay
experienced by cars.
例2：A brand-new university needs to balance the cost of information technology
security measures with the potential cost of attacks on its systems.
例3：sprinklers to the energy and
motion of water in the pipe the engineering parameters of sprinklers
available in the market.
例4: After mathematically analyzing the …… problem, our modeling group
would like to present our conclusions, strategies, (and recommendations )to the …….
例5：Our goal is... that (minimizes the time )……….
2． 解决这个问题的伟大意义
反面说明。如果没有……
implementing defensive measure, the university is exposed to an expected of $8.9 million per year.
3． 总的解决概述
a．通过什么方法解决什么问题
例： amusement park enjoyment through distributing Quick Passes (QP), reservation slips that ideally allow an individual to spend less time waiting in line.
b．实际问题转化为数学模型
例1 a network flow vertices are the locations
of escorts and wheelchair passengers.
例2 : A na?ve strategy would be to employ the minimum number of escorts to
guarantee that all passengers reach their gates on time.
c.将问题分阶段考虑
例3： the jump three : flying through the air, punching through
the stack, and landing on the ground.
第二、三段：具体分析
1．在什么模型中/ 建立了什么模型
a. 主流模型
例1：We formulate a differential model to account for the rates of change of these uses, and this change the overall consumption of water within the studied region.
例2:We examined the mathematical effects of……. We developed a detailed …… (simulation methodology) to test our ideas and to quantify the differences between (among) different …… (strategies).
例3：Based on (write your basis .such as the theory of supply and demand), we establish a model (such as differential equation system that includes demand, supply).
例4：To (write the aims), we establish a criterion (write the criterion).
b. 模型非主流
例5：We build a model to determine how to lay out the pipe each time the equipment is moved.
例6：We determine …………
例7：We build a model to determine……….
例8：We formulate a model for………By analyzing …and examining…..
2．分析模型（使用什么数据，怎么做，一般三句话）
a. 写历史数据
例1：Using historical data from the United States, we determine initial conditions for our model.
b. 写计算机模拟
例1：this model leads to a computer simulation of catch-can tests of the irrigation system and ……
例2:Software packing reaches………by calculating and comparing………..
c. 运用数据模拟
例1：to ground this model in reality, we incorporate extensive demographic data and run……
例2：We fit the modified model to data (such as 1970-2003.). We conclude that (write the last conclude).
d. 讲详细分析
例1：We physically characterize the system that…
例2：We provide a strategy (write the logical strategy).
例3：The …model is (efficient, intuitive, and flexible) and could be applied to… 例4：To meet the needs of people today without, we establish a criterion of rational(合理的标准) oil allocation(分配).
3．总结该模型的结果/得到什么结论
a. 说明不是最优但能产生作用
例：We show that this strategy is not optimal but can be improved by assigning different numbers……
b. 说明如果用这个模型，结果如何
例1：If Delta Airlines were to utilize the na?ve strategy at Atlanta International Airport, the cost would be ……
例2：We modify the model to reflect (some trend such as exponentially increasing……) and generalize the model to (other field).
例3：Our results are summarized in the formula for the optimal number Bof tollbooths for
c．通过其上情况的列举得到的结论
例：For various situations, we propose an optimal solution.
d. 得出了结论
例1：we elicit that a conclusion.
例2：We conclude with a series of recommendations for how best to…
e.进一步说明其他因素对模型的影响
例：In addition to the model, we also discuss policies for …..
f.用真实数据检验模型
例:To demonstrate how our model works, we apply it to ………..
最后一段：写总的结论
a. 说明结论的可行性
例：Our suggested solution, which is easy to implement, includes a detailed timetable and the arrangement of pipes.
b.说明算法的广泛性
例1：Our algorithm is broad enough to accommodate various airport concourses, flight schedules, and flight delays.
例2：Our analysis began by determining what factor impact……, Our conclusions are presented……
c.说明模型可用于其他领域
例：Since our model is based on…… it can be applied to (other domain).
其他（承上启下的连接词/常用词组）
例:In addition to the model, we also discuss……
引言部分
（1）回顾研究背景，常用词汇有review, summarize, present, outline, describe等
（2）说明写作目的，常用词汇有purpose, attempt, aim等，另外还可以用动词不定式充当目的状语来表达
（3）介绍论文的重点内容或研究范围，常用词汇有study, present, include, focus, emphasize, emphasis, attention等
方法部分
（1）介绍研究或试验过程，常用词汇有test study, investigate, examine, experiment, discuss, consider, analyze, analysis等
（2）说明研究或试验方法，常用词汇有measure, estimate, calculate等
（3）介绍应用、用途，常用词汇有等
结果部分
（1）展示研究结果，常用词汇有show, result, present等
（2）介绍结论，常用词汇有summary, introduce, conclude等
讨论部分
（1）陈述论文的论点和作者的观点，常用词汇有suggest, repot, present, expect, describe等
（2）说明论证，常用词汇有等support, provide, indicate, identify, find,
demonstrate, confirm, clarify
（3）推荐和建议，常用词汇有suggest, suggestion, recommend, recommendation, propose, necessity, necessary, expect等。
摘要中常用的词语汇：
critical 至关重要的
algorithm 运算法则
a method of evaluating 评价方法
appropriate 近似的
consider 考虑
configurations 布局
optimal 统一的
maximize 使…最大化
strategy 策略
parameter 参数，主要的决定因素
accuracy 精确性
strengths and weaknesses 优点和缺点
contact 相关的
contract 建立，构造
calculate 计算
establish 建立
formula 公式
modify 改进
rational 合理的
countermeasure 对策
criterion 标准，准则