The templates of the paper

Summary Sheet

The main points that should be showed are follows:

  1. start a restatement of the problem.

  2. the importance if the problem is solved.

  3. what models or methods are put forward to solve the problem.

  4. illustrate the model further.

  5. analyze the model with data. (what ? how ? )

  6. give a conclusion of the model.

  7. draw a final and whole conclusion of the model.

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The restatement of the problem

  1. Our goal is… that (minimizes the time )
  2. We determine the … by analyzing…
  3. After mathematically analyzing the ……problem, our modeling group would like to present our conclusions, strategies,(and recommendations )to the …….
  4. Aimed to look for the best strategy with the three options listed to maintain the dam, we employ … model to filter factors and determine two most influential criteria, including….

The importance if the problem is solved

  1. Without implementing defensive measure, the university is exposed to an expected loss of $8.9 million per year.
  2. The Institute of Risk Management of South Africa has just warned that the Kariba dam is in desperate need of rehabilitation, otherwise the whole dam would collapse, putting 3.5 million people at risk.

The models put forward to solve the problem

  1. According to our choice, we are required to offer….
  2. Regarding it as a set covering problem, we develop a …. model to minimize the number of smaller
    while …
  3. Applying … evaluation method to get the demand of the electricity and water, we solve this problem with ….. algorithm and get an approximate optimal solution with ….
  4. We address the problem of optimizing ….
  5. We formulate the problem as …..
  6. We divide the jump into three phases: 1…. 2….. 3…
  7. To address this situation, our paper provides a detailed analysis of one option

Illustrate the model further

  1. We build a model to determine how to ….
  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).

Analyze the model with data

  1. Using historical data from the United States, we determine initial conditions for our model.
  2. this model leads to a computer simulation of catch-can tests of the irrigation system and ……
  3. We provide a strategy that…
  4. Finally, these statistics could help us simulate….

Give a conclusion of the model

  1. We show that this strategy is not optimal but can be improved by assigning different
    numbers……
  2. We modify the model to reflect (some trend such as exponentially increasing……) and
    generalize the model to (other field).
  3. For various situations, we propose an optimal solution.
  4. The sensitivity analysis of our model has pointed out that ….

Draw a final and whole conclusion of the model

  1. Our suggested solution, which is easy to implement, includes a detailed timetable and the arrangement of pipes.
  2. Since our model is based on…… it can be applied to (other domain).
  3. Our analysis began by determining what factor impact……, Our conclusions are presented……

Introduction

  • A simple background.

Restatement and Our Work

  1. We are required to provide an overview of …
  2. Then we need to establish a model to determine ….
  3. In addition, we should consider …. so that we could give out …
  4. In order to solve those problems, we will proceed as follows:
  5. In our model, we first establish a ….. model and use ….. algorithm to determine ….
  6. Besides, we add some constraints ….
  7. We employ the genetic algorithm to solve the optimal problem to ….

  • Literature Review

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Assumptions and Justifications

Starting:

To simplify our problems, we make the following basic assumptions, each of which is properly
justified.

Reason:

  • Because it’s more convenient to build and also with less cost, which can be easily implemented.
  • Owing to the fact that ….
  • Taking into account of ….
  • According to …

Notation

In this paper we use the nomenclature in Table.1 to descibe our model. Other symbols
that are used only once will be described later.

The Design of the Models

Model Overview

Our first model allows us to determine…

On the account that the optimal problem is difficult to solve in polynomial time, so we use genetic algorithm to get the solution…

After determining the numbers and the location, we establish a joint operation of dam system
model to gain a strategy about modulating water flow in different condition…

In conclusion, we use programming and heuristic algorithm to solve the problem ….

Establishment of the Model

If it is a multi-objective model, then:

The objectives

      1. ​

The Constraints

Model Implementation and Results

Sensitivity Analysis

  • Change condition1

Analysis …..

Result …..

Strengths and Weaknesses

Strengths

  1. Our main model’s strength is its enormous edibility. For instance,……..Including all these factors into a single, robust framework, our model enables
  2. We developed a theoretical line formation model which agrees without rough data. Our computer model agrees with both despite working on different principles, implying it behaves as we want.
  3. This allows us to make substantive conclusions about
  4. Finally, our model is strong because of
  5. The Monte Carlo simulation has been perfectly used in our models, and the simulation results are consistent with the reality.
  6. We introduced …… in order to improve the exchange quality. The chain rules can also modified in a degree.
  7. The models used in our paper is promotional, in view of different consideration,
  8. we can modify our models conveniently.
  9. the model is independent of the site simulated( )…

Weaknesses

  1. Some special data can’t be found, and it makes that we have to do some proper assumption before the solution of our models. A more abundant data resource can guarantee a better result in our models. Current line length is not taken into account by the line formation model. In real life……

  2. Weaknesses of the model included assumptions made for simplicity that likely do not hold. For instance, in most runs of our model on(sides……), cases(impact/conclusion) to…… This feature is likely a result of our assumption that/The primary weakness of this model is the( ), It should be possible to eliminate this, another weakness that could be corrected with more analysis is ( )`

  3. The primary weakness of this model is the…

    Another weakness that could be corrected with more analysis is…

  4. Parameters have to be derived from physical occurrences.

  5. The other primary weakness of our model is our lack of metrics forcomparison.

  6. Although we list the model’s comprehensive, discrete simulation asa strength, it is

  7. (Paradoxically) also the most notable weakness. Our results lack clear….Second ,our model demands great attention to….While its general structure and methodology are valid, the specific figures embedded in its code are not airtight.

  8. Although we list the model’s comprehensive, …… as a strength, it is (paradoxically) also the most notable weakness. Our results lack clear illustrative power; data manipulated through a computer program cannot achieve the same effect as ……

  9. Indeed, there is a fundamental trade off here between realism and elegance, and our model arguably veers toward over realism.

Conclusion

  1. Through the establishment of three models, we evaluate the three plans respectively.

  2. Through the AHP analysis, we draw the conclusion that option three is a relatively good solution.

  3. we establish a multi-objective optimization model to determine

  4. We also use genetic algorithm to solve the problem and find that….

  5. We already know how well our results worked for……

  6. We next developed a detailed simulation engine to perform simulations. Our simulations
    allowed us to ……

  7. We also wish to tie our exploration of sensitive……

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