美国大学生数学建模竞赛MCM写作模板

1、 在表前对表的来源和数据进行说明

The table below is the generated irrigation schedule for the repositioning of the sprinklers, given 12-hour work day for a rancher. Each pipe is set in place for 5 hours.

2、在表后对表的内容进行说明

Table 9 shows linear fit parameters for all three models. Note that all three models are well described by a linear equation.

Using the cellular automata model, we compute waiting time as a function of both the number of lanes and the number of tollbooths. For a fixed L, we compare all values of Ctotal and choose the lowest one. The results of this method are presented in Table6.

According to the above data, we can see that many of the European countries have the high rates of the donor, particularly in Spain. This phenomenon shows that the organ transplant is also hot in Europe. Although the relevant policies and statutes in these countries are less comprehensive than that in U.S, there still a lot what U.S could learn from. Here, we mainly analyze the organ transplant policies in Spain, U.K and Korea this three countries.

……The population contained in each region is summarized in table 1.（在表后对数 据的内容进行总结） 例4

3、表前表后有引入引出 ，且中间对两表之间进行比较

We can obtain the data which is involved with the status of the American Organ Transplant from the data banks. We have collected the demand of the various organs in United States to date, the annual donors，transplants and the demand (Here taking the kidney for example, by years 1995-2006)

From the above table1, we can see that the kidney accounts for 73% in the total of the organ transplants. It accounts for a very large proportion as a most important organ which can be transplanted. Therefore, we only need to discuss the status of the kidney transplant here, being able to achieve the analysis and research on the organ transplant.

According to the above data, we can get the figures as follow: 例2 So after many times simulation under the conditions discussed above, we obtain statistic results as follow:

Table 7 reports the general patient statistics under each regime in the columns. The first column in these tables reports the total live donor transplants as percentage of the population size, which is the sum of next two columns, transplants from own compatible donor and transplants from trades. The forth column is the percentage of patients upgraded to the top of the waitlist as heads of w-chains. The fifth and sixth columns report the quality of matches in the live donor transplants: the risk of graft failure relative to the risk under no-exchange mechanism with population size n=400 is reported in the fifth column and the number of HLA mismatches for an average transplant is reported in the sixth column. In the table 8, we change the n into 200. 表与表之间的比较

By comparison, we can found that the matching proportion become little and the matching quality will get worse as the total number of the patients decrease. The result is consistent with the reality. The 30% probability of the waiting list or low quality exchange is an adjustable parameter. 例4

Also, we wish to explore the situation in which there is one lane per booth:

The parameters we choose to modify are p (probability of advancement), ‘delay’ (number of time steps required to serve a vehicle in a tollbooth), and q (the probability that a flagged vehicle opts to attempt a turn). The results of this analysis are presented in Table 7. Since we have used six lanes as our standard test case, we continue with this choice here.

As indicated in Table 7, our cellular automata model is relatively insensitive to both p and q. Changes of ±11% and ±5.2% in p and q, respectively, had no effect on the optimal number

of tollbooths for a six lane highway. On the other hand, increasing the delay time by 25% shifted the optimal number of booths from 10 to 11 (10%). Decreasing the delay by 25% had no effect on the solution. Perhaps additional work could lead to an elucidation of the relation between delay and optimal booth number that could help stabilize the cellular automata model.

algorithm, we get corresponding skeleton shown in Figure 3b. Then we apply the GA-based shot placement algorithm, resulting in three shots for the target: one 14 mm helmet and two 8 mm helmets. The locations and sizes of the helmets in 2D are indicated in Figure 3c, while 3D shot placements are shown in Figure 4. (2003—130) 6、画示意图： The irrigation order and position of sprinklers are presented in Figure 4. (2006—127) This algorithm can be viewed in the flowchart in Figure 3.We define some of the objects found in the chart. (2006—164\165)

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