2021 Higher Education Club Cup mathematical modeling national tournament ABCD problem - problem solving ideas

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A topic “FAST” Shape adjustment of active reflector

China Tianyan ——500 Meter aperture spherical radio telescope （Five-hundred-meter Aperture Spherical radio
Telescope, abbreviation FAST）, It is the largest single caliber in the world with independent intellectual property rights in China 、 The most sensitive
Radio telescope .
Topic analysis

This type of question has appeared in Shenzhen Cup , Give you a new concept of practical application scenarios , Let you collect information , Then solve the specific problem , The Shenzhen cup is about the landing of the Mars spacecraft , But now it's replaced by a radio telescope .

This type of topic has some disadvantages ：

Advantage is ： They are all real projects , There are ready-made model solutions

The disadvantage is that ： It takes a short time to understand many new concepts , And quickly grasp the practical significance of each part of the existing model , Equivalent to an open book exam , But the topic is difficult .

You may need to use : Operations research , physics , analogue simulation 、 Astronomy 、 Relevant knowledge of signal processing .

See the end of the article for detailed ways to obtain ideas
B topic Ethanol coupling preparation C4 olefin

C4 Olefins are widely used in the production of chemical products and medicine , Ethanol is produced and prepared C4 Raw materials for olefins .
In the preparation process , Catalyst combination （ namely ：Co Load capacity 、Co/SiO2 and HAP Loading ratio 、 Ethanol concentration
The combination of ） With temperature C4 Selectivity and selectivity of olefins C4 Olefin yield will have an impact （ See Appendix for the explanation of terms ）.
Therefore, through the catalyst combination design , To explore the preparation of ethanol by catalytic coupling C4 The process conditions of olefins are very important
Important significance and value .
Topic analysis

Topics that can be classified as data mining and analysis , Machine learning algorithms are needed , Analyze the data , classification , And prediction , It is suggested that students majoring in computer science choose this question .

See the end of the article for detailed ways to obtain ideas
C topic Ordering and transportation of raw materials for manufacturing enterprises

The raw materials used by a manufacturer of building and decorative plates are mainly wood fiber and other vegetable fiber materials , The whole can be divided into A,B,C Three types of . The enterprise is based on 48 Arrange production every week , It needs to be formulated in advance 24 Weekly raw material ordering and transfer plan , That is to determine the raw material suppliers to be ordered according to the capacity requirements （ be called “ supplier ”） And the corresponding weekly order quantity of raw materials （ be called “ Order quantity ”）, Identify third party logistics companies （ be called “ Forwarder ”） And entrust the supplier to supply the quantity of raw materials every week （ be called “ Supply volume ”） Transfer to enterprise warehouse .
Topic analysis
C4 Olefins are widely used in the production of chemical products and medicine , Ethanol is produced and prepared C4 Raw materials for olefins .
In the preparation process , Catalyst combination （ namely ：Co Load capacity 、Co/SiO2 and HAP Loading ratio 、 Ethanol concentration
The combination of ） With temperature C4 Selectivity and selectivity of olefins C4 Olefin yield will have an impact （ See Appendix for the explanation of terms ）.
Therefore, through the catalyst combination design , To explore the preparation of ethanol by catalytic coupling C4 The process conditions of olefins are very important
Important significance and value .
Topic analysis

Topics that can be classified as data mining and analysis , Machine learning algorithms are needed , Analyze the data , classification , And prediction , It is suggested that students majoring in computer science choose this question .

See the end of the article for detailed ways to obtain ideas
C topic Ordering and transportation of raw materials for manufacturing enterprises

The raw materials used by a manufacturer of building and decorative plates are mainly wood fiber and other vegetable fiber materials , The whole can be divided into A,B,C Three types of . The enterprise is based on 48 Arrange production every week , It needs to be formulated in advance 24 Weekly raw material ordering and transfer plan , That is to determine the raw material suppliers to be ordered according to the capacity requirements （ be called “ supplier ”） And the corresponding weekly order quantity of raw materials （ be called “ Order quantity ”）, Identify third party logistics companies （ be called “ Forwarder ”） And entrust the supplier to supply the quantity of raw materials every week （ be called “ Supply volume ”） Transfer to enterprise warehouse .
Topic analysis

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