Thank you very much for the ideas of the 2013 National College Student Mathematical Contest in Model

012 The 5th Central China Mathematical Modeling Invitational Competition: Question A: Energy consumption and cost of different types of automobiles.

Traditional automobiles use gasoline as the power raw material and use fuel engines to drive the car. An electric vehicle is a vehicle that is powered by an on-board power supply (battery) and uses an electric motor to drive the wheels. Hybrid electric vehicle (HEV) hybrid refers to the use of gasoline drive and electric drive of the car, with fuel saving and emission reduction as its main advantages.

Combined with the current gasoline ** and electric energy (vehicle battery)**, the energy consumption and cost (production cost and use cost) of these three types of vehicles are analyzed and compared, and the corresponding mathematical model is tried to be established, and the following problems are solved according to the relevant data:

1. From the perspective of energy consumption, analyze and compare which of these three types of vehicles has the best energy-saving effect;

2. From the perspective of use cost, establish corresponding cost models for the three types of vehicles;

3. Please select three types of cars to compare and analyze their use costs;

4 The impact of changes in gasoline on the market share of the three types of vehicles.

Question B Elevator problem.

An office building has 11 floors The offices are arranged on the 7th, 8th, 9th, 10th, 11th floors Suppose the office staff all take the elevator upstairs, and there are 60 people working on each floor The existing three elevators A, B, and C are available, and the running time of the elevator between each floor is 3 seconds, and the dwell time of the lowest floor (one floor) is 20 seconds, and if the other floors stay, the dwell time is 10 seconds The maximum capacity of each elevator is 10 people, and the elevator only stops on the 7th, 8th, 9th, 10th, and 11th floors before going to work For the sake of simplicity, Assuming that the office staff has arrived at the first floor before 8:00 in the morning, it can ensure that each elevator can reach the maximum capacity of the elevator within the waiting time (20 seconds) on the ground floor The elevator can complete the entry and exit of the elevator within the corresponding stay time on each floor When no one uses the elevator, the elevator should be on standby on the ground floor Excuse me:

1 How long does it take to get all these people to the corresponding office floors?

2 How to dispatch the elevator so that the total time required for office staff to reach the corresponding floor is as small as possible?

Please give a specific and practical elevator operation plan

2012 Higher Education Society Cup National College Students Mathematical Contest in Modeling.

Please read the "National Collegiate Mathematical Contest in Modeling** Format Specification") Question A Evaluation of Wine.

The quality of a wine is usually determined by hiring a team of qualified wine evaluators. Each evaluator scores the classification of the wine after tasting it, and then sums it to get its overall score, which determines the quality of the wine. The quality of wine grapes is directly related to the quality of the wine, and the physical and chemical indicators of wine and wine grape testing will reflect the quality of wine and grapes to a certain extent.

Annex 1 gives the results of the evaluation of some wines from a given vintage, and Annex 2 and Annex 3 give the composition data of these wines and wine grapes from that vintage, respectively. Try building a mathematical model to discuss the following questions:

1.Analyze whether there is a significant difference between the evaluation results of the two groups of wine evaluators in Annex 1, and which group of results is more credible?

2.These grapes are graded according to their physicochemical indicators and the quality of the wine.

3.Analyze the relationship between the physicochemical indicators of wine grapes and wine.

4. Analyze the influence of the physicochemical indexes of wine grapes and wine on the quality of wine, and demonstrate whether the physicochemical indexes of grapes and wine can be used to evaluate the quality of wine?

Appendix 1: Wine Tasting Score Form (4 pcs**).

Annex 2: Physicochemical Indicators of Grapes and Wine (including 2**) Annex 3: Aromatic Substances of Grapes and Wine (including 4**).

Now that you have the idea data and the model, start writing! Pressed for time.

(This answer may violate the Know the norm, check it later).

It's going to be handed over on Monday, bless you.

Question 1 The index system for evaluating the impact of community opening on vehicle traffic should generally include the following three types of indicators: high efficiency, safety and robustness. How to reasonably select the evaluation index and how to measure the index value are the main points of this question.

Evaluation indicators can be defined in various ways, and their value can be judged according to their rationality and calculability.

Question 2: This question requires the establishment of a traffic flow model to study the impact of community opening on the surrounding road traffic, and the key factors to consider are traffic flow and flow distribution, vehicle driving rules, community opening rules, etc. In particular, it is necessary to pay attention to the special influencing factors of the opening of the community on road traffic, for example, the intersection formed by the community road and the main road generally has no traffic signal setting, the speed of the main road and the internal road of the community is different, and the vehicles inside the community enter and exit. Traffic models that do not take into account such special effects are of little value to this issue.

The third question is that according to the different impacts of the opening of the community on the traffic of the surrounding roads, the community should be discussed by type, and the main classification factors are the size of the community, the density of the residential population, the number of intersections in and out of the community, etc., in addition, the distribution of traffic flow on the surrounding roads will also affect the effect of the opening of the community. Attention should be paid to whether the calculation of this question is based on the model established by the second question, and whether the effect evaluation is carried out according to the index system of the first question.

Question 4: The main examining of this question is:1**Whether the rationalization suggestions come from the results of the model calculation; 2.Whether the rationalization proposal is substantial.