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Mathematical modeling of mom cup a
This transportation problem can be regarded as an optimization problem. The focus of this problem lies in the selection of the objective and the establishment of the objective function, but the solution of the optimal value is not the focus of the problem (because where traffic accidents will occur, duration, traffic flow and so on are uncontrollable parameters, and there are almost no decision variables in this problem). The knowledge that can be used includes queuing theory, cellular automata, simulation, etc., and the functional relationship is established by these means;

Key concepts: capacity refers to the maximum number of vehicles passing through a road section in a unit time, TC (capacity) =n/t=vd(n is the number of vehicles passing through, t is the time, v is the average speed of vehicles, and d is the road width);

Question 1: Find the function expression TC=f(t). According to the information in the video, the corresponding TC value can be found occasionally, and then the solution F can be obtained by interpolation, or the change mechanism of the vehicle at the time of the accident can be deeply studied to solve F, and finally the result can be expressed by images or analytical expressions.

Question 2: Find the universal function expression TC=g(LN), where LN represents the number of lanes or their combination, where TC represents the function of f in question 1. This process is the same as the problem 1, and the available method can also be read directly from the video to get the function of TC about t when LN=( 1, 2) or (2, 3). If the mechanism analysis method is adopted, there are two forms of comparison:

Intuitive comparison: draw several function images together and compare them with each other, so as to compare the influence of different LN on traffic capacity;

Quantitative comparison: the function of TC about t in different LNs is integrated after difference, and the influence of different traffic jams on the total number of vehicles is obtained;

The third question. . . I can't say. . .

Question 4: The result can be calculated by using the function expression obtained in question 3.