"Call the police when you are in trouble" is a well-known buzzword. The police shoulder four functions: criminal law enforcement, public security management, traffic management and serving the masses. In order to realize these functions more effectively, it is necessary to set up traffic patrol service platforms in some traffic arteries and important parts of the city. The functions and police force of each traffic patrol service platform are basically the same. Due to the limited police resources, how to reasonably set up the traffic patrol service platform, allocate the jurisdiction of each platform and dispatch police resources according to the actual situation and needs of the city is a realistic topic faced by the public security department.

Try to establish a traffic patrol service platform in a city, and establish a mathematical model to analyze and study the following problems:

(1) The attached figure 1 in annex 1 gives a schematic diagram of the traffic network in downtown A and the existing 20 traffic patrol service platforms. See Annex 2 for relevant data and information. Please assign jurisdiction to each traffic patrol service platform, so that a traffic patrol (with a police car speed of 60km/h) can arrive at the incident site within 3 minutes as far as possible when an emergency occurs within the jurisdiction.

For major emergencies, it is necessary to dispatch the police resources of 20 traffic patrol service platforms in the whole region to achieve a rapid and comprehensive blockade of the access area 13 traffic arteries. In fact, the police force on a platform blocks at most one intersection. Please give a reasonable scheduling scheme for the police force of the traffic patrol service platform in this area.

In view of the unbalanced workload of the existing traffic patrol service platform and the long police time in some places, it is planned to add 2 to 5 more platforms in this regard. Please confirm the specific number and location of platforms to be added.

(2) According to the specific situation of the whole city (six districts of A, B, C, D, E and F in the main city), according to the principles and tasks of setting up the traffic patrol service platform, analyze and study the rationality of the existing traffic patrol service platform in this city (see Annex). If it is obviously unreasonable, please give a solution.

If a major criminal case occurs in the city's location P (node P(32), an alarm is received 3 minutes after the incident, and the suspect has fled by car. In order to quickly search for suspects, please give the best containment scheme for dispatching police resources on the municipal traffic patrol service platform.