Study on satellite communication transmission of meteorological information between main stations based on state transfer

Based on the information provided in Problem D of the 2022 National College Mathematical Modeling Contest, only considering the transmission and reception of meteorological message between the main stations, the success rate of sending and receiving is 100% , set half-time information as one unit, then each main station can transmit up to three units、150 characters (less than the limit of 158) at a time.Using the method of sequential transmission in turn, the first round and the last round are studied separately, the other rounds meet the maximum transmission of cases, the relationship between the minimum value of K and N is modeled, as shown in the formula (1) . As result, it takes at least 4.67(rounded up to 5) minutes to transmit 6 rounds, the information sharing between 9 master stations can be realized. Then, according to the state characteristics of each main station after each round of transmission,the state transfer equations between the main stations are established, such as formulas (8) and (9), and the scheme of meteorological message transmission for each round of main station 1 is obtained.