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Based on best lineup of LINGO optimization model of the gymnastics team research

Yu Peng, Guoqing Zhang

The women's gymnastics team by the uneven bars, the balance beam, the vaulting horse and the floor exercise four. In the actual competition, the athlete's strength size, inevitably determines the performance of team scores, but a good lineup also have very important influence to the result of the match. Team problem in this paper, the women's gymnastics team competition carried on the thorough discussion, first of all, according to the known conditions are the most pessimistic situation of each player's score, to establish the objective function makes the total score as high as possible and get constraint conditions in combination with the athletes in the history of the rules, established by using integer programming model, the model is solved using the software, get pessimistic model best lineup;finally applies probability statistical theory and normal distribution knowledge to further deepen problem, by calculating, it gets variance Dij and expectation Ci.j, and inputs them into standard normal programming functions so that can get objective functions, applies lingo software to solve best starting line-up.