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时间:2017-08-11 数学毕业论文 我要投稿

摘  要

Lottery Reasonable Evaluation
Author:  MA Yong-ren
(College of Mathematical Sciences and Computing Technology,
Hunan University of Science and Technology, Xiangtan 411201, China)
Tutor:  MO Shang-feng
    In this paper, an evaluation criterion for playing all types of lottery programs reasonable question. And the rules of the game involving a variety of factors, such as different grades awards winners rate awards Award amount and the setting up of 100730 attractive. Then design a better program and the corresponding algorithm. First, according to the actual situation of our various lottery from the overall classification, the use of all probability formula gradually when catching nature of the problem. reached a winning lottery specific probability; Based on this result, the mathematical model from concept to be inspired expectations, Bonus expectations for solutions to establish hierarchical structure model. Qualitative indicators through more layers of the elements to establish the relative importance of the target layer judgment matrix, come to the various indicators of the weight of the evaluation criteria thoroughly apparent from the abstract into concrete form and rigorous quantitative form, enable accurate visual comparison of the pros and cons of each possible.
    Secondly, the use of game theory model will prove the existence of a Nash equilibrium, that is to maximize the interests of both the distribution program. On this basis, we then established a principal component analysis model for the Nash equilibrium, sample space dimensionality reduction of 3-D, greatly simplifying the complexity of the issue, the search algorithm, simple to draw a conclusion about the issue. 2 model results are close, shows the model is reasonable and stability. Management departments to rationalize the proposals.
    Keywords: AHP; Principal component analysis; Game theory; Stepwise refinement

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