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《Journal of Fuzhou University(Natural Sciences Edtion)》 2004-03
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Nonlinear programming model of best sale rule of lottery

WANG Hong-jian~1, FANG Guo-xin~2(1. College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China; 2. College of Information, Beijing Foreign Economy and Trade University, Beijing 100029, China)  
Analyses the case for the lottery market in our country, considers that there are various "best" sale rules because of various economy conditions, various consume levels and various psychological quality for various zones. Both the proportion of the people who win prizes and the expectation of the high-prize as targets, might interest people, therefore increases the number of sales of lottery, and are good for lottery company and people. Therefore, introduces two nonnegative factors of weight λ_1 and λ_2, converts the rationality of the problem into maximum of target function f=λ_1p+λ_2∑3j=1x_jp_j subject to some conditions, looking for best sale rule. The model can be given solution by MATLAB, and proved stable, rational and simple by various datas.
【Fund】: 福建省教育厅科研资助项目(JB01025)
【CateGory Index】: O221.2
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