易拉罐尺寸设计的优化模型

Optimal model for ring-pull can size design

建立了易拉罐尺寸设计的优化模型,得到了正圆柱形罐尺寸设计的最优解和上部为正圆台下部为正圆柱形罐以及CCB-1A型罐尺寸设计的次优解。作为例证,检验了椰树牌椰奶245ml罐尺寸设计的最优性和王老吉凉茶310ml罐及可口可乐汽水355ml罐尺寸设计的次优性,从而回答了2006年全国大学生数学建模竞赛C题所提出的问题。

Using developed optimal model for Ring-Pull Can size design, the optimal solution of cylindric can size design and the suboptimal solution of frustum of a cone on cylinder as well as CCB-1A can size design are botained. Furthermore, the Ye Shu coconut milk 245ml can size design optimality and the Wang Laoji cool tea 310ml can as well as the Coca-Cola soft drink 355ml can size design suboptimality are examined. And this gives a solutio to the problem proposed in the 2006 national university student mathematics modelling competition.