Parameter Design with Asymmetric Loss Function under Normal Assumption
Taguchi developed many loss functions. Among these functions, the quadratic function is the most widely applied one. However, using a quadratic loss function when the actual loss function is nonquadratic might be choosing the incorrect input parameter levels. In certain situations, the linear loss function is more appropriate in industrial applications. In this paper, Asymmetric linear loss function is put forward under normal assumption. Its proved that Taguchs methods still work in this situation. Under normal assumption adjustment parameter is defined, and its best value is calculated which minionizes the fotal quality loss. Steps of parameter design are given.
asymmetric quality loss function loss ratio adjustment parameter robust design nsitivity design
Lichunping Haohuibing
Department of Mathematics, Xiaogan University, Hubei Xiaogan 432100, China
国际会议
2008年国际应用统计学术研讨会(2008 International Institute of Applied Statistics Studies)
烟台
英文
1-4
2008-08-14(万方平台首次上网日期,不代表论文的发表时间)