Research of Asymmetric Quality Loss Function with Triangular Distribution

被引：2
|
作者：
Jin Qiu [1 ]
Liu Shaogang [1 ]
机构：
[1] Tianjin Univ Sci & Technol, Sch Mech Engn, Tianjin, Peoples R China
来源：
ENGINEERING SOLUTIONS FOR MANUFACTURING PROCESSES, PTS 1-3 | 2013年 / 655-657卷
关键词：
Asymmetric quality loss function; Process mean; Triangular distribution;
D O I：
10.4028/www.scientific.net/AMR.655-657.2331
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The asymmetric quality loss functions with the triangular distribution for determining the optimum process mean are studied. The condition of using the linear and quadratic asymmetric quality loss function in the model is considered. The eight mathematical models under an asymmetric quality loss function with the triangular distribution based on the analysis of the linear and quadratic asymmetric quality loss function are presented. Finally, the validity of models is verified by the examples.
引用
收藏
页码：2331 / 2334
页数：4
相关论文
共 50 条
  • [21] The arithmetic of triangular Z-numbers with reduced calculation complexity using an extension of triangular distribution
    Li, Yangxue
    Herrera-Viedma, Enrique
    Perez, Ignacio Javier
    Xing, Wen
    Morente-Molinera, Juan Antonio
    INFORMATION SCIENCES, 2023, 647
  • [22] Predictive distributions in risk analysis and estimation for the triangular distribution
    Joo, Y
    Casella, G
    ENVIRONMETRICS, 2001, 12 (07) : 647 - 658
  • [23] Model of Vertical Product Differentiation Based on Triangular Distribution
    胡建兵
    汪和平
    沈运红
    Journal of Southwest Jiaotong University(English Edition), 2007, (02) : 148 - 153
  • [24] Optimal process mean setting with asymmetric quadratic quality loss and process adjustment cost based on exponential product characteristic
    Chen, Chung-Ho
    Chou, Chao-Yu
    JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS, 2020, 23 (04) : 809 - 816
  • [25] Determining the optimum process mean based on quadratic quality loss function and rectifying inspection plan
    Chen, Chung-Ho
    Lai, Min-Tsai
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 182 (02) : 755 - 763
  • [26] Establishment of quadratic exponential quality gain-loss function model and design of process mean
    Wang, Bo
    Li, Qikai
    Yang, Qi
    Chen, Zihan
    Nie, Xiangtian
    HELIYON, 2024, 10 (16)
  • [27] A reparametrization of Triangular Distribution based on the Skew-Symmetric Distributions
    Olivares-Pacheco, Juan F.
    Elal-Olivero, David
    Gomez, Hector W.
    Bolfarine, Heleno
    REVISTA COLOMBIANA DE ESTADISTICA, 2009, 32 (01): : 145 - 156
  • [28] Which is the appropriate triangular distribution to employ in the modified analytic hierarchy process?
    Cox, M. A. A.
    IMA JOURNAL OF MANAGEMENT MATHEMATICS, 2012, 23 (03) : 227 - 239
  • [29] SALAH-MOHAMMAD TRIANGULAR DISTRIBUTION CURVE IS AN ALTERNATIVE TO THE LAFFER CURVE
    Salimian, Salah
    Sobhanian, Mohammad Hadi
    JOURNAL OF DYNAMICS AND GAMES, 2024, 11 (03): : 218 - 231
  • [30] Moments of order statistics and L-moments for the symmetric triangular distribution
    Nagaraja, H. N.
    STATISTICS & PROBABILITY LETTERS, 2013, 83 (10) : 2357 - 2363
12345