TY - JOUR ID - 3914 TI - A Quartic Quality Loss Function and Its Properties JO - Journal of Industrial and Systems Engineering JA - JISE LA - en SN - 1735-8272 AU - Fathi, Yahya AU - Poonthanomsook, Chanwut AD - 1,2Department of Industrial and Systems Engineering, North Carolina State University Raleigh, NC 27695-7906, USA AD - Department of Industrial and Systems Engineering, North Carolina State University Raleigh, NC 27695-7906, USA Y1 - 2007 PY - 2007 VL - 1 IS - 1 SP - 8 EP - 22 KW - Quality cost KW - Continuous loss function KW - Parameter design problem DO - N2 - We propose a quartic function to represent a family of continuous quality loss functions. Depending on the choice of its parameters the shape of this function within the specification limits can be either symmetric or asymmetric, and it can be either similar to the ubiquitous quadratic loss function or somewhat closer to the conventional step function. We examine this family of loss functions in the context of their industrial applications and use them in a mathematical programming model for the parameter design problem. UR - https://www.jise.ir/article_3914.html L1 - https://www.jise.ir/article_3914_e9239b7a8fd53903e70d667adc0a9b8c.pdf ER -