Variable sampling plans for normal distribution indexed by Taguchi's loss function

Abstract

Taguchi has presented an approach to quality improvement in which reduction of deviation from the target value is the guiding principle. In this approach any measured value x of a product characteristic X brings a loss to consumer in general, where the loss is expressed as a quadratic form with respect to the difference between the measured value x and the target value T of a product characteristic. Then, it is natural to reject the lot which may bring a large loss to consumer. This concept induces us to construct new variable sampling plans based on the Taguchi's loss criterion. In this article, a design procedure of the sampling plans for assuring the loss in the Taguchi's method is proposed. Some numerical results based on the proposed design procedures are illustrated. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44: 591–603 (1997)

A Variable Sampling Plan Based on <i>C_L</i> for Exponentially Distributed Products

“…Recently, variables sampling plans attracted the more and more attention of industries.And some variables single sampling plans have been developed by considering numerous process capability indices (PCIs) (see [1][2][3][4][5]). Before using the PCI,many researches usually assumed that the product lifetime was fitted by a specific probability distribution,such as the exponential,the Weibull,the gamma,or the log-normal distributions (see [6][7]).…”

Specification limit under a quality loss function

“…Taguchi's loss function can be applied in oþ -line and on-line quality control. Previous researchers (Alexander et al, 1995;Arizono et al, 1997;Derman & Ross, 1997, pp. 178± 192;Elsayed & Chen, 1994;Fink & Margavio, 1994;Kapur & Wang, 1987;Tagaras, 1994) have addressed the problems of quality loss functions applied in the economic design of control charts, speci® cation limits and acceptance sampling.…”