Economic design of Hotelling’s T2 control chart on the presence of fixed sampling rate and exponentially assignable causes
Year: 2014
Type: article
Abstract: Control charts are extensively used in manufacturing contexts to monitor production processes. This article illustrates economical design of a variable sample size and control limit Hotelling’s T2 control chart based on a novel cost model when occurrence times of the assignable causes are exponentially distributed. The proposed nonlinear cost model is an extension of Duncan’s (J Am Stat Assoc 51: 228–242, 1956) model which was employed for univariate cases. Applying genetic algorithm to find optimum parameter values and using an L 33 orthogonal array in sensitivity analysis on the model parameters is investigated through a numerical example to illustrate the effectiveness of the proposed approach.
Authors: Ehsan Bahiraee, Sadigh Raissi
Institution: Islamic Azad University South Tehran Branch
Language: English
Subfield: Statistics, Probability and Uncertainty
Field: Decision Sciences
Domain: Social Sciences
Open Access status: diamond
Funder: Islamic Azad University
OpenAlex ID: W2134147158