Title: Economic-statistical design of EWMA-3 control chart for monitoring simple linear profiles

Authors: Amirhossein Amiri; Mahboubeh Mohebbi

Addresses: Industrial Engineering Department, Shahed University, Tehran, Iran ' Industrial Engineering Department, Faculty of Engineering, Payame Noor University, Tehran, Iran

Abstract: In this paper, the EWMA-3 control chart for monitoring simple linear profile is economic-statistically designed. Average run length criterion of the EWMA-3 control chart is computed by using a Markov chain approach. In the proposed model, the Lorenzen and Vance cost function is applied and the parameters of non-conforming production cost are computed based on the Taguchi cost function. The proposed model is solved by a genetic algorithm. Finally, a sensitivity analysis is done on the parameters of the proposed model.

Keywords: economic design; statistical design; simple linear profiles; EWMA-3 control charts; Markov chain; average run length; ARL; exponentially-weighted moving average; control chart design; Taguchi methods; cost function; genetic algorithms; profile monitoring.

DOI: 10.1504/IJQET.2014.066991

International Journal of Quality Engineering and Technology, 2014 Vol.4 No.4, pp.290 - 314

Received: 23 Apr 2014
Accepted: 17 Jun 2014

Published online: 19 Jan 2015 *

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