Combined Shewhart CUSUM charts using auxiliary variable

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)329-337
Journal / PublicationComputers and Industrial Engineering
Volume105
Online published21 Jan 2017
Publication statusPublished - Mar 2017

Abstract

A control chart is an important statistical tool for monitoring disturbances in a statistical process, and it is richly applied in the industrial sector, the health sector and the agricultural sector, among others. The Shewhart chart and the Cumulative Sum (CUSUM) chart are traditionally used for detecting large shifts and small shifts, respectively, while the Combined Shewhart-CUSUM (CSC) monitors both small and large shifts. Using auxiliary information, we propose new CSC (MiCSC) charts with more efficient estimators (the Regression-type estimator, the Ratio estimator, the Singh and Tailor estimator, the power ratio-type estimator, and the Kadilar and Cingi estimators) for estimating the location parameter. We compare the charts using average run length, standard deviation of the run length and extra quadratic loss, with other existing charts of the same purpose and found out that some of the MiCSC charts outperform their existing counterparts. At last, a real-life industrial example is provided.

Research Area(s)

  • Auxiliary information, Average run length, Combined Shewhart-CUSUM, Control chart, Extra quadratic loss

Citation Format(s)

Combined Shewhart CUSUM charts using auxiliary variable. / Sanusi, Ridwan A.; Abujiya, Mu'azu Ramat; Riaz, Muhammad; Abbas, Nasir.

In: Computers and Industrial Engineering, Vol. 105, 03.2017, p. 329-337.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review