HYBRID EXPONENTIALLY WEIGHTED MOVING AVERAGE (HEWMA) CONTROL CHART BASED ON EXPONENTIAL TYPE ESTIMATOR OF MEAN

  • Syed Muhammad Muslim Raza Department of Quantitative Methods, School of Business and Economics, University of Management and Technology, Lahore, Pakistan
  • Maqbool Hussain Sial Department of Quantitative Methods, School of Business and Economics, University of Management and Technology, Lahore, Pakistan
  • Muhammad Haider Department of Examination, Minhaj University, Lahore, Pakistan
  • Muhammad Moeen Butt Department of Quantitative Methods, School of Business and Economics, University of Management and Technology, Lahore, Pakistan
Keywords: Hybrid, EWMA, Estimator, DS, EWMAAverage Run Length

Abstract

In this paper, we have proposed a Hybrid Exponentially Weighted Moving Average (HEWMA) control chart. The proposed control chart is based on the exponential type estimator for mean using two auxiliary variables (cf. Noor-ul-Amin and Hanif, 2012). We call it an EHEWMA control chart because it is based on the exponential estimator of the mean. From this study, the fact is revealed that E-HEWMA control chart shows more efficient results as compared to traditional/simple EWMA chart and DS.EWMA control chart (cf. Raza and Butt, 2018). The comparison of the E-HEWMA control chart is also performed with the DS-EWMA chart. The proposed chart also outperforms the other control chartsin comparison. The E-HEWMA chart can be used for efficient monitoring of the production process in manufacturing industries.A simulated example has been used to compare the proposed and traditional/simple EWMA charts and DS.EWMA control chart. The control charts' performance is measured using the average run length-out of control (ARL1). It is observed that the proposed chart performs better than existing EWMA control charts.

 

Published
2019-12-19
Section
Articles