Title: Group runs control chart approach for monitoring simple linear profiles

Authors: Vikas Ghute; Onkar Ghadge

Addresses: Department of Statistics, Punyashlok Ahilyadevi Holkar Solapur University, Solapur, MS, India ' Department of Statistics, Punyashlok Ahilyadevi Holkar Solapur University, Solapur, MS, India

Abstract: In this paper, a new method based on group runs (GR) control chart is proposed to enhance the monitoring of simple linear profiles in Phase II. The proposed method is based on simultaneous use of three independent GR control charts developed to monitor intercept, slope and error variance parameters of the simple linear regression model. The individual GR control charts of the proposed method are designed by integrating each of the individual Shewhart-type chart for monitoring intercept, slope and error variance with extended version of the CRL chart and method is referred to as GR Shewhart-3 method. The performance of the proposed GR Shewhart-3 method is evaluated by average run length criterion under sustained shifts of different magnitudes in the intercept, slope and error variance. A comprehensive comparison of proposed method with a number of competing methods is incorporated in the monitoring procedure to identify whether the proposed method has better performance than its main competitors. Simulation results revealed a good performance of the proposed GR Shewhart-3 method. Finally, the implementation of the proposed method is illustrated through an example.

Keywords: average run length; ARL; profile monitoring; GR control chart; intercept; slope; error variance.

DOI: 10.1504/IJQET.2024.140146

International Journal of Quality Engineering and Technology, 2024 Vol.10 No.1, pp.67 - 85

Received: 04 Feb 2023
Accepted: 02 Oct 2023
Published online: 25 Jul 2024 *

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