A New Realistic Economic Designs of Sign Control Chart for Monitoring of Process Mean under Ranked Set Sampling in the Presence of multiple independent Assignable Causes

Rostami, Olia; Bameni Moghadam, Mohammad; Eskandari, Farzad

doi:10.48313/jqem.2024.215009

A New Realistic Economic Designs of Sign Control Chart for Monitoring of Process Mean under Ranked Set Sampling in the Presence of multiple independent Assignable Causes

Document Type : Original Article

Authors

Olia Rostami ^¶

Mohammad Bameni Moghadam

Farzad Eskandari

Department of Statistics, Faculty of Basic Sciences, Alameh Tabatabaei University, Tehran, Iran.

https://doi.org/10.48313/jqem.2024.215009

Abstract

In many control charts, the assumption of normality is a fundamental premise. However, in real-world applications, this assumption is often violated, leading to reduced efficiency in parametric control charts. When process data follow an unknown or non-normal distribution, parametric methods may yield unreliable results, making nonparametric control charts a more effective alternative. Among these, the sign control chart is a widely used technique for monitoring the location parameter of a process without requiring distributional assumptions. This study focuses on the economic design of the sign control chart in the presence of multiple independent assignable causes. A modified cost model, adapted from Duncan’s economic model, is developed to optimize the chart’s parameters. The analysis balances inspection costs and process performance to determine the most cost-effective monitoring strategy. Results indicate that the proposed model significantly enhances economic efficiency and detection performance under non-normal data conditions, making it a valuable tool for practical applications.

Keywords

Realistic economic design

ranked set sampling design

sign control chart

multiple independent assignable causes

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