Nonparametric adaptive cumulative sum charting scheme for monitoring process location

Zameer Abbas, Hafiz Zafar Nazir, Dongdong Xiang, Jianqing Shi

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

For effective monitoring of the range of sustainable changes in the process median, a nonparametric adaptive cumulative sum signed-rank (NPACUSUM-SR) control chart has been suggested in this study. Through the use of Monte Carlo simulation, the numerical analysis of the suggested NPACUSUM-SR scheme has been calculated for zero and steady states. Run length (RL) profiles have been used to explore and compare the proposed NPACUSUM-SR chart's in-control resilience under various symmetrical heavy-tailed, light-tailed, and contaminated normal distributions. The suggested NPACUSUM-SR chart has undergone a thorough investigation of the competition using Wilcoxon signed-rank statistics and sign statistics under steady-state and zero-state conditions. The comparison shows that the suggested NPACUSUM-SR design is superior to its competitors, especially when considering steady-state performance over a wide range of shifts. This study examines the viability of the suggested design through a manufacturing-related application.

Original languageEnglish
Pages (from-to)2487-2508
Number of pages22
JournalQuality and Reliability Engineering International
Volume40
Issue number5
DOIs
StatePublished - Jul 2024

Keywords

  • Wilcoxon signed-rank test
  • adaptive CUSUM
  • average run length
  • industrial processes
  • steady-state
  • zero-state

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