Construction of the Shewhart Median Chart Based on the Expected Percentile Run Length

Z. L. Chong, W. L. Teoh, H. W. You, W. C. Yeong, M. B. C. Khoo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A recent study explored the construction of the Shewhart median (S-M) chart by utilizing the percentile-based (PL) method. By using the PL method, practitioners can ascertain that the required conditions on run length (RL) performances for both in-control (IC) and out-of-control (OC) cases are met with desired probabilities. They conducted a comprehensive investigation on the IC and OC capabilities of the S-M chart utilizing the average run length (ARL), median run length (MRL), and PL methods for known shift sizes, and concluded that by adopting the PL method, the S-M chart demonstrated a noteworthy enhancement in the IC performance in comparison to the ARL method without causing much deterioration to the OC performance when δ≥1.5. However, in various practical scenarios, the exact shift size is commonly unknown. Hence, we propose a new performance measure called the expected percentile run length (EPRL), where 50 th EPRL is equivalent to expected MRL (EMRL). It can be inferred that by adopting the PL method, the S-M chart demonstrated a noteworthy enhancement in the IC performance in comparison to the ARL method without causing much deterioration to the OC performance when (δminmax)=(1.5,2.0) for unknown shift sizes. We illustrate the application of the proposed method using a real-life example based on the hard-baking process.
Original languageEnglish
Title of host publication13th IEEE International Conference on Control System, Computing and Engineering (ICCSCE)
PublisherIEEE
Pages33-38
Number of pages6
ISBN (Electronic)9798350323184
DOIs
Publication statusPublished - 6 Sept 2023
Event13th IEEE International Conference on Control System, Computing and Engineering 2023 - Penang, Malaysia
Duration: 25 Aug 202326 Aug 2023

Conference

Conference13th IEEE International Conference on Control System, Computing and Engineering 2023
Abbreviated titleICCSCE 2023
Country/TerritoryMalaysia
CityPenang
Period25/08/2326/08/23

Keywords

  • Expected median run length
  • Expected percentile run length
  • Percentile-based method
  • Shewhart median chart
  • unknown shift size

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Science Applications
  • Computer Vision and Pattern Recognition
  • Human-Computer Interaction
  • Information Systems and Management
  • Control and Systems Engineering
  • Control and Optimization

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