Design of the Shewhart Median Scheme with the Percentile-Based Approach

Zhi Lin Chong, Wei Lin Teoh, Sok Li Lim, Wai Chung Yeong, Xin Ying Chew

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

Abstract

In this article, we examine the design of the Shewhart median scheme using the recently proposed percentile-based (PL) approach and compare it with the average run length (ARL) and median run length (MRL) approaches. The PL approach allows the design of control schemes where practitioners can ensure the desired conditions on the in-control (IC) and out-of-control (OOC) run length (RL) performances satisfied with chosen probabilities. In other words, using the PL approach, we can guarantee the IC and OOC RL performances with desired probabilities. In addition, we examine the IC and OOC performances of the Shewhart median scheme based on the ARL, MRL, and PL approaches in detail. We conclude that the PL approach significantly improves the IC performance of the Shewhart median scheme compared to the ARL approach, without sacrificing much OOC performance when d = 1.5. Moreover, the MRL method can be treated as a particular case of the PL approach, i.e., the MRL is the 50th percentile of the RL distribution.

Original languageEnglish
Title of host publicationICSCA 2022: 11th International Conference on Software and Computer Applications
PublisherAssociation for Computing Machinery
Pages206-211
Number of pages6
ISBN (Electronic)9781450385770
DOIs
Publication statusPublished - Feb 2022
Event11th International Conference on Software and Computer Applications 2022 - Virtual, Online, Malaysia
Duration: 24 Feb 202226 Feb 2022

Conference

Conference11th International Conference on Software and Computer Applications 2022
Abbreviated titleICSCA 2022
Country/TerritoryMalaysia
CityVirtual, Online
Period24/02/2226/02/22

ASJC Scopus subject areas

  • Human-Computer Interaction
  • Computer Networks and Communications
  • Computer Vision and Pattern Recognition
  • Software

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