Residual Based Control Charts for Zero-inflated Poisson Processes

A. M. Al-Sayed, T. Mahmood*, H. H. Saleh

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Revolution in manufacturing and service industries brings a considerable change in the quality of the products and services. Most systems produce near-zero defects; therefore, data related to defects has many zeros. For estimation, the traditional Poisson model cannot deal with the excess number of zeros. Hence, a possible alternative solution is to use the zero-inflated Poisson model. From a quality control perspective, many control charts monitor zero-inflated Poisson processes. However, very few have considered covariates along with the zero-inflated Poisson variable in monitoring and termed model-based monitoring. This study is designed to propose the model-based Homogenous Weighted Moving Average (HWMA) and Double Homogenous Weighted Moving Average (DHWMA) control charts based on the Pearson residuals of ZIP models. In addition, a simulation-based comparative study is designed where findings are reported using run-length metrics. The findings revealed that the PR-DHWMA chart performs relatively better than the PR-HWMA chart.

Original languageEnglish
Title of host publicationIEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2022
PublisherIEEE Computer Society
Pages482-486
Number of pages5
ISBN (Electronic)9781665486873
DOIs
StatePublished - 2022
Event2022 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2022 - Kuala Lumpur, Malaysia
Duration: 7 Dec 202210 Dec 2022

Publication series

NameIEEE International Conference on Industrial Engineering and Engineering Management
Volume2022-December
ISSN (Print)2157-3611
ISSN (Electronic)2157-362X

Conference

Conference2022 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2022
Country/TerritoryMalaysia
CityKuala Lumpur
Period7/12/2210/12/22

Bibliographical note

Funding Information:
This research work is based upon work supported by King Fahd University of Petroleum & Minerals. Authors at KFUPM acknowledge the Interdisciplinary Research Center for Smart Mobility and Logistics for the support received under Grant no. INML2205.

Publisher Copyright:
© 2022 IEEE.

Keywords

  • Control chart
  • Model-based monitoring
  • Pearson residuals
  • Statistical Process Control
  • Zero-inflated Poisson

ASJC Scopus subject areas

  • Business, Management and Accounting (miscellaneous)
  • Industrial and Manufacturing Engineering
  • Safety, Risk, Reliability and Quality

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