Residual Based Control Charts for Zero-inflated Poisson Processes

A. M. Al-Sayed; T. Mahmood; H. H. Saleh

doi:10.1109/IEEM55944.2022.9989910

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 proceeding › Conference contribution › peer-review

3 Scopus citations

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 language	English
Title of host publication	IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2022
Publisher	IEEE Computer Society
Pages	482-486
Number of pages	5
ISBN (Electronic)	9781665486873
DOIs	https://doi.org/10.1109/IEEM55944.2022.9989910
State	Published - 2022
Event	2022 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2022 - Kuala Lumpur, Malaysia Duration: 7 Dec 2022 → 10 Dec 2022

Publication series

Name	IEEE International Conference on Industrial Engineering and Engineering Management
Volume	2022-December
ISSN (Print)	2157-3611
ISSN (Electronic)	2157-362X

Conference

Conference	2022 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2022
Country/Territory	Malaysia
City	Kuala Lumpur
Period	7/12/22 → 10/12/22

Bibliographical note

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

Access to Document

10.1109/IEEM55944.2022.9989910

Cite this

Al-Sayed, A. M., Mahmood, T., & Saleh, H. H. (2022). Residual Based Control Charts for Zero-inflated Poisson Processes. In IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2022 (pp. 482-486). (IEEE International Conference on Industrial Engineering and Engineering Management; Vol. 2022-December). IEEE Computer Society. https://doi.org/10.1109/IEEM55944.2022.9989910

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title = "Residual Based Control Charts for Zero-inflated Poisson Processes",

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.",

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doi = "10.1109/IEEM55944.2022.9989910",

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Al-Sayed, AM, Mahmood, T & Saleh, HH 2022, Residual Based Control Charts for Zero-inflated Poisson Processes. in IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2022. IEEE International Conference on Industrial Engineering and Engineering Management, vol. 2022-December, IEEE Computer Society, pp. 482-486, 2022 IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2022, Kuala Lumpur, Malaysia, 7/12/22. https://doi.org/10.1109/IEEM55944.2022.9989910

Residual Based Control Charts for Zero-inflated Poisson Processes. / Al-Sayed, A. M.; Mahmood, T.; Saleh, H. H.
IEEE International Conference on Industrial Engineering and Engineering Management, IEEM 2022. IEEE Computer Society, 2022. p. 482-486 (IEEE International Conference on Industrial Engineering and Engineering Management; Vol. 2022-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Saleh, H. H.

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N2 - 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.

AB - 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.

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ER -

Residual Based Control Charts for Zero-inflated Poisson Processes

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this