Hierarchical process modeling: describing within-run and between-run variations

R.H. Klein Entink, Gerardus J.A. Fox, Bernardus H.L. Betlem, B. Roffel

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)

Abstract

Run-to-run variability is a common problem for modeling batch-wise and semi-continuous operated processes. Although observed reactor runs show the same trends in process behaviour, each specific reactor run also shows its own characteristics. Until now, available modeling methods were unable to describe the observed between run variance. In this paper, we present a hierarchical modeling method to solve this problem. A case study for a semi-continuous operated polymer process is analysed to illustrate the hierarchical modeling approach. It was shown that, using the applied modeling method, it is possible to obtain a model which is robust over several reactor runs and which provides a tool for process analysis. Also, the hierarchical model was shown to be superior to a model which lacked an appropriate description of the differences between reactor runs.
Original languageEnglish
Pages (from-to)349-361
Number of pages13
JournalJournal of process control
Volume17
Issue number4
DOIs
Publication statusPublished - Apr 2007

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Hierarchical Modeling
Process Modeling
Reactor
Modeling Method
Polymers
Hierarchical Model
Batch
Modeling
Model

Keywords

  • Between-run variance
  • IR-58619
  • Hierarchical modeling
  • Multi-stage sampling

Cite this

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title = "Hierarchical process modeling: describing within-run and between-run variations",
abstract = "Run-to-run variability is a common problem for modeling batch-wise and semi-continuous operated processes. Although observed reactor runs show the same trends in process behaviour, each specific reactor run also shows its own characteristics. Until now, available modeling methods were unable to describe the observed between run variance. In this paper, we present a hierarchical modeling method to solve this problem. A case study for a semi-continuous operated polymer process is analysed to illustrate the hierarchical modeling approach. It was shown that, using the applied modeling method, it is possible to obtain a model which is robust over several reactor runs and which provides a tool for process analysis. Also, the hierarchical model was shown to be superior to a model which lacked an appropriate description of the differences between reactor runs.",
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Hierarchical process modeling : describing within-run and between-run variations. / Klein Entink, R.H.; Fox, Gerardus J.A.; Betlem, Bernardus H.L.; Roffel, B.

In: Journal of process control, Vol. 17, No. 4, 04.2007, p. 349-361.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - Hierarchical process modeling

T2 - describing within-run and between-run variations

AU - Klein Entink, R.H.

AU - Fox, Gerardus J.A.

AU - Betlem, Bernardus H.L.

AU - Roffel, B.

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N2 - Run-to-run variability is a common problem for modeling batch-wise and semi-continuous operated processes. Although observed reactor runs show the same trends in process behaviour, each specific reactor run also shows its own characteristics. Until now, available modeling methods were unable to describe the observed between run variance. In this paper, we present a hierarchical modeling method to solve this problem. A case study for a semi-continuous operated polymer process is analysed to illustrate the hierarchical modeling approach. It was shown that, using the applied modeling method, it is possible to obtain a model which is robust over several reactor runs and which provides a tool for process analysis. Also, the hierarchical model was shown to be superior to a model which lacked an appropriate description of the differences between reactor runs.

AB - Run-to-run variability is a common problem for modeling batch-wise and semi-continuous operated processes. Although observed reactor runs show the same trends in process behaviour, each specific reactor run also shows its own characteristics. Until now, available modeling methods were unable to describe the observed between run variance. In this paper, we present a hierarchical modeling method to solve this problem. A case study for a semi-continuous operated polymer process is analysed to illustrate the hierarchical modeling approach. It was shown that, using the applied modeling method, it is possible to obtain a model which is robust over several reactor runs and which provides a tool for process analysis. Also, the hierarchical model was shown to be superior to a model which lacked an appropriate description of the differences between reactor runs.

KW - Between-run variance

KW - IR-58619

KW - Hierarchical modeling

KW - Multi-stage sampling

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JO - Journal of process control

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