Performance measures of discrete and continuous time-between-events control charts

Caterina Rizzo (Corresponding author), Swee Teng Chin, Edwin van den Heuvel, Alessandro Di Bucchianico

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)


An increasing number of applications in the chemical industry involve measuring nonconforming items, particularly in high-purity processes or high-yield processes. Dedicated monitoring tools such as the time-between-events (TBE) control charts have been developed for both discrete time (CCC-charts) and continuous time (tr-charts) for detecting any shifts in the process defect rate. However, most common performance metrics used in literature are not always appropriate and may not suffice to describe the efficiency of a monitoring system. The definition of conditional performance measures described in the literature is extended to TBE charts. These metrics are computed for Shewhart-type TBE charts with run rules and used to compare these charts at different aggregation levels.

Original languageEnglish
Pages (from-to)2754-2768
Number of pages15
JournalQuality and Reliability Engineering International
Issue number8
Early online date29 Jun 2020
Publication statusPublished - 1 Dec 2020


  • average length of inspection (ALI)
  • conditional expected delay (CED)
  • high-yield processes
  • probability of successful detection (PSD)
  • standard deviation of length of inspection (SDLI)
  • statistical process control (SPC)


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