Run-sum control charts for monitoring the coefficient of variation

Wei Lin Teoh*, Michael Boon Chong Khoo, Philippe Castagliola, Wai Chung Yeong, Sin Yin Teh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

72 Citations (Scopus)


The coefficient of variation (CV) is a unit-free and effective normalized measure of dispersion. Monitoring the CV is a crucial approach in Statistical Process Control when the quality characteristic has a distinct mean value and its variance is a function of the mean. This setting is common in many scientific areas, such as in the fields of engineering, medicine and various societal applications. Therefore, this paper develops a simple yet efficient procedure to monitor the CV using run-sum control charts. The run-length properties of the run-sum CV (RS-γ) charts are characterized by the Markov chain approach. This paper proposes two optimization algorithms for the RS-γ charts, i.e. by minimizing (i) the average run length (ARL) for a deterministic shift size and (ii) the expected ARL over a process shift domain. Performance comparisons under both the zero- and steady-state modes are made with the Shewhart-γ, Run-rules-γ and EWMA-γ charts. The results show that the proposed RS-γ charts outperform their existing counterparts for all or certain ranges of shifts in the CV. The application of the optimal RS-γ charts is illustrated with real data collected from a casting process.

Original languageEnglish
Pages (from-to)144-158
Number of pages15
JournalEuropean Journal of Operational Research
Issue number1
Early online date31 Aug 2016
Publication statusPublished - 16 Feb 2017


  • Average run length
  • Coefficient of variation
  • Markov chain
  • Quality control
  • Run-sum control chart

ASJC Scopus subject areas

  • Modelling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management


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