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Modified Synthetic Control Chart for One-Step Markov-Dependent Processes

Author

Listed:
  • Adnaik Sachin Bajirao
  • Gadre Mukund Parasharam

Abstract

Quality measurement by the attributes method often does not result in independent random variables for the count of non conformities or non conforming units. A model based on Markovian dependence can be considered as a practical option in such situations. For a Markovian production process, Adnaik et al. (in press) have proposed the “Single Attribute Control Charts” (SACCs) using two criteria. The first one is by controlling the error probabilities being (α*, β*) and the second, by using the ATS criterion. In this article, we propose a “Modified Synthetic Single Attribute Control Chart” for one-step Markovian Dependent process using ATS criterion (MSyn-SACC-MD).Zero state as well as the steady-state performance of the chart is studied. It is numerically illustrated that the proposed chart is more efficient than SACC-MD-A as proposed by Adnaik et al. (in press).

Suggested Citation

  • Adnaik Sachin Bajirao & Gadre Mukund Parasharam, 2015. "Modified Synthetic Control Chart for One-Step Markov-Dependent Processes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(5), pages 942-952, March.
  • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:5:p:942-952
    DOI: 10.1080/03610926.2012.749286
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