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A New Synthetic Triple Sampling X̅ Control Chart

Author

Listed:
  • Mim Faijun Nahar

    (Department of Statistics, Mawlana Bhashani Science and Technology University, 1902 Santosh, Tangail, Bangladesh)

  • Tasnim Rawnak

    (International Finance Investment and Commerce Bank PLC, Chittagong, Bangladesh)

  • Khoo Michael B. C.

    (School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Minden, Penang, Malaysia)

  • Saha Sajal

    (Department of Mathematics, International University of Business Agriculture and Technology, 1230 Dhaka, Bangladesh)

  • Ali Md. Hazrat

    (Department of Statistics, Mawlana Bhashani Science and Technology University, 1902 Santosh, Tangail, Bangladesh)

  • Chua Shanyu

    (Estek Automation Sdn Bhd, No. 53, Jalan Sungai Tiram 2, Nyaman Mutiara Light Industrial Park 2, Sungai Tiram, 11900 Bayan Lepas, Penang, Malaysia)

Abstract

In this study, the synthetic triple sampling (STS) X ¯ {\overline{X}} chart is introduced to monitor the process mean more effectively. The developed STS X ¯ {\overline{X}} chart combines the triple sampling (TS) X ¯ {\overline{X}} chart and the conforming run length (CRL) chart to enhance shift detection capabilities. The performance of the STS X ¯ {\overline{X}} chart is compared with that of the TS X ¯ {\overline{X}} and synthetic double sampling (SDS) X ¯ {\overline{X}} charts on the basis of the average number of observations to signal (ANOS) and expected ANOS (EANOS) as key performance metrics. Results show that the process shift detection effectiveness of the STS X ¯ {\overline{X}} chart is generally superior to that of the TS X ¯ {\overline{X}} and SDS X ¯ {\overline{X}} charts. Real industrial data are adopted to demonstrate the implementation of the STS X ¯ {\overline{X}} chart.

Suggested Citation

  • Mim Faijun Nahar & Tasnim Rawnak & Khoo Michael B. C. & Saha Sajal & Ali Md. Hazrat & Chua Shanyu, 2025. "A New Synthetic Triple Sampling X̅ Control Chart," Stochastics and Quality Control, De Gruyter, vol. 40(2), pages 159-170.
    • Handle: RePEc:bpj:ecqcon:v:40:y:2025:i:2:p:159-170:n:1006
    DOI: 10.1515/eqc-2025-0032
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