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AFT regression-adjusted monitoring of reliability data in cascade processes

Author

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  • Shervin Asadzadeh
  • Abdollah Aghaie
  • Seyed Niaki

Abstract

Today’s competitive market has witnessed a growing interest in improving the reliability of products in both service and industrial operations. A large number of monitoring schemes have been introduced to effectively control the reliability-related quality characteristics. These methods have focused on single-stage processes or considered quality variables which are independent. However, the main feature of multistage processes is the cascade property which needs to be justified for the sake of optimal process monitoring. The problem becomes complicated when the presence of censored observations is pronounced. Therefore, both the effects of influential covariates and censored data must be taken into account while presenting a monitoring scheme. In this paper, the accelerated failure time models are used and two regression-adjusted control schemes based on Cox-Snell residuals are devised. Two different scenarios with censored and non-censored data are considered respectively. The competing control charts are compared in terms of zero-state and steady-state average run length criteria using Markov chain approach. The comparison study reveals that the cumulative sum based monitoring procedure is superior and more effective. It should be noted that the application of the proposed monitoring schemes are not restricted to manufacturing processes and thus service operations such as healthcare systems can benefit from them. Copyright Springer Science+Business Media B.V. 2013

Suggested Citation

  • Shervin Asadzadeh & Abdollah Aghaie & Seyed Niaki, 2013. "AFT regression-adjusted monitoring of reliability data in cascade processes," Quality & Quantity: International Journal of Methodology, Springer, vol. 47(6), pages 3349-3362, October.
    • Handle: RePEc:spr:qualqt:v:47:y:2013:i:6:p:3349-3362
    DOI: 10.1007/s11135-012-9723-2
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    References listed on IDEAS

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    1. Chung-Ming Yang, 2006. "Optimal Processes Management for Over-Adjusted Process with Dependent Steps on Bank Industry," Quality & Quantity: International Journal of Methodology, Springer, vol. 40(5), pages 697-719, October.
    2. Chung-Ming Yang, 1999. "Economic Process Management and Its Application on Bank Industry," Quality & Quantity: International Journal of Methodology, Springer, vol. 33(4), pages 381-394, November.
    3. Stefan H. Steiner & R. Jock MacKay, 2001. "Monitoring processes with data censored owing to competing risks by using exponentially weighted moving average control charts," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 50(3), pages 293-302.
    4. Pasquale Erto & Giuliana Pallotta & Sung H. Park, 2008. "An Example of Data Technology Product: A Control Chart for Weibull Processes," International Statistical Review, International Statistical Institute, vol. 76(2), pages 157-166, August.
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