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M. A. Rahim and P. K. Banerjee, “A Generalized Model for the Economic Design of -Control Charts for Production Systems with Increasing Failure Rate and Early Replacement,” Naval Research Logistics, Vol. 40, No. 6, 1993, pp. 787-809. doi:10.1002/1520-6750(199310)40:6<787::AID-NAV3220400605>3.0.CO;2-4

has been cited by the following article:

• TITLE: The Principle of Mathematical Induction Applied to the Generalized Model for the Economic Design of X-Control Charts

  AUTHORS: Mohamed E. Seliaman, Salih O. Duffuaa

  KEYWORDS: Discrete Mathematics; Mathematical Induction; Statistical Quality Control; Design of -Control Charts; Hazard Rate Function

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.2 No.4, December 10, 2012

  ABSTRACT: Rahim and Banerjee [1] developed a general model for the optimal design of x-control charts. The model minimizes the expected cost per unit time. The heart of the model is a theorem that derives the expected total cost and the expected cycle length. In this paper an alternative simple proof for the theorem is provided based on mathematical induction.