A. J. Duncan, “The Economic Design of -Control Charts Used to Maintain Current Control of a Process,” Journal of the American Statistics Association, Vol. 51, 1956, pp. 228-242.
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.