I. N. Gibra, “Economically Optimal Determination of the Parameters of X-Control Chart,” Management Science, Vol. 17, No. 9, 1971, pp. 635-646.

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.