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.