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


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.

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M. Seliaman and S. Duffuaa, "The Principle of Mathematical Induction Applied to the Generalized Model for the Economic Design of X-Control Charts," Open Journal of Applied Sciences, Vol. 2 No. 4, 2012, pp. 236-240. doi: 10.4236/ojapps.2012.24035.

Conflicts of Interest

The authors declare no conflicts of interest.


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