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

Mohamed E. Seliaman, Salih O. Duffuaa

Department of Information Systems, King Faisal University, Al-Ahsa, Saudi Arabia.
Department of Systems Engineering, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia.

DOI: 10.4236/ojapps.2012.24035                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

References

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