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

OJAppS > Vol.2 No.4, December 2012

Open Journal of Applied Sciences

Volume 2, Issue 4 (December 2012)

ISSN Print: 2165-3917 ISSN Online: 2165-3925

Google-based Impact Factor: 0.92 Citations h5-index & Ranking

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

HTML

Download as PDF (Size: 167KB) PP. 236-240

DOI: 10.4236/ojapps.2012.24035 5,094 Downloads 9,567 Views Citations

Author(s)

Mohamed E. Seliaman, Salih O. Duffuaa

Affiliation(s)

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

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

Share and Cite:

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.

Cited by

[1]	Analysis of the Effect of Subgroup Size on the X-Bar Control Chart Using Forensic Science Laboratory Sample Influx Data
	2017

[2]	Al-Karajī: His Contribution On Arithmetic, Algebra, Binomial Theorem and Mathematical Induction
	IIUM School of Economics (Syntax), 2017

[3]	Monitoring Saccharification Process in Brewery Industry Using Quality Control Charts
	2016