Abstract—In this paper, we tried to find out the availability of the pulping system in the Paper Industry in the transient state. Markov method is applied and the systems of differential difference equations are formed. These equations are solved with the help of Matrix Method using Computer program. Long run availability is also calculated which is helpful for reliability engineers and managers. The parameter MTTF is also computed. The concept of Correlation and Regression are also applied to study the variation of availability with respect to time.
Index Terms—Availability, markov method, matrix method, correlation and regression.
Zeenat Zaidi is with Al- Qassim University, Kingdom of Saudi Arabia, K.S.A (e-mail: naqvizeenat@yahoo.co.in)
Yogesh kumar Goyal is with Aggarwal P. G. College Ballabgarh, Haryana, India.
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Cite:Zeenat Zaidi and Yogesh Kumar Goyal, "Mathematical Analysis and Availability of the Pulping System in the Paper Industry," International Journal of Modeling and Optimization vol. 4, no. 1, pp. 31-37, 2014.