Analysis of Non-Markovian Process by the Inclusion of Supplementary Variables

Shakuntla ¹ , A.K.Lal ² , S.S.Bhatia ³ , Rachna ⁴

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.1 , pp.245-250, Feb-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i1.245250

Online published on Feb 28, 2019

Copyright © Shakuntla, A.K.Lal, S.S.Bhatia, Rachna . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
Certain stochastic processes with discrete states in continuous time can be converted into Markov process by the well-known method of including supplementary variables technique. In this paper we developed a mathematical model of the steel industry which manufactures the stainless steel plates and also made an attempt to improve its availability. The failure and repair rates of different subsystem are arbitrary distributed. Lagrange’s method for partial differential equations is used to solve system governing equations. Availability analysis of the system helped in identifying the contribution factors and assessing their impact on the system availability.

Key-Words / Index Term :
Supplementary variable technique, Chapman- Kolmogorov, variable failure and repair rates, Lagrange’s method

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