Analysis of a Three Unit System with Demand Dependent Operability of Units

Rachna Khurana¹ , A.K.lal ² , S.S. Bhatia³ , R.K.Tuteja ⁴ , Shakuntla ⁵

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.1 , pp.1-24, Feb-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i1.124

Online published on Feb 28, 2019

Copyright © Rachna Khurana, A.K.lal, S.S. Bhatia, R.K.Tuteja, Shakuntla . 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 :
In this paper we develop a stochastic model for a three dissimilar unit standby system wherein the units may be made operative depending upon the load/demand. The system under consideration is assumed to have two shifts of working and the whole system undergoes for scheduled preventive/corrective maintenance before starting the second shift. Mathematical formulation of the problem determining the transition probabilities of various states is developed considering two types of failure for each unit (Type -I which has no standby and the Type – II which has standby). Various reliability metrics such as mean time to system failure (MTSF), availability, busy period and profit have been discussed for measuring the system effectiveness by using semi-Markov process and regenerative point technique. Graphical study of the behavior of MTSF, availability and profit analysis has also been done.

Key-Words / Index Term :
Availability, Busy Period, MTSF, Regenerative point technique, Semi-Markov Process

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