IJSREG Trion Studio

No Publication Cost

Vol 9, No 2:

subscription

A Discrete Markov-Chain Model of Two-Unit Standby System with Inspection and Preparation for Repair of a Unit
Abstract
The paper deals with the cost-benefit analysis of a two non-identical units cold standby system model.Unit-1 gets priority in operation as well as in repair over the unit-2. Each unit has two possible modes: Normal (N) and Total failure (F). Upon failure of unit-1 it goes to inspection and then enters into preparation for repair before starting its repair. A single server is always available with the system for inspection, preparation for repair and repair of both the units. Unit-1 gets priority over unit-2 for all types of services of repairman. The time to failure, time to inspection, preparation time and repair time of both the units follow geometric distributions with different parameters
Full Text
PDF
References
1.       A. K. Mogha and A. K. Gupta; A Two Priority Unit Warm Standby System Model with Preparation for Repair. Aligarh J. of Statistics, 2273-90 (2002).
2.       D. Kour; J. S. Joorel and N. Sharma; Effectiveness Analysis of a Two Non-Identical Unit Standby System with Switching Device and Proviso of Rest. International Journal of Mathematical, Engineering and Management Sciences, 4(6), 1496-1507(2019).
3.       M. S. Barak; D. Yadav and S. K. Barak; Stochastic Analysis of Two-Unit Redundant System with Priority to Inspection over Repair. Life Cycle Reliability and Safety Engineering, 7(2), 71-79(2018).
4.       R. Gupta; A Standby System of Two Non-identical Units with Priority and Post Repair Subject to Inspection and Weibull Distribution, International Journal of Statistics and Reliability Engineering, 6(2), 120-132(2020).
5.       R. Gupta and P. Bhardwaj; A Discrete Parametric Markov-Chain Model of a Two Non-identical Unit Cold Standby System with Repair, Inspection and Post Repair, Journal of Ravishankar University, 27(1), 82-91(2014).
6.       R. Gupta and P. Bhardwaj; A Two-Unit Standby System with Two Operative Modes of the Units and Preparation time for Repair, Journal of Reliability and Statistical Studies, 6(1), 87-100(2013).
7.       R. Gupta and Vaishali; A Discrete Parametric Markov-Chain Model of Two-Unit Active Redundant System with Inspection and Two Types of Repair, Journal of Rajasthan Academy of Physical Sciences, 17(1&2), 29-44(2018).
8.       R. Kishan and D. Jain; A Two Non-Identical Unit Standby System Model with Repair, Inspection and Post-Repair under Classical and Bayesian Viewpoints, Journal of Reliability and Statistical Studies, 5(2), 85-103(2012).
9.       S. C. Malik and Upma; Cost-Benefit Analysis of a System of Non-identical Units under Preventive Maintenance and Replacement. Journal of Reliability and Statistical Studies, 9(2), 17-27(2016).
10.      V. Garg and M. S. Kadyan; Profit Analysis of a Two-Unit Cold Standby System Subject to Preventive Maintenance, International Journal of Statistics and Reliability Engineering, 3(1), 29-39 (2016).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

Journal Content
Browser