Open Access Open Access  Restricted Access Subscription Access

Profit Analysis of a 1-out-of-2:GSystem with Priority to Repair and Conditional Failure of Service Facility

Anuradha ., S. C Malik, P. C Jha

Abstract


Here,we analyze profit of a 1-out-of-2: G system with priority to repair and failure of service facility. The system has two identical units which are initially operative and one unit is required to be good for the proper functioning. The system undergoes for preventive maintenance with an arbitrary rate in order to restore the efficiency of the working units. A single service (repair) facility cares the preventive maintenance and repair of the units whenever desires. The service facility is subjected to failure during repair of the unit only and therefore, undergoes for treatment to resume the energy for carrying out the remaining repair activities. The provision of priority for repair of the unit has been made over the preventive maintenance. The well-known semi-Markov process and regenerative point technique are used to develop the system model under certain assumptions. The measures that are prone to assess the performance of the system have been discussed for arbitrary values of the rates which follow some arbitrary distributions including the negative exponential.  The system is analyzed in steady state and the graphs have been drawn to see the effect of different transition rates (failure rate, preventive maintenance rate, treatment rate, and repair rate) of the units on reliability measures and the profit.


Full Text:

PDF

References


Gitanjali; Cost-Benefit Analysis of Parallel Unit System Reliability Models with Maximum Repair Time, Ph.D. Thesis, M.D. University, Rohtak, (2014).

Jyoti; Stochastic Analysis of a Redundant Systems of Different Repair Policies of server Subjected to Failure, Ph.D. Thesis, M.D. University, Rohtak, (2014).

Permila; Stochastic Analysis of 2-out-of-2: G system with standby, Ph.D. Thesis, M.D. University, Rohtak(2016).

R. Kishan; M. Kumar; Stochastic analysis of a two-unit parallel system with preventive maintenance”, Journal of Reliability and Statistical Studies, 22 31- 38 (2009).

S.C. Malik; A. Kumar; Stochastic modeling of a computer system with priority to PM over S/W replacement subject to maximum operation and repair times, International Journal of Computer Applications, 43 (3) 27-34 (2012).

S.C. Malik; Gitanjali; Cost-benefit analysis of a parallel system with arrival time of the server and maximum repair time, International Journal of Computer Applications, 46 (5) 39-44 (2012).

S.C. Malik; P.Nandal; Cost-analysis of stochastic models with priority to repair over preventive maintenance subject to maximum operation time, Learning Manual on Modelling, Optimization and Their Applications, Edited Book, Excel India Publishers, 165-178 (2010).

S.C. Malik; Rathee; Profit Analysis of Parallel System with Priority to preventive maintenance over replacement subject to maximum repair and operation time, International Journal of Engineering Development and Research, 2(3) (2014).

S.C. Malik; J.K. Sureria; Probabilistic analysis of a computer system with priority to h/w repair over s/w replacement, International Journal of Statistics and Analysis, 2 (4) 379-389 ( 2012).

S.C. Malik; R.K. Bhardwaj; Profit Analysis of 2-out-of-3 Redundant Systems With Feasibility of Repair, Journal of Mathematics and System Sciences, 4 (2) 23-36(2008).

S.C. Malik; R.K. Bhardwaj; Profit Analysis of a Stochastic Model of 2-outof-3 Redundant System with Inspection By a Server who Appears and Disappears Randomly, International Journal of Business and Engineering Research ,1(1) 49 – 58(2008).

S.C. Malik; R.K. Bhardwaj; Profit Analysis of a Stochastic Model of 2-out of-3 Redundant System with Inspection By a Server who Appears and Disappears Randomly, International Journal of Business and Engineering Research, 1(1) 49 – 58(2008).

S.C. Malik; R.K. Bhardwaj; Reliability and Cost Benefit Analysis of 2-outof-3 Redundant System with General Distribution of Repair and Waiting Time, International Journal for Business and IT (DTR), 4 (1) 28 – 35 (2007).


Refbacks

  • There are currently no refbacks.




INDIAN ASSOCIATION FOR RELIABILITY AND STATISTICS

(IARS)

© 2015 IARS. All right reserved.