Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2017
  • Volume: 36e
  • Issue: 2

Evaluation of the availability and M.T.T.F. of two unit standby redundant complex systems

1Deptt. of Statistics, N.A.S. (P.G.) College, Meerut, Uttar Pradesh, 250003. E-mail: avikrishna94@yahoo.co.in

2Deptt. of Mathematics, N.A.S. (P.G.) College, Meerut, Uttar Pradesh, 250003. E-mail: vireshsharma1@yahoo.com

3Research Scholar, Mewar University, Gangrar, Chittorgarh, Rajasthan, 312901. E-mail: ajaytyagi2009@gmail.com

*Corresponding Author: Viresh Sharma, Deptt. of Mathematics, N.A.S. (P.G.) College, Meerut, Uttar Pradesh, 250003. E-mail: vireshsharma1@yahoo.com

Online published on 16 January, 2018.

Abstract

The authors have considered a complex system composed of two units in parallel redundancy which has been studied to evaluate M.T.T.F. and availability. Supplementary variable technique has been utilised to derive various state probabilities and the operational availability. The repair facility is available in either one unit or the whole system fails. After failure of one unit, the system is undertaken for repair, of course, the other unit is in operative mode. If during the repair of the first unit, the second unit also fails then the system is assumed to go to down state.

Keywords

M.T.T.F, Supplementary variable, Repairable system, Redundancy, Availability