International Journal of Statistics and Reliability Engineering

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Vol 5, No 1 :

openaccess

Stochastic Analysis of a Two - Unit Cold Standby System with Preventive Maintenance and General Distribution of all Random Variables

Meenu Goel , Jitender Kumar

Abstract

The main objective of this paper is to analyze a two unit cold standby system by considering general distribution for all random variables associated with the system. The unit works as a reduced capacity after its repair and is called degraded unit. A single repairman is provided to the system who visits the system immediately and is capable to do all types of repairs, inspection and preventive maintenance (PM). The repairman inspects the failed degraded unit to see the feasibility of its repair or replacement. If the repair of the degraded unit is not feasible, it is replaced by new unit. PM will be provided to the system to enhance the efficiency of the system when both the units are degraded and available for use. Priority for operation is provided to new unit over degraded unit. Results for various reliability characteristics such as mean time to system failure (MTSF), availability and profit of the system have been obtained by using regenerative point graphical technique (RPGT). To highlight the importance of the study, the results for MTSF, availability and profit function are obtained by considering different distributions for all random variables.

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References

G. S. Mokaddis; S.W. Labib; A.M. Ahmed; Analysis of a Two-Unit Warm Standby System Subject to Degradation, Microelectronics Reliability, 37: 641-648(1997).

J. Kumar ; M.S. Kadyan; S. C. Malik; Cost-Benefit Analysis of a Two-Unit Parallel System Subject to Degradation after Repair, Applied Mathematical Sciences, 4(5) 2749-2758 (2010).

K. M. El-Said; M.S. El-Sherbeny; Stochastic Analysis of a Two-Unit Cold Standby System with Two-Stage Repair and Waiting Time, Sankhya: The Indian Journal of Statistics, 72-B (1) 1-10 (2010).

K. Murari; V. Goyal; Comparison of Two-Unit Cold Standby Reliability Models with Three Types of Repair Facilities, Microelectronics Reliability, 24(1) 35-49 (1984).

L. .R. Goel; P. Srivastava; Profit Analysis of Two Unit Redundant System with Provision of Rest and Correlated Failures and Repairs, Microelectronics Reliability, 31 827-833 (1991).

M. S. Kadyan; S.C. Malik; J. Kumar; Analysis of a Redundant System Subject to Degradation and Priority for Operation to New Unit, Bulletin of Pure and Applied Sciences, 29(E) 1-12 (2010).

M.A.W. Mahmoud; M. E. Moshref; On a Two-Unit Cold Standby System Considering Hardware, Human Error Failures and Preventive Maintenance, Mathematical and Computer Modelling, 51 736–745 (2010).

R. Gupta; Probabilistic Analysis of a Two-Unit Cold Standby System with Two Phase Repair and Preventive Maintenance, Microelectronics Reliability, 26 13–18(1986).

S.C. Malik; P. Chand; J. Singh; Stochastic Analysis of an Operating System with Two Types of Inspection Subject to Degradation, Journal of Applied Probability and Statistics, 3(2) 227-241(2008).

V. Garg; M.S. Kadyan (2016) Profit Analysis of a Two-Unit Cold Standby System Subject to Preventive Maintenance, International Journal of Statistics and Reliability Engineering, 3(1) 30-40 (2016).

V.K. Gupta; J. Singh; Behavior and Profit Analysis of a Redundant System with Imperfect Switch, Journal of Mathematics And System Science, 3(1) 16- 35(2007).

V. K. Gupta; J. Singh; Availability and Profit Analysis of an Ash Handling Plant, Journal of Mathematics And System Science, 4(1) 90-112 (2008).

U.A. Ali; N.I. Bala; I. Yusuf; Reliability Analysis of a Two Dissimilar Unit Cold Standby System with Three Modes Using Kolmogorov Forward Equation Method, Nig. J. Basic Appl. Sci., 21(3) 197-206 (2013).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

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