Analysis of Mean Time to System Failure and Availability of a System with Cold Standby Unit
محورهای موضوعی : Reliability Engineering
Muktar Umar Danjuma
1
(Mathematics Faculty of Science Federal University Dutse Nigeria)
Bashir Yusuf
2
(Department of Mathematics,
Federal University
Dutse, Nigeria)
U.A. Ali
3
(Department of Mathematics,
Federal University
Dutse, Nigeria)
کلید واژه: Failure, accessibility, Repair Rate, and Failure Rate are all terms that are used to describe the Accessibility,
چکیده مقاله :
The reliability of a system with three components, A, B, and C, coupled in series and parallel is investigated in this study. System A is a two-out-of-two linear consecutive system, System B is a one-out-of-one linear consecutive system, and System C is a two-out-of-four linear consecutive system. The failure of system B, or the failure of all system A and C components, can cause the entire system to fail. The system was evaluated using the Markov birth–death process, which resulted in clear expressions for availability and mean time to system breakdown. The effect of failure and repair rates on mean time to failure and availability has been graphically explored based on numerical values presented in a table and graph and assigned to system characteristics to demonstrate the effect of failure and repair rates on mean time to failure and availability, The results reveal that system effectiveness indicators like availability and mean time to system failure rise with repair rates and fall with failure rates.
⎯ Attar, A., Raissi, S and Khalili-Damghani, K.(2016). A simulationbased optimization approach for free distributed repairable multi-state availability-redundancy allocation problems, Reliability Engineering &
System Safety 157, 177-191, https://doi.org/10.1016/j.ress.2016.09.006
⎯ Bhardwaj. R. K. and Malik. S.C.(2011).Stochastic modeling and
performance analysis of a 2(k)-out-of-3 (n) system with inspection
subject to operational restriction. Journal of Reliability and Statistical
Studies . 4 (1) .85-93.
⎯ El-Damcese. M. A. and Temraz. N.S.(2012).Analysis for a parallel
repairable system with different failure modes. Journal of Reliability
and statistical Studies. 5(1),95-106.
⎯ Gupter and Sharma. M, K (1993).Reliability and MTSF Evaluation of a
two duplex unit standby system with two types of repair.
Microelectronics Reliability .33 (3),291-295.
⎯ Gupter, R. and Bansal.S.(1991).Cost analysis of a three unit standby
system subject to random shocks and linearly increasing failure rates
.Reliability Engineering and system safety ,33,249-263.
⎯ Gopalan. M.N. and Subramanyam Naidu (1983).Busy period analysis
of a one server two unit system subject to non-negligible inspection
time, Micro electron .Reliability,23,453-465.
⎯ Guo. H. T. and Yang. X.H.(2008).Automatic creation of Markov
Models for reliability assessment of safety instrumented systems.
Reliability Engineering and System Safety,93(6),829-837.
⎯ Ibrahim and Bashir. (2014).Comparative analysis of some reliability
characteristics between two common cause Failure. International
journal of Advanced statistics and probability,2(1),1-14
⎯ Monika and Mangey(2013).Reliability analysis of a two unit cold
standby system using Markov process. Journal of reliability and
statistical studies.6(2).65-80.
⎯ Nakagawa, T .and Osaki, S.(1975).Stochastic behavior of a priority
standby redundant system with repair. Microelectronics
Reliability.14.p.309-313.
⎯ Pourhassan., M.R., Raissi, S and A Hafezalkotob, A. (2019). Effects of
faulty estimate in component reliability on system designing: a
simulation approach, Journal of Industrial and Systems Engineering 12
(2), 174-185
⎯ Pourhassan,M.R., Raissi, S and fezalkotob, H. A. (2020) A simulation
approach on reliability assessment of complex system subject to
stochastic degradation and random shock., Eksploatacja i Niezawodnosc
– Maintenance and Reliability, 22 (2): 370–379, http://dx.doi.
org/10.17531/ein.2020.2.20.
⎯ sPourhassan,M.R., Raissi, S and Apornak, A. (2021). Modeling multistate system reliability analysis in a power station under fatal and nonfatal shocks: a simulation approach, International Journal of Quality
and Reliability Management, DOI 10.1108/IJQRM-07-2020-0244.
⎯ Seyed, Maryam. And Javid (2017).MTF evaluation for 2-out of 3
redundant repairable systems with common cause and cascade failures
considering fuzzy rates for failure and repair a case study of a centrifugal
water pumping system. Journal of Industrial Engineering international.
14 (2).281-291.
⎯ Subramanyam Naidu . R. and Gopalan . M.N. (1981).Cost benefit
analysis of a one-server two-unit warm standby system subject to
different inspection strategies. Microelectronics. Reliability,21,121-
128.
⎯ Singh. S. K. and Srinivasu. B.(1987).Stochastic analysis of a two unit
cold standby system with preparation time for
repair,Microelectronics.Reliability.27(1),55-60.
⎯ Ram. M. Singh, S. B. and Singh. V.V(2013).Stochastic Analysis of a
Standby with waiting Repair Strategy, IEE Transaction on Systems,
Man and Cybernetics,43(3),698-707.
⎯ Ram. M. and Singh. S. B. (2012) Cost benefit analysis of a system under
head of line repair approach using Gumbel-Hougard family copula .
Journal of reliability and statistical studies. 5(2). 105-118.
⎯ Ram. M. and Singh S.B. (2009). Analysis of reliability characteristics
of a complex engineering system under copula Journal of Reliability and
Statistical Studies . 2(1).91-102.
⎯ Raissi, S and Ebadi, S. (2018). A computer simulation model for
reliability estimation of a complex system, Int. J. Res. Ind. Eng., 7(1)
19–31.
⎯ Uba. Naziru, and Ibrahim.(2013).Reliability analysis of a two dissimilar
unit cold standby system with three modes using Kolmogorov forward
equation method. Nigerian Journal of basic and applied science
.21(3):197-206.
⎯ Yeh. W.C.(2011).An improved method for multistate flow network
reliability with unreliable nodes and a budget constraint based on path
set, IEEE Transactions on Systems, Man, and Cybernetics-Part A:
Systems and Humans.41(2).350-355.
