Computational Analysis of Compound Redundant System with
Respect to Reliability Analysis

Sonendra Kumar Gupta; Dr. Rekha Choudhari

doi:https://doi.org/10.14445/22315373/IJMTT-V22P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 22 | Number 1 | Year 2015 | Article Id. IJMTT-V22P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V22P503

Computational Analysis of Compound Redundant System with Respect to Reliability Analysis

Sonendra Kumar Gupta, Dr. Rekha Choudhari

Abstract

This paper presents an overview of results related to the computational analysis of compound redundant system under the head-of-line repair policy. Suppose a compound system consisting of two subsystems designated as ‘1’ and ‘2’ connected in series. Subsystem ‘1’ consists of N nonidentical units in series, while the subsystem ‘2’ consists of three identical components in parallel redundancy.

Keywords

Reliability theory, stochastic processes, Laplace transforms and Cost profit function.

References

[1] Carpaneto, E. and Chicco, G. (2004). Evaluation of the probability density functions of distributed system reliability indices with a characteristic functions-based approach. IEEE Transactions on Power Systems, 19(2), p.724-734.
[2] Bae, I.-S. and Kim, J.-O. (2007). Reliability evaluation of distributed generation based on operation ode. IEEE Transactions on Power Systems, 22(2), p. 785-790.
[3] Agarwal, S.C., Mamta S., and Shikha, B. (2010). Reliability characteristic of cold-standby redundant system, International Journal of Research and Reviews in Applied Sciences, 3(2), p. 193-199.
[4] Agnihotri, R. K., Khare, A., and Jain, S. (2008). Reliability analysis of a system of boiler used in eadymade garment industry, Journal of Reliability and Statistical Studies, 1(1), p. 33-41
[5] Nelsen, R. B. (2006). An introduction to copulas.2nd edn., New York, Springer.
[6]. Pandey. S. B., Singh, S. B. and Sharma, S. (2008). Reliability and cost analysis of a system with multiple components using copula, Journal of Reliability and Statistical Studies, 1(1), p. 25-32.

Citation :

Sonendra Kumar Gupta, Dr. Rekha Choudhari, "Computational Analysis of Compound Redundant System with Respect to Reliability Analysis," International Journal of Mathematics Trends and Technology (IJMTT), vol. 22, no. 1, pp. 17-20, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V22P503