Reliability of General System Using OM Distribution Function

Maryam Mohiuddin¹ , R. Kannan²

Section:Research Paper, Product Type: Journal-Paper
Vol.8 , Issue.5 , pp.1-5, Oct-2021

Online published on Oct 31, 2021

Copyright © Maryam Mohiuddin, R. Kannan . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

Abstract :
Reliability of the Systems is the main concern of the twenty century. Various authors have been studied the different reliability theories to know the design system safety. Safety of the system is important in the current scenario. In this study, we find the different set of components that provide the maximum system reliability. We analyzed the Parallel-Series and Series-Parallel system in order to know the effect on reliability by adding the components and subsystem to the system. The reliability of the Series-Parallel system is increased by increasing the number of components. The system reliability goes through increasing number of sub-systems to the system. In case of a parallel-series system the system reliability declines with the addition of components to the system and increases with the increase in the number of sub-systems.

Key-Words / Index Term :
Series-parallel system, Parallel-series system, Reliability analysis

References :
[1] D. Beraha, K. B. Misra, “Reliability Optimization through Random Search Algorithms,” Micro-electron Reliability, 13(4), pp. 295-297, 1974.
[2] K. B. Misra, “Reliability Optimization through Sequential Simple Search,” International Journal of Control, 18(1), pp. 173-183, 1973.
[3] K. Deep, Dipti, “Reliability Optimization of Complex Systems through C-SOMGA,” Journal of Information and Computing Science, 4(3), pp. 163-172, 2009.
[4] C. Mohan, K. Shanker, “Reliability Optimization of Complex Systems using Random Search Technique,” Microelectronics and Reliability, 28(4), pp. 513-518, 1988.
[5] A. M. Sarhan, “Reliability Equivalence with a Basic Series/Parallel System,” Applied Mathematics and Computation, 132 (1), pp. 115-133, 2002.
[6] G. Ezzati, A. Rasouli, “Evaluating system reliability using linear-exponential distribution function,” International Journal of Advanced Statistics and Probability, 3(1), pp. 15-24, 2015.
[7] G. Ezzati, M. Mammadov, S. Kulkarni, “A New Reliability Analysis Method based on the Conjugate Gradient Direction,” Structural and Multidisciplinary Optimization, 2014.
[8] H. S. Migdadi, M. S. Al-Batah, “Testing Reliability Equivalence Factors of a Series-Parallel Systems in Burr Type X Distribution,” British Journal of Mathematics & Computer Science, 4(18), pp. 2618-2629, 2014.
[9] M. A. Safar, D. F. Percy, “Reliability equivalence factors for a series–parallel system of components with exponentiated Weibull lifetimes,” IMA Journal of Management Mathematics, pp. 1-20, 2015.
[10] A. M. Sarhan, “Reliability equivalence of independent and non-identical components series systems,” Journal of Reliability Engineering and System Safety, 67(3), pp. 293-300, 2000.
[11] A. M. Sarhan, “Reliability equivalence with a basic series/parallel system,” Journal of Applied Mathematics and Computation, 132(1), pp. 115–133, 2002.
[12] A. M. Sarhan, “Reliability equivalence factors of a bridge network system,” International Journal of Reliability and Applications, 5(2), pp. 81-103, 2004.
[13] A. M. Sarhan, A. Mustafa, “Reliability equivalence of a series system consists of n independent and non-identical components,” International Journal of Reliability and Applications, 7(2), pp. 111-125, 2006.
[14] A. M. Sarhan, L. Tadj, A. Al-khedhairi, A. Mustafa, “Equivalence factors of a parallel-series system,” Journal of Applied Sciences, 10, pp. 219-230, 2008.
[15] A. M. Sarhan, “Reliability equivalence factors of a general series-parallel system,” Journal of Reliability Engineering and System Safety, 94(2), pp. 229-236, 2009.
[16] Y. Xia, G. Zhang, “Reliability equivalence factors in Gamma distribution,” Journal of Applied Mathematics and Computation, 187(2), pp. 567-573, 2007.
[17] M. A. El-Damcese, “Reliability equivalence factors of a series-parallel system in Weibull distribution,” International Journal of Mathematical Forum, 4(19), pp. 941- 951, 2009.
[18] A. Mustafa, “Reliability equivalence factors for some systems with mixture Weibull failure rates,” African Journal of Mathematics and Computer Science Research, 2(1), pp. 6-13, 2009.
[19] A. Mustafa, A. El-Faheem, “Reliability equivalence factors of a system with mixture of n independent and non-identical lifetimes with delay time,” Journal of the Egyptian Mathematical Society, 22, pp. 96-101, 2014.
[20] M. A. El-Damcese, D. S. Ayoub, “Reliability equivalence factors of a parallel system in two-dimensional distribution,” Journal of Reliability and Statistical Studies, 4(2), pp. 33-42, 2011.
[21] R. Shanker, K. K. Shukla, “OM distribution with properties and application,” RT&A, 4(51), pp. 13, 2018.
[22] Maryam Mohiuddin, R. Kannan, Shabir A. Dar, "Improving the Reliability of System by Standby Redundancy Method," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.8, Issue.1, pp.76-82, 2021.