Keywords:-
Keywords:
Series-Parallel system, Laplace Transform, Inverse Laplace Transform, Reliability
Article Content:-
Abstract
This paper presents a mathematical model for performing reliability and availability analyses of Series- Parallel system with constant human error and common-cause failure rates. The method of Integro-differential equation was used to develop equations for the model to obtain the general expression. The Laplace transform technique was used to obtain the system reliability with constant human error failure rate of the system
References:-
References
1. Balaguruswamy.Y.E(1984): Reliability Engineering, Tata Mc.Graw-Hill Publishing Company Limited, New Delhi
2. Prasad M.S. and Rao K.L.N(1989): Probabilistic analysis of a two unit system with dependent components , International Journal of Management and Systems, Vol 5,No3, Page 62.
3. Dillon B.S and O.C Anude(1993): Common-cause failure analysis of a parallel system with warm standby,Micro electron Realibility,Vol33, No9 PP 1321-1342
4. Dhillon B.Sand Nianfer Yang(1993): Availability of a man-machine system with critical and non-critical human error, Micro electronics Reliability, Vol 33, No.10 PP 1511-1521
5. DhillonB.S(1989):Stochastic Analysis of a parallel system with common-cause failures and critical human errors, Micro electronics Reliability,Vol 29,No.4 pp 627-637
6. Nianfu Yang B.S.Dhillon,July 1995,: Stochastic analysis of a general standby system with constant human error and arbitrary system repair rates, Vol 35, Issue 7,PP 1037-1045.
7. A.Mallikarjuna Reddy and S.Sree Lakshmi(2006):Relibility Analysis of a three-unit series-parallel system subject to Common cause and Human error failures,J.Pure and Applied Physics,vol18,No3,PP171-179.
8. A.Mallikarjuna Reddy ,Bhagya(2015):Evaluation of Reliability of a parallel system with Multi Common cause,environmental failure and critical human errors-General and special cases, International Journal of emerging trends in engineering and development, Issue 5,vol1,ISSN 2249-6149
2. Prasad M.S. and Rao K.L.N(1989): Probabilistic analysis of a two unit system with dependent components , International Journal of Management and Systems, Vol 5,No3, Page 62.
3. Dillon B.S and O.C Anude(1993): Common-cause failure analysis of a parallel system with warm standby,Micro electron Realibility,Vol33, No9 PP 1321-1342
4. Dhillon B.Sand Nianfer Yang(1993): Availability of a man-machine system with critical and non-critical human error, Micro electronics Reliability, Vol 33, No.10 PP 1511-1521
5. DhillonB.S(1989):Stochastic Analysis of a parallel system with common-cause failures and critical human errors, Micro electronics Reliability,Vol 29,No.4 pp 627-637
6. Nianfu Yang B.S.Dhillon,July 1995,: Stochastic analysis of a general standby system with constant human error and arbitrary system repair rates, Vol 35, Issue 7,PP 1037-1045.
7. A.Mallikarjuna Reddy and S.Sree Lakshmi(2006):Relibility Analysis of a three-unit series-parallel system subject to Common cause and Human error failures,J.Pure and Applied Physics,vol18,No3,PP171-179.
8. A.Mallikarjuna Reddy ,Bhagya(2015):Evaluation of Reliability of a parallel system with Multi Common cause,environmental failure and critical human errors-General and special cases, International Journal of emerging trends in engineering and development, Issue 5,vol1,ISSN 2249-6149
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Devi, D. D. S. (2024). Probabilistic Analysis of a Three-Unit Series-Parallel System with Common-Cause, Human Error and Environmental State Failures. International Journal Of Mathematics And Computer Research, 12(01), 3988-3990. https://doi.org/10.47191/ijmcr/v12i1.08