IEC 61508 standard could be used in the evaluation of safety of the k-out-of-n technical systems, including elements
which may remain in one out of four different reliability states. Such a model leads to the huge complexity of analytical calculations and the limitations of its practical application possibilities. Therefore, a computerised method using
Markov processes for estimating the reliability of k-out-of-n systems was developed. The algorithmization of the applied
computational procedure was performed. It allowed one to analyse systems including a huge number of elements. An
algorithm that may be applied for complex k-out-of-n systems was developed and used for exemplary calculations.
The developed method was verified by comparing the obtained results with the ones obtained from analytical method
as well as simulation method. The compatibility of results obtained in the two methods confirms the correctness of the
developed procedure and proposed computer program which now offers the possibility of doing calculations for k-outof-n structures with more than three elements required for the system’s proper functioning and significantly accelerates
calculations. Reliability and safety are priorities in the operation of technical systems. This decides of the applicability
of the calculation methods described. The operational safety aspects are of particular significance in cases when the
occurrence of a failure is a hazard to people’s health and life, ecological risk or considerable financial loss.
REFERENCES(14)
1.
Andrzejczak K. Application of the order statistics to the fault tolerant systems. Journal of KONBiN 2016; 2(38): 77-97, https://doi. org/10.1515/jok-2016-0019.
Andrzejczak K, Selech J. Flexible prediction of the vehicle component damage. Proceedings of 22nd International Scientific Conference. Transport Means 2018: 987-990.
Andrzejczak K, Młyńczak M, Selech J. Poisson-distributed failures in the predicting of the cost of corrective maintenance. Eksploatacja i Niezawodnosc – Maintenance and Reliability 2018; 20 (4): 602-609, https://doi.org/10.17531/ein.2....
Chebila M, Innal F. Generalized analytical expressions for safety instrumented systems' performance measures: PFDavg and PFH. Journal of Loss Prevention in the Process Industries 2015; 34: 167-176, https://doi.org/10.1016/j.jlp.....
Jahanian H. Generalizing PFD formulas of IEC 61508 for KooN configurations. ISA Transactions 2015; 55: 168-174, https://doi.org/10.1016/j. isatra.2014.07.011.
Johnson P E. Monte Carlo Analysis in Academic Research. The Oxford Handbook of Quantitative Methods in Psychology. Vol. 1, Oxford University Press, 2013, https://doi.org/10.1093/oxford....
Manzini R, Regattieri A, Pham H, Ferrari E. Maintenance for Industrial Systems. Springer-Verlag Gmbh, 2010, https://doi.org/10.1007/978- 1-84882-575-8.
Młynarski S, Pilch R, Kaczor G, Smolnik M, Szkoda M, Szybka J. Wpływ wybranych czynników na poziom nienaruszalności bezpieczeństwa (SIL). Journal of KONBiN 2015; 35(3): 85-98.
Młynarski S, Pilch R, Smolnik M, Szkoda M, Szybka J. Ocena poziomu nienaruszalności bezpieczeństwa (SIL) wg normy EN 61508 oraz z zastosowaniem procesów Markowa. Journal of KONBiN 2015; 35(3): 73-84, https://doi.org/10.1515/jok-20....
Pilch R. Extending the Possibilities of Quantitative Determination of SIL – a Procedure Based on IEC 61508 and the Markov Model with Common Cause Failures. Quality and Reliability Engineering International 2017; 33: 337-346, https://doi.org/10.1002/qre.20....
Tang S, Guo X, Sun X, Xue H, Zhou Z. Unavailability analysis for k-out-of-n: G systems with multiple failure modes based on microMarkov models. Mathematical Problems in Engineering: 2014; article ID 740936, https://doi.org/10.1155/2014/7....
Simulation-Based Forecasting of the Reliability of Systems Consisting of Elements Described by a Number of Failure Probability Distributions Stanisław Młynarski, Robert Pilch, Maksymilian Smolnik, Jan Szybka, Grzegorz Wiązania, Jakub Lewandowski Journal of KONBiN
Reliability assessment of wind turbine generators by fuzzy universal generating function Tudi Huang, Tangfan Xiahou, Yan-Feng Li, Hua-Ming Qian, Yu Liu, Hong-Zhong Huang Eksploatacja i Niezawodnosc - Maintenance and Reliability
A method for evaluating and upgrading systems with parallel structures with forced redundancy Edward Michlowicz, Jerzy Wojciechowski Eksploatacja i Niezawodnosc - Maintenance and Reliability
A Simulation Model for Regenerated Objects with Multiparameter Evaluation of Technical Condition Reliability Estimation Stanisław Młynarski, Robert Pilch, Maksymilian Smolnik, Jan Szybka, Grzegorz Wiązania Journal of KONBiN
A reliability model for load-sharing k-out-of-n systems subject to soft and hard failures with dependent workload and shock effects Haiyang Che, Shengkui Zeng, Jianbin Guo Eksploatacja i Niezawodność – Maintenance and Reliability
The Concept of Reliability Measure of Recuperator in Spray Booth Piotr Nikończuk, Włodzimierz Rosochacki Eksploatacja i Niezawodność – Maintenance and Reliability
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