## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Combined technical system

**ABSTRACT**

Technical systems are important systems frequently used by applied sciences. Proper operation of technical systems is very important. Therefore, the statistically calculated reliability of a technical system is an important indicator for the system. Technical systems occur in different structures depending on the connection types of the components that constitute the system. The connection diagrams of components can be encountered in a highly complex situation. In such cases, the reliability of the system is difficult to calculate. There is no single method in the literature to calculate the reliability of a technical system. The methods in the literature differ according to the connection types of the systems. In this study, a method and a matlab program have been proposed for calculating the reliability of k-out-of-n-F systems and consecutive k-out-of-n-F systems. The proposed method can also be used for different connections.

**KEYWORDS**

PAPER SUBMITTED: 2019-02-05

PAPER REVISED: 2019-06-30

PAPER ACCEPTED: 2019-07-25

PUBLISHED ONLINE: 2019-09-15

- Kontoleon, J.M., Reliability Determination of a r-Successive-out-of-n: F System, IEEE Transactions on Reliability, R-29 (1980), 5, p. 437
- Chiang, D.T., Niu, S.C., Reliability of Consecutive-k-out-of-n: F System, IEEE Transactions on Reliability, R-30 (1981), 1, pp. 87-89
- Bollinger, R.C., Salvia, A.A., Consecutive-k-out-of-n: F Networks, IEEE Transactions on Reliability, R-31 (1982), 1, pp. 53-56.
- Derman, C., et al., On the Consecutive-k-out-of-n: F System, IEEE Transactions on Reliability, R-31 (1982), 5, pp. 57-63
- Zuo, M.J., Kuo, W., Design and Performance Analysis of Consecutive-k-out-of-n Structure, Naval Research Logistics, 37 (1990), 2, pp. 203-230
- Chang, G.J., et al., Reliabilities of Consecutive-k Systems, Kluwer, Boston, Mass., USA, 2000
- Kuo, W., Zuo, M.J., Optimal Reliability Modeling: Principles and Applications, John Wiley and Sons, New York, USA, 2003
- Eryilmaz, S., Review of Recent Advances in Reliability of Consecutive k-out-of-n and Related Systems, Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 224 (2010), 3, pp. 225-237
- Gokdere, G., et al., A New Method for Computing the Reliability of Consecutive k-out-ofn: F Systems, Open Physics, 14 (2016), 1, pp. 166-170
- Zhang, Y.L., et al., Reliability Analysis for a Circular Consecutive-2-out-of-n:F Repairable System with Priority in Repair, Reliability Engineering and System Safety, 68 (2000), 2, pp. 113-120
- Yam, R.C. M., et al., A Method for Evaluation of Reliability Indices for Repairable Circular Consecutive-k-out-of-n:F Systems, Reliability Engineering and System Safety, 79 (2003), 1, pp. 1-9
- Navarro, J., Samaniego, F.J, Balakrishnan, N., Bhattacharya, On the Application and Extension of System Signatures in Engineering Reliability, InterScience, 55, (2008), 4, pp. 313-327.
- Chandra, S. and Owen, D. B., On estimating the reliability of a component subject to several different stresses (strengths). Naval Res. Log. Quart., 22 (1975), pp. 31‐40.
- Cramer, E., Inference for stress‐strength models based on Weinman multivariate exponential samples. Commun. Statist. Theory. Meth., 30, (2001), pp. 331‐346.
- Kotz, S., Lumelskii, Y. and Pensky, M., The Stress‐Strength Model and its Generalizations, Theory and Applications, Singapore: World Scientific, 2003.
- Bhattacharyya, G. K. and Johnson, R. A., Estimation of reliability in a multi‐component stress‐strength model, J. Amer. Statist. Assoc., 69, (1974), pp. 966‐970.
- Gokdere, G. and Gurcan, M., Reliability Evaluation of k out of n System used in the Engineering Applications. AKU J. Sci. Eng. 16, (2016), pp. 461-467.
- Finkelstein, M. and Cha, J. H., Stochastic modelling for reliability shocks, burn‐in and heterogeneous populations. London: Springer, 2013.