Reliability of Coherent Systems with Multiple Types of Dependent Components with an Active Redundancy
Keywords:
Coherent system, reliability function, redundancy allocation, active strategy, dependent componentsAbstract
This study is concerned with the problem of redundancy with an active strategy. We consider a coherent system with multiple types of dependent components and investigate its reliability with redundancies at component and system levels. Previous studies have primarily considered a coherent system with a single type of components, so that the lifetimes of original component and its spare are independent. However, the lifetime of original component and its spare are dependent random variables in most practical systems. In this article some comparisons among various stochastic orderings for different situations have been made and the results are presented in details.
References
Boland PJ, El-Neweihi E. Component redundancy vs system redundancy in the hazard rate ordering. IEEE Trans Reliab. 1995; 44(4): 614-619.
Coolen FP, Coolen-Maturi T. Generalizing the signature to systems with multiple types of components. In: Complex systems and dependability. Berlin: Springer; 2013.
Eryilmaz S. Systems composed of two types of nonidentical and dependent components. Naval Res Log. 2015; 62(5): 388-394.
Eryilmaz S. Reliability of systems with multiple types of dependent components. IEEE Trans Reliab.
; 65(2): 1022-1029.
Eryilmaz S. The effectiveness of adding cold standby redundancy to a coherent system at system and component levels. Reliab Eng Syst Saf. 2017; 165: 331-335.
Eryilmaz S. (k1; k2; ; km)-out-of-n system and its reliability. J Comput Appl Math. 2019; 346: 591-598.
Eryilmaz S, Coolen FP, Coolen-Maturi T. Mean residual life of coherent systems consisting of multiple types of dependent components. Naval Res Log. 2018; 65(1): 86-97.
Huang J, Dou X, Kuriki S, Lin GD. Dependence structure of bivariate order statistics with applications to Bayramoglus distributions. J Multivar Anal. 2013; 114: 201-208.
Kavlak KB. Reliability and mean residual life functions of coherent systems in an active redundancy. Naval Res Log. 2017; 64(1): 19-28.
Kuo W, Prasad VR. An annotated overview of system-reliability optimization. IEEE Trans Reliab. 2000; 49(2): 176-187.
Lai C, Xie M, Bairamov I. Dependence and ageing properties of bivariate Lomax distribution. System and Bayesian Reliability: Essays in Honor of Professor Richard E Barlow on His 70th Birthday. World Scientific; 2001. p. 243-256.
Laniado, H. Lillo RE. Allocation policies of redundancies in two-parallel-series and two-series parallel systems. IEEE Trans Reliab. 2014; 63(1): 223-229.
Louie H, Sloughter JM. Probabilistic modeling and statistical characteristics of aggregate wind power. In: Large scale renewable power Generation. Singapore: Springer; 2014.
Misra N, Misra AK, Dhariyal ID. Active redundancy allocations in series systems. Probab Eng Inf Sci. 2011; 25(2): 219-235.
Nanda AK, Hazra NK. Some results on active redundancy at component level versus system level. Oper Res Lett. 2013; 41(3): 241-245.
Romera R, Valds JE, Zequeira RI. Active-redundancy allocation in systems. IEEE Trans Reliab. 2004; 53(3): 313-318.
Zhao P, Chan PS, Ng HKT. Optimal allocation of redundancies in series systems. Eur J Oper Res. 2012; 220(3): 673-683.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
