Redundancy optimization for series and parallel systems exposed to random shocks

被引:2
作者
Ling X. [1 ]
Zhang Y. [1 ]
Li P. [2 ]
机构
[1] College of Sciences, Hebei University of Science and Technology, Shijiazhuang
[2] School of Business, Hebei Normal University, Shijiazhuang
基金
中国国家自然科学基金;
关键词
Majorization order; Parallel (series) redundancy; Reliability; Shock model;
D O I
10.23940/ijpe.19.05.p19.14271435
中图分类号
学科分类号
摘要
This paper is devoted to redundancy allocation in series (parallel) systems subject to random shocks. The non-homogeneous Poisson process is used to describe the shock process, and redundant series (parallel) system reliability is given. The majorization order allows for stochastic comparison between random lifetimes of systems under two redundancy allocation policies. Then, the redundancy allocation policy for maximizing (minimizing) the series (parallel) system reliability is presented. Finally, the effect of the number of subsystems on system reliability is analyzed. © 2019 Totem Publisher, Inc. All rights reserved.
引用
收藏
页码:1427 / 1435
页数:8
相关论文
共 25 条
[1]  
Boland P.J., El-Neweihi E., Proschan F., Stochastic order for redundancy allocation in series and parallel systems, Advances in Applied Probability, 24, 1, pp. 161-171, (1992)
[2]  
Shaked M., Shanthikumar J.G., Optimal allocation of resources to nodes of parallel and series systems, Advances in Applied Probability, 24, 4, pp. 894-914, (1992)
[3]  
Singh H., Misra N., On redundancy allocations in systems, Journal of Applied Probability, 31, 4, pp. 1004-1014, (1994)
[4]  
Li X., Hu X., Some new stochastic comparisons for redundancy allocations in series and parallel systems, Statistics and Probability Letters, 78, 18, pp. 3388-3394, (2008)
[5]  
Misra N., Dhariyal I.D., Gupta N., Optimal allocation of active spares in series systems and comparison of component and system redundancies, Journal of Applied Probability, 46, 1, pp. 19-34, (2009)
[6]  
Hu T., Wang Y., Optimal allocation of active redundancies in r-out-of-n systems, Journal of Statistical Planning and Inference, 139, pp. 3733-3737, (2009)
[7]  
Li X., Ding W., Optimal allocation of active redundancies to k-out-of-n systems with heterogeneous components, Journal of Applied Probability, 47, 1, pp. 254-263, (2010)
[8]  
Ding W., Li X., The optimal allocation of active redundancies to k-out-of-n systems with respect to hazard rate ordering, Journal of Statistical Planning and Inference, 142, 7, pp. 1878-1887, (2012)
[9]  
Valdes J.E., Arango G., Zequeira R.I., Brito G., Some stochastic comparisons in series systems with active redundancy, Statistics and Probability Letters, 79, 11, pp. 945-949, (2010)
[10]  
Misra N., Misra A.K., Dhariyal I.D., Standby redundancy allocations in series and parallel systems, Journal of Applied Probability, 48, 1, pp. 43-55, (2011)