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2021 | OriginalPaper | Chapter

1. Introduction

Authors : Prof. Rui Peng, Dr. Qingqing Zhai, Prof. Jun Yang

Published in: Reliability Modelling and Optimization of Warm Standby Systems

Publisher: Springer Singapore

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Abstract

Reliability is an important quality characteristic. With the development of modern society and economy, people put forward higher and higher requirements for product reliability.

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Literature
1.
go back to reference Singh S, Agrafiotis G. Stochastic analysis of a two-unit cold standby system subject to maximum operation and repair time [J]. Microelectronics Reliability, 1995, 35 (12): 1489–93. Singh S, Agrafiotis G. Stochastic analysis of a two-unit cold standby system subject to maximum operation and repair time [J]. Microelectronics Reliability, 1995, 35 (12): 1489–93.
2.
go back to reference Kumar S, Kumar D, Mehta N. Behavioural analysis of shell gasification and carbon recovery process in a urea fertilizer plant [J]. Microelectronics Reliability, 1996, 36 (5): 671–3. Kumar S, Kumar D, Mehta N. Behavioural analysis of shell gasification and carbon recovery process in a urea fertilizer plant [J]. Microelectronics Reliability, 1996, 36 (5): 671–3.
3.
go back to reference Pandey D, Jacob M, Yadav J. Reliability analysis of a powerloom plant with cold standby for its strategic unit [J]. Microelectronics Reliability, 1996, 36 (1): 115–9. Pandey D, Jacob M, Yadav J. Reliability analysis of a powerloom plant with cold standby for its strategic unit [J]. Microelectronics Reliability, 1996, 36 (1): 115–9.
4.
go back to reference Mokaddis G, Tawfek M, Elhssia S. Analysis of a two-dissimilar unit cold standby redundant system subject to inspection and random change in units [J]. Microelectronics Reliability, 1997, 37 (2): 329–34. Mokaddis G, Tawfek M, Elhssia S. Analysis of a two-dissimilar unit cold standby redundant system subject to inspection and random change in units [J]. Microelectronics Reliability, 1997, 37 (2): 329–34.
5.
go back to reference 王冠军, 张元林. 有优先维修权和优先使用权的冷储备系统的几何过程模型 [J]. 经济数学, 2005, 22 (1): 42–9. 王冠军, 张元林. 有优先维修权和优先使用权的冷储备系统的几何过程模型 [J]. 经济数学, 2005, 22 (1): 42–9.
6.
go back to reference 唐应辉, 刘艳. 修理工单重休假且不能修复如新的冷储备可修系统 [J]. 数学的实践与认识, 2008, 38 (2): 47–52. 唐应辉, 刘艳. 修理工单重休假且不能修复如新的冷储备可修系统 [J]. 数学的实践与认识, 2008, 38 (2): 47–52.
7.
go back to reference 余玅妙, 唐应辉, 陈胜兰. 离散时间单重休假冷储备系统的可靠性分析 [J]. 计算机工程与科学, 2008, 30 (10): 108–12. 余玅妙, 唐应辉, 陈胜兰. 离散时间单重休假冷储备系统的可靠性分析 [J]. 计算机工程与科学, 2008, 30 (10): 108–12.
8.
go back to reference 梁小林, 莫兰英, 唐小伟. 具有修理工休假的冷备退化可修系统的研究 [J]. 系统工程学报, 2010, 25 (3): 426–32. 梁小林, 莫兰英, 唐小伟. 具有修理工休假的冷备退化可修系统的研究 [J]. 系统工程学报, 2010, 25 (3): 426–32.
9.
go back to reference Azaron A, Katagiri H, Sakawa M, et al. Reliability function of a class of time-dependent systems with standby redundancy [J]. European Journal of Operational Research, 2005, 164 (2): 378–86. Azaron A, Katagiri H, Sakawa M, et al. Reliability function of a class of time-dependent systems with standby redundancy [J]. European Journal of Operational Research, 2005, 164 (2): 378–86.
10.
go back to reference Azaron A, Katagiri H, Kato K, et al. Reliability evaluation of multi-component cold-standby redundant systems [J]. Applied Mathematics and Computation, 2006, 173 (1): 137–49. Azaron A, Katagiri H, Kato K, et al. Reliability evaluation of multi-component cold-standby redundant systems [J]. Applied Mathematics and Computation, 2006, 173 (1): 137–49.
11.
go back to reference Wang C, Xing L, Amari S V. A fast approximation method for reliability analysis of cold-standby systems [J]. Reliability Engineering & System Safety, 2012, 106 (119–26. Wang C, Xing L, Amari S V. A fast approximation method for reliability analysis of cold-standby systems [J]. Reliability Engineering & System Safety, 2012, 106 (119–26.
12.
go back to reference Eryilmaz S, Tank F. On reliability analysis of a two-dependent-unit series system with a standby unit [J]. Applied Mathematics and Computation, 2012, 218 (15): 7792–7. Eryilmaz S, Tank F. On reliability analysis of a two-dependent-unit series system with a standby unit [J]. Applied Mathematics and Computation, 2012, 218 (15): 7792–7.
13.
go back to reference Kuo W, Zuo M J. Optimal Reliability Modeling: Principles and Applications [M]. Hoboken: John Wiley & Sons, 2003. Kuo W, Zuo M J. Optimal Reliability Modeling: Principles and Applications [M]. Hoboken: John Wiley & Sons, 2003.
14.
go back to reference Wu J S, Chen R J. An algorithm for computing the reliability of weighted-k-out-of-n systems [J]. IEEE Transactions on Reliability, 1994, 43 (2): 327–8. Wu J S, Chen R J. An algorithm for computing the reliability of weighted-k-out-of-n systems [J]. IEEE Transactions on Reliability, 1994, 43 (2): 327–8.
15.
go back to reference Levitin G, Lisnianski A. Reliability optimization for weighted voting system [J]. Reliability Engineering & System Safety, 2001, 71 (2): 131–8. Levitin G, Lisnianski A. Reliability optimization for weighted voting system [J]. Reliability Engineering & System Safety, 2001, 71 (2): 131–8.
16.
go back to reference Li W, Zuo M J. Reliability evaluation of multi-state weighted k-out-of-n systems [J]. Reliability Engineering & System Safety, 2008, 93 (1): 160–7. Li W, Zuo M J. Reliability evaluation of multi-state weighted k-out-of-n systems [J]. Reliability Engineering & System Safety, 2008, 93 (1): 160–7.
17.
go back to reference Eryilmaz S. On reliability analysis of a k-out-of-n system with components having random weights [J]. Reliability Engineering & System Safety, 2013, 109 (0): 41–4. Eryilmaz S. On reliability analysis of a k-out-of-n system with components having random weights [J]. Reliability Engineering & System Safety, 2013, 109 (0): 41–4.
18.
go back to reference Huang J, Zuo M J, Wu Y. Generalized multi-state k-out-of-n:G systems [J]. IEEE Transactions on Reliability, 2000, 49 (1): 105–11. Huang J, Zuo M J, Wu Y. Generalized multi-state k-out-of-n:G systems [J]. IEEE Transactions on Reliability, 2000, 49 (1): 105–11.
19.
go back to reference Tian Z, Zuo M J, Yam R C M. Multi-state k-out-of-n systems and their performance evaluation [J]. IIE Transactions, 2008, 41 (1): 32–44. Tian Z, Zuo M J, Yam R C M. Multi-state k-out-of-n systems and their performance evaluation [J]. IIE Transactions, 2008, 41 (1): 32–44.
20.
go back to reference Coit D W, Chatwattanasiri N, Wattanapongsakorn N, et al. Dynamic k-out-of-n system reliability with component partnership [J]. Reliability Engineering & System Safety, 2015, 138: 82–92. Coit D W, Chatwattanasiri N, Wattanapongsakorn N, et al. Dynamic k-out-of-n system reliability with component partnership [J]. Reliability Engineering & System Safety, 2015, 138: 82–92.
21.
go back to reference Wang K H, Kuo C C. Cost and probabilistic analysis of series systems with mixed standby components [J]. Applied Mathematical Modelling, 2000, 24 (12): 957–67. Wang K H, Kuo C C. Cost and probabilistic analysis of series systems with mixed standby components [J]. Applied Mathematical Modelling, 2000, 24 (12): 957–67.
22.
go back to reference Wang K H, Ke J C. Probabilistic analysis of a repairable system with warm standbys plus balking and reneging [J]. Applied Mathematical Modelling, 2003, 27 (4): 327–36. Wang K H, Ke J C. Probabilistic analysis of a repairable system with warm standbys plus balking and reneging [J]. Applied Mathematical Modelling, 2003, 27 (4): 327–36.
23.
go back to reference Xu H, Guo W. Asymptotic stability of a parallel repairable system with warm standby [J]. International Journal of Systems Science, 2004, 35 (12): 685–92. Xu H, Guo W. Asymptotic stability of a parallel repairable system with warm standby [J]. International Journal of Systems Science, 2004, 35 (12): 685–92.
24.
go back to reference Wang K H, Lai Y J, Ke J B. Reliability and sensitivity analysis of a system with warm standbys and a repairable service station [J]. International Journal of Operations Research, 2004, 1 (1): 61–70. Wang K H, Lai Y J, Ke J B. Reliability and sensitivity analysis of a system with warm standbys and a repairable service station [J]. International Journal of Operations Research, 2004, 1 (1): 61–70.
25.
go back to reference Wang K H, Dong W L, Ke J B. Comparison of reliability and the availability between four systems with warm standby components and standby switching failures [J]. Applied Mathematics and Computation, 2006, 183 (2): 1310–22. Wang K H, Dong W L, Ke J B. Comparison of reliability and the availability between four systems with warm standby components and standby switching failures [J]. Applied Mathematics and Computation, 2006, 183 (2): 1310–22.
26.
go back to reference Zhang T, Xie M, Horigome M. Availability and reliability of k-out-of- (M + N):G warm standby systems [J]. Reliability Engineering & System Safety, 2006, 91 (4): 381–7. Zhang T, Xie M, Horigome M. Availability and reliability of k-out-of- (M + N):G warm standby systems [J]. Reliability Engineering & System Safety, 2006, 91 (4): 381–7.
27.
go back to reference Wang K H, Ke J B, Ke J C. Profit analysis of the M/M/R machine repair problem with balking, reneging, and standby switching failures [J]. Computers & Operations Research, 2007, 34 (3): 835–47. Wang K H, Ke J B, Ke J C. Profit analysis of the M/M/R machine repair problem with balking, reneging, and standby switching failures [J]. Computers & Operations Research, 2007, 34 (3): 835–47.
28.
go back to reference Wang K H, Ke J B, Lee W C. Reliability and sensitivity analysis of a repairable system with warm standbys and R unreliable service stations [J]. The International Journal of Advanced Manufacturing Technology, 2007, 31 (11): 1223–32. Wang K H, Ke J B, Lee W C. Reliability and sensitivity analysis of a repairable system with warm standbys and R unreliable service stations [J]. The International Journal of Advanced Manufacturing Technology, 2007, 31 (11): 1223–32.
29.
go back to reference Shen Z, Hu X, Fan W. Exponential asymptotic property of a parallel repairable system with warm standby under common-cause failure [J]. Journal of Mathematical Analysis and Applications, 2008, 341 (1): 457–66. Shen Z, Hu X, Fan W. Exponential asymptotic property of a parallel repairable system with warm standby under common-cause failure [J]. Journal of Mathematical Analysis and Applications, 2008, 341 (1): 457–66.
30.
go back to reference Yuan L, Meng X Y. Reliability analysis of a warm standby repairable system with priority in use [J]. Applied Mathematical Modelling, 2011, 35 (9): 4295–303. Yuan L, Meng X Y. Reliability analysis of a warm standby repairable system with priority in use [J]. Applied Mathematical Modelling, 2011, 35 (9): 4295–303.
31.
go back to reference Ke J C, Wu C H. Multi-server machine repair model with standbys and synchronous multiple vacation [J]. Computers & Industrial Engineering, 2012, 62 (1): 296–305. Ke J C, Wu C H. Multi-server machine repair model with standbys and synchronous multiple vacation [J]. Computers & Industrial Engineering, 2012, 62 (1): 296–305.
32.
go back to reference Wang K H, Yen T C, Jian J J. Reliability and sensitivity analysis of a repairable system with imperfect coverage under service pressure condition [J]. Journal of Manufacturing Systems, 2013, 32 (2): 357–63. Wang K H, Yen T C, Jian J J. Reliability and sensitivity analysis of a repairable system with imperfect coverage under service pressure condition [J]. Journal of Manufacturing Systems, 2013, 32 (2): 357–63.
33.
go back to reference Wang K H, Liou C D, Lin Y H. Comparative analysis of the machine repair problem with imperfect coverage and service pressure condition [J]. Applied Mathematical Modelling, 2013, 37 (5): 2870–80. Wang K H, Liou C D, Lin Y H. Comparative analysis of the machine repair problem with imperfect coverage and service pressure condition [J]. Applied Mathematical Modelling, 2013, 37 (5): 2870–80.
34.
go back to reference Ke J C, Hsu Y L, Liu T H, et al. Computational analysis of machine repair problem with unreliable multi-repairmen [J]. Computers & Operations Research, 2013, 40 (3): 848–55. Ke J C, Hsu Y L, Liu T H, et al. Computational analysis of machine repair problem with unreliable multi-repairmen [J]. Computers & Operations Research, 2013, 40 (3): 848–55.
35.
go back to reference Hsu Y L, Ke J C, Liu T H, et al. Modeling of multi-server repair problem with switching failure and reboot delay and related profit analysis [J]. Computers & Industrial Engineering, 2014, 69 (3): 21–8. Hsu Y L, Ke J C, Liu T H, et al. Modeling of multi-server repair problem with switching failure and reboot delay and related profit analysis [J]. Computers & Industrial Engineering, 2014, 69 (3): 21–8.
36.
go back to reference Mahmoud M, Esmail M. Stochastic analysis of a two-unit warm standby system with slow switch subject to hardware and human error failures [J]. Microelectronics Reliability, 1998, 38 (10): 1639–44. Mahmoud M, Esmail M. Stochastic analysis of a two-unit warm standby system with slow switch subject to hardware and human error failures [J]. Microelectronics Reliability, 1998, 38 (10): 1639–44.
37.
go back to reference Wang K H, Chiu L W. Cost benefit analysis of availability systems with warm standby units and imperfect coverage [J]. Applied Mathematics and Computation, 2006, 172 (2): 1239–56. Wang K H, Chiu L W. Cost benefit analysis of availability systems with warm standby units and imperfect coverage [J]. Applied Mathematics and Computation, 2006, 172 (2): 1239–56.
38.
go back to reference Hsu Y L, Ke J C, Liu T H. Standby system with general repair, reboot delay, switching failure and unreliable repair facility-A statistical standpoint [J]. Mathematics and Computers in Simulation, 2011, 81 (11): 2400–13. Hsu Y L, Ke J C, Liu T H. Standby system with general repair, reboot delay, switching failure and unreliable repair facility-A statistical standpoint [J]. Mathematics and Computers in Simulation, 2011, 81 (11): 2400–13.
39.
go back to reference Mokaddis G, Tawfek M. Stochastic analysis of a two-dissimilar unit warm standby redundant system with two types of repair facilities [J]. Microelectronics Reliability, 1995, 35 (12): 1467–72. Mokaddis G, Tawfek M. Stochastic analysis of a two-dissimilar unit warm standby redundant system with two types of repair facilities [J]. Microelectronics Reliability, 1995, 35 (12): 1467–72.
40.
go back to reference Pérez-Ocón R, Montoro-Cazorla D. A multiple warm standby system with operational and repair times following phase-type distributions [J]. European Journal of Operational Research, 2006, 169 (1): 178–88. Pérez-Ocón R, Montoro-Cazorla D. A multiple warm standby system with operational and repair times following phase-type distributions [J]. European Journal of Operational Research, 2006, 169 (1): 178–88.
41.
go back to reference El-Damcese M. Analysis of warm standby systems subject to common-cause failures with time varying failure and repair rates [J]. Applied Mathematical Sciences, 2009, 3 (18): 853–60. El-Damcese M. Analysis of warm standby systems subject to common-cause failures with time varying failure and repair rates [J]. Applied Mathematical Sciences, 2009, 3 (18): 853–60.
42.
go back to reference Ke J C, Wang K H. The reliability analysis of balking and reneging in a repairable system with warm standbys [J]. Quality and Reliability Engineering International, 2002, 18 (6): 467–78. Ke J C, Wang K H. The reliability analysis of balking and reneging in a repairable system with warm standbys [J]. Quality and Reliability Engineering International, 2002, 18 (6): 467–78.
43.
go back to reference Jain M, Maheshwari S. N-policy for a machine repair system with spares and reneging [J]. Applied Mathematical Modelling, 2004, 28 (6): 513–31. Jain M, Maheshwari S. N-policy for a machine repair system with spares and reneging [J]. Applied Mathematical Modelling, 2004, 28 (6): 513–31.
44.
go back to reference 胡兆红, 陈希镇. 两不同型部件温贮备可修系统的可靠性分析 [J]. 温州大学学报 (自然科学版), 2009, 30 (4): 44–8. 胡兆红, 陈希镇. 两不同型部件温贮备可修系统的可靠性分析 [J]. 温州大学学报 (自然科学版), 2009, 30 (4): 44–8.
45.
go back to reference 刘海涛, 孟宪云, 李芳, 等. 两个不同型部件温贮备系统的几何过程模型 [J]. 系统工程, 2010, 28 (9): 103–7. 刘海涛, 孟宪云, 李芳, 等. 两个不同型部件温贮备系统的几何过程模型 [J]. 系统工程, 2010, 28 (9): 103–7.
46.
go back to reference 杨勇, 张静文. 两个不同型多状态部件温贮备退化系统的几何过程模型 [J]. 西南师范大学学报 (自然科学版), 2013, 38 (7): 24–30. 杨勇, 张静文. 两个不同型多状态部件温贮备退化系统的几何过程模型 [J]. 西南师范大学学报 (自然科学版), 2013, 38 (7): 24–30.
47.
go back to reference 李祚东. 贮备系统的可靠性模型 [J]. 质量与可靠性, 2004, 19 (6): 29–33. 李祚东. 贮备系统的可靠性模型 [J]. 质量与可靠性, 2004, 19 (6): 29–33.
48.
go back to reference She J, Pecht M. Reliability of a k-out-of-n warm-standby system [J]. IEEE Transactions on Reliability, 1992, 41 (1): 72–5. She J, Pecht M. Reliability of a k-out-of-n warm-standby system [J]. IEEE Transactions on Reliability, 1992, 41 (1): 72–5.
49.
go back to reference 李振, 张德素, 孙新利. 储备系统可靠度的归一化算法 [J]. 质量与可靠性, 2007, 22 (6): 13–5. 李振, 张德素, 孙新利. 储备系统可靠度的归一化算法 [J]. 质量与可靠性, 2007, 22 (6): 13–5.
50.
go back to reference Amari S V, Pham H, Misra R B. Reliability characteristics of k-out-of-n warm standby systems [J]. IEEE Transactions on Reliability, 2012, 61 (4): 1007–18. Amari S V, Pham H, Misra R B. Reliability characteristics of k-out-of-n warm standby systems [J]. IEEE Transactions on Reliability, 2012, 61 (4): 1007–18.
51.
go back to reference Amari S V, Dill G. A new method for reliability analysis of standby systems [A]. Annual Reliability and Maintainability Symposium (RAMS2009), Fort Worth, Texas, USA, 2009 [C]. Piscataway, NJ: IEEE, 417–22. Amari S V, Dill G. A new method for reliability analysis of standby systems [A]. Annual Reliability and Maintainability Symposium (RAMS2009), Fort Worth, Texas, USA, 2009 [C]. Piscataway, NJ: IEEE, 417–22.
52.
go back to reference Tannous O, Xing L, Dugan J. Reliability analysis of warm standby systems using sequential BDD [A]. Annual Reliability and Maintainability Symposium (RAMS2011), Lake Buena Vista, Florida, USA,2011 [C]. Piscataway, NJ: IEEE, 1–7. Tannous O, Xing L, Dugan J. Reliability analysis of warm standby systems using sequential BDD [A]. Annual Reliability and Maintainability Symposium (RAMS2011), Lake Buena Vista, Florida, USA,2011 [C]. Piscataway, NJ: IEEE, 1–7.
53.
go back to reference Tannous O, Xing L. Efficient analysis of warm standby systems using central limit theorem [A]. Annual Reliability and Maintainability Symposium (RAMS2012),2012 [C]. Piscataway, NJ: IEEE, 1–6. Tannous O, Xing L. Efficient analysis of warm standby systems using central limit theorem [A]. Annual Reliability and Maintainability Symposium (RAMS2012),2012 [C]. Piscataway, NJ: IEEE, 1–6.
54.
go back to reference Levitin G, Amari S V. Approximation algorithm for evaluating time-to-failure distribution of k-out-of-n system with shared standby elements [J]. Reliability Engineering & System Safety, 2010, 95 (4): 396–401. Levitin G, Amari S V. Approximation algorithm for evaluating time-to-failure distribution of k-out-of-n system with shared standby elements [J]. Reliability Engineering & System Safety, 2010, 95 (4): 396–401.
55.
go back to reference Cha J H, Mi J, Yun W Mo Ydelling a general standby system and evaluation of its performance [J]. Applied Stochastic Models in Business and Industry, 2008, 24 (2): 159–69. Cha J H, Mi J, Yun W Mo Ydelling a general standby system and evaluation of its performance [J]. Applied Stochastic Models in Business and Industry, 2008, 24 (2): 159–69.
56.
go back to reference Li X, Zhang Z, Wu Y. Some new results involving general standby systems [J]. Applied Stochastic Models in Business and Industry, 2009, 25 (5): 632–42. Li X, Zhang Z, Wu Y. Some new results involving general standby systems [J]. Applied Stochastic Models in Business and Industry, 2009, 25 (5): 632–42.
57.
go back to reference Papageorgiou E, Kokolakis G. Reliability analysis of a two-unit general parallel system with (n-2) warm standbys [J]. European Journal of Operational Research, 2010, 201 (3): 821–7. Papageorgiou E, Kokolakis G. Reliability analysis of a two-unit general parallel system with (n-2) warm standbys [J]. European Journal of Operational Research, 2010, 201 (3): 821–7.
58.
go back to reference Eryilmaz S. Reliability of a k-out-of-n system equipped with a single warm standby component [J]. IEEE Transactions on Reliability, 2013, 62 (2): 499–503. Eryilmaz S. Reliability of a k-out-of-n system equipped with a single warm standby component [J]. IEEE Transactions on Reliability, 2013, 62 (2): 499–503.
59.
go back to reference Kuo W, Prasad V R. An annotated overview of system-reliability optimization [J]. IEEE Transactions on Reliability, 2000, 49 (2): 176–87. Kuo W, Prasad V R. An annotated overview of system-reliability optimization [J]. IEEE Transactions on Reliability, 2000, 49 (2): 176–87.
60.
go back to reference Coit D W. Cold-standby redundancy optimization for nonrepairable systems [J]. IIE Transactions, 2001, 33 (6): 471–8. Coit D W. Cold-standby redundancy optimization for nonrepairable systems [J]. IIE Transactions, 2001, 33 (6): 471–8.
61.
go back to reference Coit D W. Maximization of system reliability with a choice of redundancy strategies [J]. IIE Transactions, 2003, 35 (6): 535–43. Coit D W. Maximization of system reliability with a choice of redundancy strategies [J]. IIE Transactions, 2003, 35 (6): 535–43.
62.
go back to reference Coit D W, Jin T, Wattanapongsakorn N. System optimization with component reliability estimation uncertainty: a multi-criteria approach [J]. IEEE Transactions on Reliability, 2004, 53 (3): 369–80. Coit D W, Jin T, Wattanapongsakorn N. System optimization with component reliability estimation uncertainty: a multi-criteria approach [J]. IEEE Transactions on Reliability, 2004, 53 (3): 369–80.
63.
go back to reference Boddu P, Xing L. Redundancy allocation for k-out-of-n: G systems with mixed spare types [A]. Annual Reliability and Maintainability Symposium (RAMS2012), 2012 [C]. IEEE, 1–6. Boddu P, Xing L. Redundancy allocation for k-out-of-n: G systems with mixed spare types [A]. Annual Reliability and Maintainability Symposium (RAMS2012), 2012 [C]. IEEE, 1–6.
64.
go back to reference Boddu P, Xing L. Reliability evaluation and optimization of series-parallel systems with k-out-of-n: G subsystems and mixed redundancy types [J]. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 2013, 227 (2): 187–98. Boddu P, Xing L. Reliability evaluation and optimization of series-parallel systems with k-out-of-n: G subsystems and mixed redundancy types [J]. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 2013, 227 (2): 187–98.
65.
go back to reference Yu H, Yalaoui F, Châtelet Ė, et al. Optimal design of a maintainable cold-standby system [J]. Reliability Engineering & System Safety, 2007, 92 (1): 85–91. Yu H, Yalaoui F, Châtelet Ė, et al. Optimal design of a maintainable cold-standby system [J]. Reliability Engineering & System Safety, 2007, 92 (1): 85–91.
66.
go back to reference Huang H Z, Qu J, Zuo M J. Genetic-algorithm-based optimal apportionment of reliability and redundancy under multiple objectives [J]. IIE Transactions, 2009, 41 (4): 287–98. Huang H Z, Qu J, Zuo M J. Genetic-algorithm-based optimal apportionment of reliability and redundancy under multiple objectives [J]. IIE Transactions, 2009, 41 (4): 287–98.
67.
go back to reference Azaron A, Perkgoz C, Katagiri H, et al. Multi-objective reliability optimization for dissimilar-unit cold-standby systems using a genetic algorithm [J]. Computers & Operations Research, 2009, 36 (5): 1562–71. Azaron A, Perkgoz C, Katagiri H, et al. Multi-objective reliability optimization for dissimilar-unit cold-standby systems using a genetic algorithm [J]. Computers & Operations Research, 2009, 36 (5): 1562–71.
68.
go back to reference Safari J. Multi-objective reliability optimization of series-parallel systems with a choice of redundancy strategies [J]. Reliability Engineering & System Safety, 2012, 108 (10–20. Safari J. Multi-objective reliability optimization of series-parallel systems with a choice of redundancy strategies [J]. Reliability Engineering & System Safety, 2012, 108 (10–20.
69.
go back to reference Abouei Ardakan M, Zeinal Hamadani A, Alinaghian M. Optimizing bi-objective redundancy allocation problem with a mixed redundancy strategy [J]. ISA Transactions, 2015, 55 (0): 116–28. Abouei Ardakan M, Zeinal Hamadani A, Alinaghian M. Optimizing bi-objective redundancy allocation problem with a mixed redundancy strategy [J]. ISA Transactions, 2015, 55 (0): 116–28.
70.
go back to reference Amari S V, Dill G. Redundancy optimization problem with warm-standby redundancy [A]. Annual Reliability and Maintainability Symposium (RAMS2010), 2010 [C]. IEEE, 2010: 1–6. Amari S V, Dill G. Redundancy optimization problem with warm-standby redundancy [A]. Annual Reliability and Maintainability Symposium (RAMS2010), 2010 [C]. IEEE, 2010: 1–6.
71.
go back to reference Tannous O, Xing L, Peng R, et al. Redundancy allocation for series-parallel warm-standby systems [A]. Proceedings of IEEE International Conference on Industrial Engineering and Engineering Management (IEEM), Singapore, 2011 [C]. IEEE, 2011: 1261–5. Tannous O, Xing L, Peng R, et al. Redundancy allocation for series-parallel warm-standby systems [A]. Proceedings of IEEE International Conference on Industrial Engineering and Engineering Management (IEEM), Singapore, 2011 [C]. IEEE, 2011: 1261–5.
72.
go back to reference Boland P J, El-Neweihi E, Proschan F. Stochastic order for redundancy allocations in series and parallel systems [J]. Advances in Applied Probability, 1992, 24 (1): 161–71. Boland P J, El-Neweihi E, Proschan F. Stochastic order for redundancy allocations in series and parallel systems [J]. Advances in Applied Probability, 1992, 24 (1): 161–71.
73.
go back to reference Romera R, Valdés J E, Zequeira R I. Active-redundancy allocation in systems [J]. IEEE Transactions on Reliability, 2004, 53 (3): 313–8. Romera R, Valdés J E, Zequeira R I. Active-redundancy allocation in systems [J]. IEEE Transactions on Reliability, 2004, 53 (3): 313–8.
74.
go back to reference Li X, Hu X. Some new stochastic comparisons for redundancy allocations in series and parallel systems [J]. Statistics & Probability Letters, 2008, 78 (18): 3388–94. Li X, Hu X. Some new stochastic comparisons for redundancy allocations in series and parallel systems [J]. Statistics & Probability Letters, 2008, 78 (18): 3388–94.
75.
go back to reference Hu T, Wang Y. Optimal allocation of active redundancies in r-out-of-n systems [J]. Journal of Statistical Planning and Inference, 2009, 139 (10): 3733–7. Hu T, Wang Y. Optimal allocation of active redundancies in r-out-of-n systems [J]. Journal of Statistical Planning and Inference, 2009, 139 (10): 3733–7.
76.
go back to reference Valdés J E, Arango G, Zequeira R I, et al. Some stochastic comparisons in series systems with active redundancy [J]. Statistics & Probability Letters, 2010, 80 (11): 945–9. Valdés J E, Arango G, Zequeira R I, et al. Some stochastic comparisons in series systems with active redundancy [J]. Statistics & Probability Letters, 2010, 80 (11): 945–9.
77.
go back to reference Li X, Ding W. Optimal allocation of active redundancies to k-out-of-n systems with heterogeneous components [J]. Journal of Applied Probability, 2010, 47 (1): 254–63. Li X, Ding W. Optimal allocation of active redundancies to k-out-of-n systems with heterogeneous components [J]. Journal of Applied Probability, 2010, 47 (1): 254–63.
78.
go back to reference Ding W, Li X. The optimal allocation of active redundancies to k-out-of-n systems with respect to hazard rate ordering [J]. Journal of Statistical Planning and Inference, 2012, 142 (7): 1878–87. Ding W, Li X. The optimal allocation of active redundancies to k-out-of-n systems with respect to hazard rate ordering [J]. Journal of Statistical Planning and Inference, 2012, 142 (7): 1878–87.
79.
go back to reference Yun W Y, Cha J H. Optimal design of a general warm standby system [J]. Reliability Engineering & System Safety, 2010, 95 (8): 880–6. Yun W Y, Cha J H. Optimal design of a general warm standby system [J]. Reliability Engineering & System Safety, 2010, 95 (8): 880–6.
80.
go back to reference Levitin G, Xing L, Dai Y. Optimal sequencing of warm standby elements [J]. Computers & Industrial Engineering, 2013, 65 (4): 570–6. Levitin G, Xing L, Dai Y. Optimal sequencing of warm standby elements [J]. Computers & Industrial Engineering, 2013, 65 (4): 570–6.
Metadata
Title
Introduction
Authors
Prof. Rui Peng
Dr. Qingqing Zhai
Prof. Jun Yang
Copyright Year
2021
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-16-1792-8_1

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