On Redundancy Allocation to Series and Parallel Systems of Two Components

被引:9
|
作者
Yan, Rongfang [1 ]
Lu, Bin [1 ]
Li, Xiaohu [2 ]
机构
[1] Northwest Normal Univ, Coll Math & Stat, Dept Math, Lanzhou, Gansu, Peoples R China
[2] Stevens Inst Technol, Dept Math Sci, Hoboken, NJ 07030 USA
基金
中国国家自然科学基金;
关键词
Hazard rate order; Likelihood ratio order; Proportional hazards; Reversed hazard rate order; Stochastic order; ACTIVE REDUNDANCIES;
D O I
10.1080/03610926.2018.1500603
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
For two components and one standby redundancy, we develop a characterization on the hazard rate order and the reversed hazard rate order of the redundant system lifetime in the context of mutually independent components lifetimes. Also, the likelihood ratio order is derived on the lifetime of the series system with two components lifetimes and two matched active redundancies lifetimes both following the proportional hazard model.
引用
收藏
页码:4690 / 4701
页数:12
相关论文
共 50 条
  • [41] Joint optimization of redundancy and maintenance staff allocation for multi-state series-parallel systems
    Liu, Yu
    Huang, Hong-Zhong
    Wang, Zhonglai
    Li, Yan-Feng
    Zhang, Xiao-Ling
    Eksploatacja i Niezawodnosc, 2012, 14 (04) : 312 - 318
  • [42] The methods for exactly solving redundancy allocation optimization for multi-state series-parallel systems
    Li, Yan-Fu
    Zhang, Hanxiao
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 2022, 221
  • [43] A TABU SEARCH FOR MULTIPLE MULTI-LEVEL REDUNDANCY ALLOCATION PROBLEM IN SERIES-PARALLEL SYSTEMS
    Jang, Kil-Woong
    Kim, Jae-Hwan
    INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING-THEORY APPLICATIONS AND PRACTICE, 2011, 18 (03): : 120 - 129
  • [44] Coupling ant colony and the degraded ceiling algorithm for the redundancy allocation problem of series-parallel systems
    Nahas, Nabil
    Nourelfath, Mustapha
    Ait-Kadi, Daoud
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 2007, 92 (02) : 211 - 222
  • [45] JOINT OPTIMIZATION OF REDUNDANCY AND MAINTENANCE STAFF ALLOCATION FOR MULTI-STATE SERIES-PARALLEL SYSTEMS
    Liu, Yu
    Huang, Hong-Zhong
    Wang, Zhonglai
    Li, Yan-Feng
    Zhang, Xiao-Ling
    EKSPLOATACJA I NIEZAWODNOSC-MAINTENANCE AND RELIABILITY, 2012, 14 (04): : 312 - 318
  • [46] Efficient exact optimization of multi-objective redundancy allocation problems in series-parallel systems
    Cao, Dingzhou
    Murat, Alper
    Chinnam, Ratna Babu
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 2013, 111 : 154 - 163
  • [47] On the optimal redundancy allocation for multi-state series-parallel systems under epistemic uncertainty
    Sun, Mu-Xia
    Li, Yan-Fu
    Zio, Enrico
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 2019, 192
  • [48] Tabu search for the redundancy allocation problem of homogenous series-parallel multi-state systems
    Ouzineb, Mohamed
    Nourelfath, Mustapha
    Gendreau, Michel
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 2008, 93 (08) : 1257 - 1272
  • [49] STOCHASTIC ORDER FOR REDUNDANCY ALLOCATIONS IN SERIES AND PARALLEL SYSTEMS
    BOLAND, PJ
    ELNEWEIHI, E
    PROSCHAN, F
    ADVANCES IN APPLIED PROBABILITY, 1992, 24 (01) : 161 - 171
  • [50] NUMERICAL INVESTIGATION OF OPTIMAL PARALLEL REDUNDANCY IN SERIES SYSTEMS
    MCLEAVEY, DW
    OPERATIONS RESEARCH, 1974, 22 (05) : 1110 - 1117