ON STOCHASTIC COMPARISONS FOR LOAD-SHARING SERIES AND PARALLEL SYSTEMS

被引:5
|
作者
Finkelstein, Maxim [1 ,2 ]
Hazra, Nil Kamal [1 ]
机构
[1] Univ Free State, Dept Math Stat & Actuarial Sci, POB 339, ZA-9300 Bloemfontein, South Africa
[2] ITMO Univ, 49 Kronverkskiy Pr, St Petersburg 197101, Russia
基金
新加坡国家研究基金会;
关键词
accelerated lifetime model; cumulative exposure model; hazard rate function; reversed hazard rate function; stochastic orders; virtual age; ACTIVE REDUNDANCY ALLOCATIONS; N-G SYSTEM; RELIABILITY; ORDERINGS;
D O I
10.1017/S0269964816000395
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study the allocation strategies for redundant components in the load- sharing series/parallel systems. We show that under the specified assumptions, the allocation of a redundant component to the stochastically weakest (strongest) component of a series (parallel) system is the best strategy to achieve its maximal reliability. The results have been studied under cumulative exposure model and for a general scenario as well. They have a clear intuitive meaning; however, the corresponding additional assumptions are not obvious, which can be seen from the proofs of our theorems.
引用
收藏
页码:311 / 329
页数:19
相关论文
共 50 条
  • [1] On stochastic behaviors of load-sharing parallel systems
    Zhang, Zhengcheng
    Yang, Yonghong
    Ji, Xiujie
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2020, 49 (22) : 5392 - 5405
  • [2] STOCHASTIC SIMULATION OF WOOD LOAD-SHARING SYSTEMS
    DeBonis, A.Louis
    1980, 106 (02): : 393 - 410
  • [3] STOCHASTIC SIMULATION OF WOOD LOAD-SHARING SYSTEMS
    DEBONIS, AL
    JOURNAL OF THE STRUCTURAL DIVISION-ASCE, 1980, 106 (02): : 393 - 410
  • [4] Reliability Analysis for Load-Sharing Parallel Systems with No Failure of Components
    Yu, Xinshui
    Yu, Tianxiang
    Song, Kunling
    Song, Bifeng
    JOURNAL OF FAILURE ANALYSIS AND PREVENTION, 2019, 19 (05) : 1244 - 1251
  • [5] Reliability Analysis for Load-Sharing Parallel Systems with No Failure of Components
    Xinshui Yu
    Tianxiang Yu
    Kunling Song
    Bifeng Song
    Journal of Failure Analysis and Prevention, 2019, 19 : 1244 - 1251
  • [6] Stochastic comparison on load-sharing systems with one statistically dependent redundancy
    Li, Chen
    Fang, Rui
    Li, Xiaohu
    APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, 2021, 37 (06) : 1143 - 1156
  • [7] Reliability aspects of a series load-sharing system
    Krivtsov, V. V.
    Amari, S. V.
    Gurevich, V. I.
    SAFETY AND RELIABILITY - SAFE SOCIETIES IN A CHANGING WORLD, 2018, : 2359 - 2363
  • [8] Availability analysis of load-sharing systems
    Chan, CK
    ANNUAL RELIABILITY AND MAINTAINABILITY SYMPOSIUM, 2003 PROCEEDINGS, 2003, : 551 - 555
  • [9] THE ASYMPTOTIC-DISTRIBUTION OF THE STRENGTH OF A SERIES-PARALLEL SYSTEM WITH EQUAL LOAD-SHARING
    SMITH, RL
    ANNALS OF PROBABILITY, 1982, 10 (01): : 137 - 171
  • [10] Reliability analysis of load-sharing parallel systems considering equivalent strength degradation
    Yu, Xinshui
    Yu, Tianxiang
    Song, Kunling
    Song, Bifeng
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART O-JOURNAL OF RISK AND RELIABILITY, 2021, 235 (02) : 193 - 200