Semigroup method for a deteriorating system with multiple vacations of a repairman

被引：0
|
作者：
Muhtar, Muhtabar [1 ]
Haji, Abdukerim [1 ]
Rozi, Mahsut [1 ]
Hoshur, Abdulla [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
SEMIGROUP FORUM | 2021年 / 102卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Deteriorating system; C-0-semigroup; Dynamic solution; REPAIRABLE SYSTEM; STANDBY; MODEL;
D O I：
10.1007/s00233-020-10144-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By using the method of functional analysis, especially C-0-semigroup theory and spectral theory of linear operators we prove the well-posedness and the existence of a unique positive dynamic solution of a deteriorating system with multiple vacations of a repairman. Moreover, we show spectral properties of the system operator which imply that the system does not have a steady-state solution.
引用
收藏
页码：477 / 494
页数：18
相关论文
共 50 条
  • [1] Semigroup method for a deteriorating system with multiple vacations of a repairman
    Muhtabar Muhtar
    Abdukerim Haji
    Mahsut Rozi
    Abdulla Hoshur
    Semigroup Forum, 2021, 102 : 477 - 494
  • [2] A deteriorating system with its repairman having multiple vacations
    Yuan, Li
    Xu, Jian
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (10) : 4980 - 4989
  • [3] Extended repair model for a deteriorating system with its repairman having vacations
    Junyuan Wang
    Jimin Ye
    Optimization Letters, 2020, 14 : 1887 - 1905
  • [4] Extended repair model for a deteriorating system with its repairman having vacations
    Wang, Junyuan
    Ye, Jimin
    OPTIMIZATION LETTERS, 2020, 14 (07) : 1887 - 1905
  • [5] Stability Analysis of the Gnedenko System with Multiple Vacations of a Repairman
    Hoxur, Abdulla
    Haji, Abdukerim
    Osman, Abdugeni
    Abdurixit, Aypaxa
    Mamat, Riziwan
    Nadir, Kurbannisa
    INTERNATIONAL CONFERENCE ON FRONTIERS OF ENERGY, ENVIRONMENTAL MATERIALS AND CIVIL ENGINEERING (FEEMCE 2013), 2013, : 526 - 531
  • [6] A multiple warm standby δ-shock system with a repairman having multiple vacations
    Wen, Yanqing
    Cui, Lirong
    Si, Shubin
    Liu, Baoliang
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2017, 46 (04) : 3172 - 3186
  • [7] Asymptotic Stability of the Gnedenko System with Multiple Delay Vacations of a Repairman
    Haji, Abdukerim
    Rozi, Mahsut
    2018 3RD INTERNATIONAL CONFERENCE ON COMPUTATIONAL MODELING, SIMULATION AND APPLIED MATHEMATICS (CMSAM 2018), 2018, 310 : 103 - 108
  • [8] Analysis on reliability model of parallel system with a repairman taking multiple vacations
    Wang W.
    Yin D.
    Chen T.
    Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, 2017, 39 (11): : 2631 - 2636
  • [9] Well-posedness of the Gnedenko System with Multiple Delay Vacations of a Repairman
    Rozi, Mahsut
    Haji, Abdukerim
    Osman, Abdugeni
    PROCEEDINGS OF THE 2017 INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, MODELING AND SIMULATION (AMMS 2017), 2017, 153 : 345 - 348
  • [10] A replacement policy for a repairable system with its repairman having multiple vacations
    Jia, Jishen
    Wu, Shaomin
    COMPUTERS & INDUSTRIAL ENGINEERING, 2009, 57 (01) : 156 - 160
12345