A PARALLEL SYSTEM WITH ARRIVAL TIME OF EXPERT SERVER SUBJECT TO MAXIMUM REPAIR AND INSPECTION TIMES OF ORDINARY SERVER

被引:0
|
作者
Malik, S. C. [1 ]
Gitanjali [2 ]
机构
[1] Maharshi Dayanand Univ, Dept Stat, Rohtak 124001, Haryana, India
[2] GGSIPU, NIEC, Dept Math, Delhi, India
来源
JOURNAL OF RELIABILITY AND STATISTICAL STUDIES | 2014年 / 7卷 / 01期
关键词
Parallel System; Two Servers; Maximum Repair Time and Reliability Measures;
D O I
暂无
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
A parallel system of two identical units has been analyzed stochastically considering two types of servers. Initially, the unit is repaired by the ordinary sever who visits the system immediately. And, when ordinary server is unable to do repair of that unit in a given maximum repair time, the unit undergoes for inspection to see the feasibility of its repair by an expert server. If inspection reveals that repair of the unit is also not possible by the expert server, then it is replaced by new unit. The expert server takes some time to arrive at the system. The failure rate of each unit and rate by which unit undergoes for inspection by the ordinary server are taken as constant while the distributions of arrival, inspection, repair and replacement times are assumed as arbitrary with different probability density functions. All random variables are statistically independent. The expressions for several reliability measures are derived using semi-Markov process and regenerative point technique. Graphs are drawn to depict the behavior of MTSF, availability and profit for different values of the parameters.
引用
收藏
页码:103 / 112
页数:10
相关论文
共 50 条
  • [21] Total completion time minimization in a computer system with a server and two parallel processors
    Guirchoun, S
    Martineau, P
    Billaut, JC
    COMPUTERS & OPERATIONS RESEARCH, 2005, 32 (03) : 599 - 611
  • [22] Enabling client-server explanation facilities in a real-time expert system
    Malheiro, N
    Vale, ZA
    Ramos, C
    Santos, J
    Marques, A
    MULTIPLE APPROACHES TO INTELLIGENT SYSTEMS, PROCEEDINGS, 1999, 1611 : 333 - 342
  • [23] Transient analysis of two heterogeneous servers queueing system with differentiated vacations subject to system disaster, server repair
    Karthick, Venugopal
    Suvitha, Vaidhiyanathan
    Sudhesh, Ramupillai
    SANKHYA-SERIES B-APPLIED AND INTERDISCIPLINARY STATISTICS, 2024, 86 (02): : 751 - 776
  • [24] PROFIT ANALYSIS OF A ONE-SERVER ONE-UNIT SYSTEM WITH PARTIAL FAILURE SUBJECT TO RANDOM INSPECTION
    TUTEJA, RK
    TANEJA, G
    MICROELECTRONICS AND RELIABILITY, 1993, 33 (03): : 319 - 322
  • [25] ANALYSIS OF 1-SERVER N-UNIT PARALLEL SYSTEM SUBJECT TO DIFFERENT SERVICE STRATEGIES
    GOPALAN, MN
    RAMESH, TK
    MICROELECTRONICS AND RELIABILITY, 1986, 26 (01): : 191 - 196
  • [26] An M/G/1 retrial queueing system with two phases of service subject to the server breakdown and repair
    Choudhury, Gautam
    Deka, Kandarpa
    PERFORMANCE EVALUATION, 2008, 65 (10) : 714 - 724
  • [27] PROBABILISTIC ANALYSIS OF A 2-SERVER N-UNIT SYSTEM SUBJECT TO PREVENTIVE MAINTENANCE AND REPAIR
    GOPALAN, MN
    VENKATACHALAM, P
    ADVANCES IN APPLIED PROBABILITY, 1976, 8 (02) : 249 - 250
  • [28] System delay versus system content for discrete-time queueing systems subject to server interruptions
    Vinck, Bart
    Bruneel, Herwig
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2006, 175 (01) : 362 - 375
  • [29] AVAILABILITY AND RELIABILITY OF A 2-UNIT 2-SERVER SYSTEM SUBJECT TO PREVENTIVE MAINTENANCE AND REPAIR
    GOPALAN, MN
    VENKATACHALAM, P
    RAIRO-RECHERCHE OPERATIONNELLE-OPERATIONS RESEARCH, 1978, 12 (01): : 85 - 92
  • [30] PROFIT ANALYSIS OF A 1- OUT OF 2 UNIT SYSTEM WITH A STANDBY UNIT AND ARRIVAL TIME OF SERVER
    Jain, Pooja
    Pawar, D.
    Malik, S. C.
    INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES, 2022, 18 (01): : 29 - 33