Some new results on waiting time and busy time in M/G/1 queue

被引：0
|
作者：
Tang, YH [1 ]
机构：
[1] Univ Elect Sci & Technol China, Dept Appl Math, Chengdu 610054, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2001年 / 21卷 / 03期
关键词：
M/G/1; waiting time; bound; total busy time; NBUE(NWUE) class;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper considers an M/G/1 queue with Poisson rate lambda > 0 and service time distribution G(t) which is supposed to have finite mean 1/mu. The following questions are first studied: (a) The closed bounds of the probability that waiting time is more than a fixed value; (b)The total busy time of the server, which including the distribution, probability that are more than a fixed value during a given time interval (0, t], and the expected value. Some new and important results are obtained by theories of the classes of life distributions and renewal process.
引用
收藏
页码：295 / 301
页数：7
相关论文
共 50 条
  • [1] SOME NEW RESULTS ON WAITING TIME AND BUSY TIME IN M/G/1 QUEUE
    唐应辉
    [J]. Acta Mathematica Scientia, 2001, (03) : 295 - 301
  • [2] WAITING TIME CONVEXITY IN THE M/G/1 QUEUE
    JAGERMAN, DL
    [J]. AT&T TECHNICAL JOURNAL, 1985, 64 (01): : 33 - 41
  • [3] ON THE VIRTUAL WAITING TIME IN AN M/G/1 RETRIAL QUEUE
    FALIN, G
    FRICKER, C
    [J]. JOURNAL OF APPLIED PROBABILITY, 1991, 28 (02) : 446 - 460
  • [4] Waiting time probabilities in the M/G/1+M queue
    Lee, Chihoon
    Wang, Jianqiang C.
    [J]. STATISTICA NEERLANDICA, 2011, 65 (01) : 72 - 83
  • [5] The Virtual Waiting Time of the M/G/1 Queue with Impatient Customers
    Jongho Bae
    Sunggon Kim
    Eui Yong Lee
    [J]. Queueing Systems, 2001, 38 : 485 - 494
  • [6] The virtual waiting time of the M/G/1 queue with impatient customers
    Bae, J
    Kim, S
    Lee, EY
    [J]. QUEUEING SYSTEMS, 2001, 38 (04) : 485 - 494
  • [7] An algorithm to compute the waiting time distribution for the M/G/1 queue
    Shortle, JF
    Brill, PH
    Fischer, MJ
    Gross, D
    Masi, DMB
    [J]. INFORMS JOURNAL ON COMPUTING, 2004, 16 (02) : 152 - 161
  • [8] Waiting Time Control Chart for M/G/1 Retrial Queue
    Lin, Yih-Bey
    Liu, Tzu-Hsin
    Tsai, Yu-Cheng
    Chang, Fu-Min
    [J]. COMPUTATION, 2024, 12 (09)
  • [9] Waiting-time probabilities in the M/G/1 retrial queue
    Nobel, RD
    Tijms, HC
    [J]. STATISTICA NEERLANDICA, 2006, 60 (01) : 73 - 78
  • [10] BUSY PERIOD FOR M-G-1 QUEUE WITH FINITE WAITING ROOM
    VANDERPERRE, EJ
    [J]. REVUE FRANCAISE D AUTOMATIQUE INFORMATIQUE RECHERCHE OPERATIONNELLE, 1974, 8 (NV1): : 41 - 44
12345