A Geom/G/1/n Queueing System with LIFO Discipline, Service Interruptions and Repeat Again Service, and Restrictions on the Total Volume of Demands

被引:0
|
作者
Pechinkin, Alexander [1 ]
Shorgin, Sergey [1 ]
机构
[1] Russian Acad Sci, Inst Informat Problems, Moscow 119333, Russia
来源
关键词
Queueing system; discrete time; finite buffer; the demand length and volume;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Consideration is given to a discrete-time queueing system with inverse discipline, service interruption and repeat again service, second-order geometrical demand arrival, arbitrary (discrete) distribution of demand length and finite storage. Each demand entering the queue has random volume besides its length. The total volume of the demands in the queue is limited by a certain number. Formulae for the stationary probabilities of states and the stationary waiting time distribution in the queuing system are obtained.
引用
收藏
页码:98 / 106
页数:9
相关论文
共 50 条
  • [1] A Geom/G/1/n Queueing System with LIFO Discipline, Service Interruptions and Resumption, and Restrictions on the Total Volume of Demands
    Cascone, Annunziata
    Manzo, Rosanna
    Pechinkin, Alexander V.
    Shorgin, Sergey Ya
    WORLD CONGRESS ON ENGINEERING, WCE 2010, VOL III, 2010, : 1765 - 1769
  • [2] Stationary Distribution of Waiting Time in MAP / G / 1 / N Queueing System with LIFO Service Discipline
    Dudin, Alexander
    Klimenok, Valentina
    Samouylov, Konstantin
    WIRED/WIRELESS INTERNET COMMUNICATIONS, WWIC 2017, 2017, 10372 : 50 - 61
  • [3] Geom/G/1/n system with LIFO discipline without interrupts and constrained total amount of customers
    Cascone, A.
    Manzo, R.
    Pechinkin, A. V.
    Shorgin, S. Ya.
    AUTOMATION AND REMOTE CONTROL, 2011, 72 (01) : 99 - 110
  • [4] Geom/G/1/n system with LIFO discipline without interrupts and constrained total amount of customers
    A. Cascone
    R. Manzo
    A. V. Pechinkin
    S. Ya. Shorgin
    Automation and Remote Control, 2011, 72 : 99 - 110
  • [5] ON G/G/1 QUEUES WITH LIFO-P SERVICE DISCIPLINE
    SHANTHIKUMAR, JG
    SUMITA, U
    JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN, 1986, 29 (03) : 220 - 231
  • [6] An MAP/G/1/n system with LIFO preemptive-resume discipline and bounded total customer volume
    Pechinkin, AV
    AUTOMATION AND REMOTE CONTROL, 1999, 60 (12) : 1767 - 1772
  • [7] An M/Ek/1 queueing system with no damage service interruptions
    Yu, Miaomiao
    Tang, Yinghui
    Fu, Yonghong
    Pan, Lemeng
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (5-6) : 1262 - 1272
  • [8] The SM/PH/N queueing system with broadcasting service discipline
    Kim, Che Soong
    Lee, Moon Ho
    Dudin, Alexander N.
    Klimenok, Valentina I.
    ASMTA 2006: 13th International Conference on Analytical and Stochastic Modelling Techniques and Applications, Proceedings, 2006, : 8 - 13
  • [9] M1/G/1/n system with lifo discipline and constrained total amount of items
    Pechinkin, AV
    AUTOMATION AND REMOTE CONTROL, 1998, 59 (04) : 545 - 553
  • [10] A general decrementing service policy in the Geom/G/1 queueing model with multiple adaptive vacations
    Wei, Caimin
    Zou, Zongbao
    Wang, Jianjun
    ICIC Express Letters, 2011, 5 (03): : 719 - 726