Complete analysis of a queue in the BMAP|G|1|N| system

被引：0

作者：

Dudin, AN ^{[1
]}

Shaban, AA ^{[1
]}

Klimenok, VI ^{[1
]}

机构：

[1] Belarusian State Univ, Lab Appl Probabilist Anal, Dept Appl Math & Comp Sci, Minsk 200050 50, BELARUS

来源：

ASMTA 2004: 11TH INTERNATIONAL CONFERENCE ON ANALYTICAL AND STOCHASTIC MODELLING TECHNIQUESAND APPLICATIONS, PROCEEDINGS | 2004年

关键词：

finite queue; batch Markovian arrival process; complete admission; complete rejection; loss probability;

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 single server queue with a finite buffer is analyzed. The input is described by the BMAP (Batch Markovian Arrival Process). The disciplines of complete admission and complete rejection are dealt with. The stationary queue length distribution at service completion and arbitrary epochs is calculated. The loss probability is found and its dependence on the discipline of admission, correlation of the BMAP and service time variation is illustrated by means of numerical examples.

引用

页码：85 / 92

页数：8

共 50 条

[21] The BMAP/G/1 Retrial Queue with Feedback and Starting Failures
Zhang Mian
MANAGEMENT ENGINEERING AND APPLICATIONS, 2010, : 177 - 183
[22] A computational method for the boundary vector of a BMAP/G/1 queue
Nishimura, Shoichi
Tominaga, Hiroyuki
Shigeta, Takemi
JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN, 2006, 49 (02) : 83 - 97
[23] The complete analysis of the discrete time finite DBMAP/G/1/N queue
Herrmann, C
PERFORMANCE EVALUATION, 2001, 43 (2-3) : 95 - 121
[24] The BMAP/G/1/(N)over-bar→•/PH/1/M tandem queue with losses
Klimenok, V
Breuer, L
Tsarenkov, G
Dudin, A
PERFORMANCE EVALUATION, 2005, 61 (01) : 17 - 40
[25] On a BMAP/G/1 G-queue with setup times and multiple vacations
Yi Peng
Xiang-qun Yang
Acta Mathematicae Applicatae Sinica, English Series, 2011, 27 : 625 - 638
[26] The BMAP/G/1 vacation queue with queue-length dependent vacation schedule
Shin, YW
Pearce, CEM
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1998, 40 : 207 - 221
[27] On a BMAP/G/1 G-queue with setup times and multiple vacations
Peng, Yi
Yang, Xiang-qun
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 27 (04): : 625 - 638
[28] Queueing analysis and optimal control of BMAP/G(a,b)/1/N and BMAP/MSP(a,b)/1/N systems
Banik, A. D.
COMPUTERS & INDUSTRIAL ENGINEERING, 2009, 57 (03) : 748 - 761
[29] Optimal control for a BMAP/G/1 queue with two service modes
Dudin, AN
Nishimura, S
MATHEMATICAL PROBLEMS IN ENGINEERING, 1999, 5 (03) : 255 - 273
[30] A BMAP/G/1 retrial queue with a server subject to breakdowns and repairs
Li, QL
Ying, Y
Zhao, YQQ
ANNALS OF OPERATIONS RESEARCH, 2006, 141 (01) : 233 - 270

← 1 2 3 4 5 →