A stable algorithm for stationary distribution calculation for a BMAP/SM/1 queueing system with Markovian arrival input of disasters

被引：20

作者：

Dudin, A ^{[1
]}

Semenova, O ^{[1
]}

机构：

[1] Belarusian State Univ, Dept Appl Math & Comp Sci, Lab Appl Probabil Anal, Minsk 220050, BELARUS

来源：

JOURNAL OF APPLIED PROBABILITY | 2004年 / 41卷 / 02期

关键词：

BMAP/SM/1-type queue; disaster; censored Markov chain; stable algorithm;

D O I：

10.1239/jap/1082999085

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：

Disaster arrival into a queueing system causes all customers to leave the system instantaneously. We present a numerically stable algorithm for calculating the stationary state distribution of an embedded Markov chain for the BMAP/SM/l queue with a MAP input of disasters.

引用

页码：547 / 556

页数：10

共 29 条

[1] A BMAP/SM/1 queueing system with markovian arrival input of disasters
Dudin, A
Nishimura, S
[J]. JOURNAL OF APPLIED PROBABILITY, 1999, 36 (03) : 868 - 881
[2] Stable algorithm for stationary distribution calculation for a BMAP/SM/1 queue with map-input of disasters and non-instantaneous recovery
Semenova, OV
Kim, CS
[J]. ASMTA 2004: 11TH INTERNATIONAL CONFERENCE ON ANALYTICAL AND STOCHASTIC MODELLING TECHNIQUESAND APPLICATIONS, PROCEEDINGS, 2004, : 11 - 15
[3] BMAP/SM/1 queue with Markovian input of disasters and non-instantaneous recovery
Dudin, A
Karolik, AV
[J]. PERFORMANCE EVALUATION, 2001, 45 (01) : 19 - 32
[4] A stable algorithm for finding the stationary distribution of a service system with batch Markovian input flow, storehouse, and Markovian flow of heterotypical disasters
Kazimirsky, A.V.
[J]. Automatic Control and Computer Sciences, 2005, 39 (06) : 56 - 64
[5] Investigation of BMAP|SM|1 queueing system with modulated repeated request Markovian process
Tsarenkov, GV
[J]. AUTOMATIC CONTROL AND COMPUTER SCIENCES, 2002, 36 (04) : 47 - 52
[6] Queueing system with passive servers, BMAP-input of customers and Markovian input of breakdowns
Borokhovsky, VV
Dudin, AN
Klimenok, VI
[J]. SIMULATION IN INDUSTRY'2000, 2000, : 531 - 534
[7] A BMAP/SM/1 Queueing System with Hybrid Operation Mechanism
V. I. Klimenok
[J]. Automation and Remote Control, 2005, 66 : 779 - 790
[8] A BMAP/SM/1 queueing system with hybrid operation mechanism
Klimenok, VI
[J]. AUTOMATION AND REMOTE CONTROL, 2005, 66 (05) : 779 - 790
[9] BMAP/G/1 queueing system with two markovian inputs of breakdowns
Dudin, AN
Klimenok, VI
Tsarenkov, GV
[J]. MODELLING AND SIMULATION 2001, 2001, : 754 - 757
[10] Optimal multithreshold control for BMAP/SM/1 queue with map-input of disasters
Semenova, Olga V.
[J]. ASMTA 2006: 13TH INTERNATIONAL CONFERENCE ON ANALYTICAL AND STOCHASTIC MODELLING TECHNIQUES AND APPLICATIONS, PROCEEDINGS, 2006, : 14 - 19

← 1 2 3 →