Erlang loss queueing system with batch arrivals operating in a random environment

被引：21

作者：

Kim, Che Soong ^{[1
]}

Dudin, Alexander ^{[2
]}

Klimenok, Valentina ^{[2
]}

Khramova, Valentina ^{[2
]}

机构：

[1] Sangji Univ, Wonju 220702, Kangwon, South Korea

[2] Belarusian State Univ, Minsk 220030, BELARUS

来源：

COMPUTERS & OPERATIONS RESEARCH | 2009年 / 36卷 / 03期

关键词：

BMAP/PH/N/0 queueing model; Random environment; Stationary state distribution; Loss probability; QUEUES;

D O I：

10.1016/j.cor.2007.10.022

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We consider the BMAP/PH/N/0 queueing system operating in a finite state space Markovian random environment. Disciplines of partial admission, complete rejection and complete admission are analyzed. The stationary distribution of the system states is calculated. The loss probability and other main performance measures of the system are derived. The Laplace-Stieltjes transform of the sojourn time distribution of accepted customers is obtained. Illustrative numerical examples are presented. They show effect of an admission strategy, a correlation in an arrival process, a variation of a service process. Poor quality of the loss probability approximation by means of more simple models utilization is illustrated. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：674 / 697

页数：24

共 52 条

[11]

Dudin AN, 2005, AUST J STAT, V34, P101

[12]

DUDIN AN, 1999, INT C PROB AN RAR EV, P143

[13]

DUDIN AN, 1999, AUTOMAT REM CONTR, V60, P97

[14]

DUDIN AN, 1989, AUTOM CONTROL COMP S, P1

[15]

DUDIN AN, 1990, TEKH SREDSTV SVYA SS, P30

[16]

DUDIN AN, 1990, P 15 ALL UN C COMP N, V2, P241

[17]

DUDIN AN, 1997, AUTOMAT REM CONTR, V58, P74

[18]

DUDIN AN, 1997, INT C DISTR COMP COM, P59

[19]

Falin G. I., 1988, Problems of Information Transmission, V24, P318

[20]

FALIN GI, 1988, ENG CYBERN, V26, P134

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