On multiserver feedback retrial queues with balking and control retrial rate

被引：34

作者：

Kumar, BK ^{[1
]}

Raja, J ^{[1
]}

机构：

[1] Anna Univ, Coll Engn, Dept Math, Madras 600025, Tamil Nadu, India

来源：

ANNALS OF OPERATIONS RESEARCH | 2006年 / 141卷 / 01期

关键词：

quasi-birth-and-death processes; retrial queues; feedback; balking; busy period;

D O I：

10.1007/s10479-006-5300-1

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper discusses multiserver feedback retrial queues with balking and control retrial rate. This system is analyzed as a quasi-birth-and-death (QBD) process and the necessary and sufficient condition for stability of the system is discussed. Some interesting system performance measures are obtained using matrix geometric method. The effects of various parameters on the system performance measures are illustrated numerically. Finally, the optimization of the retrial rate and specific probabilistic descriptors of the system are investigated.

引用

页码：211 / 232

页数：22

共 29 条

[1]

[Anonymous], 1997, FRONTIERS QUEUEING M

[2]

[Anonymous], 1993, PROBAB ENG INF SCI, DOI DOI 10.1017/S0269964800002771

[3]

Artalejo J. R., 2000, ADV ALGORITHMIC METH, P1

[4] Numerical calculation of the stationary distribution of the main multiserver retrial queue [J].

Artalejo, JR ;

Pozo, M .

ANNALS OF OPERATIONS RESEARCH, 2002, 116 (1-4) :41-56

[5] Accessible bibliography on retrial queues [J].

Artalejo, JR .

MATHEMATICAL AND COMPUTER MODELLING, 1999, 30 (3-4) :1-6

[6]

Artalejo JR, 2000, INFOR, V38, P33

[7] Analysis of multiserver queues with constant retrial rate [J].

Artalejo, JR ;

Gómez-Corral, A ;

Neuts, MF .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2001, 135 (03) :569-581

[8]

Bong Dae Choi, 1992, Queueing Systems Theory and Applications, V11, P335, DOI 10.1007/BF01163860

[9]

BRIGHT L, 1995, STOCH MODELS, V11, P495

[10]

Choi, 1992, QUEUEING RELATED MOD, P93

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