PERFORMANCE ANALYSIS OF SINGLE SERVER NON-MARKOVIAN RETRIAL QUEUE WITH WORKING VACATION AND CONSTANT RETRIAL POLICY

被引：4

作者：

Jailaxmi, V. ^{[1
]}

Arumuganathan, R. ^{[1
]}

Kumar, M. Senthil ^{[2
]}

机构：

[1] PSG Coll Technol, Dept Math, Coimbatore 641004, Tamil Nadu, India

[2] PSG Coll Technol, Dept Appl Math & Comp Sci, Coimbatore 641004, Tamil Nadu, India

来源：

RAIRO-OPERATIONS RESEARCH | 2014年 / 48卷 / 03期

关键词：

Retrial queue; working vacation; constant retrial policy; M/G/1; QUEUE; N-POLICY;

D O I：

10.1051/ro/2014013

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 analyses an M/G/1 retrial queue with working vacation and constant retrial policy. As soon as the system becomes empty, the server begins a working vacation. The server works with different service rates rather than completely stopping service during a vacation. We construct the mathematical model and derive the steady-state queue distribution of number of customer in the retrial group. The effects of various performance measures are derived.

引用

页码：381 / 398

页数：18

共 25 条

[1]

Artalejo J., 1999, TOP, V7, P187, DOI DOI 10.1007/BF02564721

[2]

Artalejo J.R., 2008, COMPUT APPROACH

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

Artalejo, JR .

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

[4] Analysis of an M/G/1 queue with constant repeated attempts and server vacations [J].

Artalejo, JR .

COMPUTERS & OPERATIONS RESEARCH, 1997, 24 (06) :493-504

[5]

Arumuganathan R, 2008, QUAL TECHNOL QUANT M, V5, P145

[6]

Arumuganathan R., 2008, INT J MODERN MATH, V3, P47

[7] ON THE MX/G/1 QUEUE WITH VACATION TIME [J].

BABA, Y .

OPERATIONS RESEARCH LETTERS, 1986, 5 (02) :93-98

[8]

Bong Dae Choi, 1990, Queueing Systems Theory and Applications, V7, P219, DOI 10.1007/BF01158476

[9] Single server retrial queues with priority calls [J].

Choi, BD ;

Chang, Y .

MATHEMATICAL AND COMPUTER MODELLING, 1999, 30 (3-4) :7-32

[10] M/G/1 RETRIAL QUEUING-SYSTEMS WITH 2 TYPES OF CALLS AND FINITE-CAPACITY [J].

CHOI, BD ;

CHOI, KB ;

LEE, YW .

QUEUEING SYSTEMS, 1995, 19 (1-2) :215-229

← 1 2 3 →