PERIODIC DISCRETE-TIME ONE-CHANNEL GI/G/1 RETRIAL QUEUING SYSTEM WITH FCFS SERVICE DISCIPLINE

被引：0

作者：

Kovalenko, I. N. ^{[1
]}

Koba, E. V. ^{[1
]}

Dyshliuk, O. N. ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, VM Glushkov Inst Cybernet, Kiev, Ukraine

[2] Natl Aviat Univ, Kiev, Ukraine

来源：

CYBERNETICS AND SYSTEMS ANALYSIS | 2013年 / 49卷 / 04期

关键词：

queuing systems; repeated calls; stability of queuing systems;

D O I：

10.1007/s10559-013-9543-y

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

A discrete-time one-channel queuing system with general inter-arrival, service, and orbit times periodically dependent on the number of arrival is considered. The service discipline is assumed to be FCFS. The sufficient condition for the ergodicity of an embedded Markov chain is derived.

引用

页码：578 / 583

页数：6

共 50 条

[41] A Discrete-Time Geo/G/1 Retrial Queue with Two Different Types of Vacations
Zhang, Feng
Zhu, Zhifeng
MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
[42] A Discrete-Time Geo/G/1 retrial queue with the server subject to starting failures
I. Atencia
P. Moreno
Annals of Operations Research, 2006, 141 : 85 - 107
[43] WHEN IS A PERIODIC DISCRETE-TIME SYSTEM EQUIVALENT TO A TIME-INVARIANT ONE
VANDOOREN, P
SREEDHAR, J
LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 212 : 131 - 151
[44] AN ANALYTIC SOLUTION OF THE WAITING TIME DISTRIBUTION FOR THE DISCRETE-TIME GI/G/1 QUEUE
MURATA, M
MIYAHARA, H
PERFORMANCE EVALUATION, 1991, 13 (02) : 87 - 95
[45] Performance analysis of discrete-time queue GI/G/1 with negative arrivals
Zhou, WH
APPLIED MATHEMATICS AND COMPUTATION, 2005, 170 (02) : 1349 - 1355
[46] Loss probability in an overloaded discrete-time GI/G/1/K system with very large K
Alfa, AS
OPERATIONS RESEARCH LETTERS, 2004, 32 (05) : 439 - 447
[47] An exact formula for the mean number of claims served by a one-channel queuing system with rejections on a given time interval
Bakirov N.K.
Snachev M.V.
Bening V.E.
Moscow University Computational Mathematics and Cybernetics, 2009, 33 (1) : 32 - 37
[48] Queue size distribution in a discrete-time D-BMAP/G/1 retrial queue
Kim, Bara
Kim, Jeongsim
COMPUTERS & OPERATIONS RESEARCH, 2010, 37 (07) : 1220 - 1227
[49] Tail asymptotics for the queue size distribution in a discrete-time Geo/G/1 retrial queue
Bara Kim
Jeongsim Kim
Queueing Systems, 2009, 61 : 243 - 254
[50] A Discrete-Time Geo/G/1 Retrial Queue with J Vacations and Two Types of Breakdowns
Zhang, Feng
Zhu, Zhifeng
JOURNAL OF APPLIED MATHEMATICS, 2013,

← 1 2 3 4 5 →