Analysis of discrete-time multiserver queues with constant service times and correlated arrivals

被引：0

作者：

Gao, PX ^{[1
]}

Wittevrongel, S ^{[1
]}

Bruneel, H ^{[1
]}

机构：

[1] State Univ Ghent, Dept Telecommun & Informat Proc, Stochast Modeling & Anal Commun Syst Res Grp, B-9000 Ghent, Belgium

来源：

ASMTA 2005: 12th International Conference on Analytical and Stochastic Modelling Techniques and Applications, Proceedings | 2005年

关键词：

queueing systems and network models; performance modelling;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We investigate the behavior of a discrete-time multi-server buffer system with infinite buffer size. Packets arrive at the system according to a two-state correlated arrival process. The service times of the packets are assumed to be constant, equal to multiple slots. The behavior of the system is analyzed by means of an analytical technique based on probability generating functions (pgf's). Explicit expressions are obtained for the pgf's of the system contents and the packet delay. From these, the moments and the tail distributions of the system contents and the packet delay can be calculated. Numerical examples are given to show the influence of various model parameters on the system behavior.

引用

页码：1 / 8

页数：8

共 50 条

[11] Discrete-time queues with correlated vacations
Fiems, D
Bruneel, H
PROVIDING QUALITY OF SERVICE IN HETEROGENEOUS ENVIRONMENTS, VOLS 5A AND 5B, 2003, 5A-B : 581 - 590
[12] DISCRETE-TIME ANALYSIS OF A CLASSIFIED MULTISERVER QUEUE WITH BURST ARRIVALS AND A SHARED BUFFER
YAMASHITA, H
QUEUEING SYSTEMS, 1994, 18 (1-2) : 167 - 182
[13] CONVEXITY RESULTS FOR SINGLE-SERVER QUEUES AND FOR MULTISERVER QUEUES WITH CONSTANT SERVICE TIMES
HAREL, A
JOURNAL OF APPLIED PROBABILITY, 1990, 27 (02) : 465 - 468
[14] DISCRETE-TIME QUEUES WITH PHASE-DEPENDENT ARRIVALS
DAIGLE, JN
LEE, Y
MAGALHAES, MN
IEEE TRANSACTIONS ON COMMUNICATIONS, 1994, 42 (2-4) : 606 - 614
[15] Discrete-time queues with general service times and general server interruptions
Fiems, D
Steyaert, B
Bruneel, H
INTERNET QUALITY AND PERFORMANCE AND CONTROL OF NETWORK SYSTEMS, 2001, 4211 : 93 - 104
[16] Computing queue length and waiting time distributions in finite-buffer discrete-time multiserver queues with late and early arrivals
Gupta, UC
Samanta, SK
Sharma, RK
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (10-11) : 1557 - 1573
[17] A tandem of discrete-time queues with arrivals and departures at each stage
Walley, SK
Viterbi, AM
QUEUEING SYSTEMS, 1996, 23 (1-4) : 157 - 176
[18] Optimal control of arrivals in tandem queues of constant service time
Hsing Luh
Ulrich Rieder
Mathematical Methods of Operations Research, 2001, 53 : 481 - 491
[19] A performance analysis of a discrete-time priority queueing system with correlated arrivals
Ali, MM
Song, X
PERFORMANCE EVALUATION, 2004, 57 (03) : 307 - 339
[20] Optimal control of arrivals in tandem queues of constant service time
Luh, H
Rieder, U
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2001, 53 (03) : 481 - 491

← 1 2 3 4 5 →