Discrete-time multiserver queues with geometric service times

Authors:
Peixia Gao;Sabine Wittevrongel;Herwig Bruneel
Affiliations:
Department of Telecommunications and Information Processing, Stochastic Modeling and Analysis of Communication Systems (SMACS) Research Group, Ghent University, Sint-Pietersnieuwstraat 41, B-9000 ...;Department of Telecommunications and Information Processing, Stochastic Modeling and Analysis of Communication Systems (SMACS) Research Group, Ghent University, Sint-Pietersnieuwstraat 41, B-9000 ...;Department of Telecommunications and Information Processing, Stochastic Modeling and Analysis of Communication Systems (SMACS) Research Group, Ghent University, Sint-Pietersnieuwstraat 41, B-9000 ...
Venue:
Computers and Operations Research
Year:
2004

Citing 9
Cited 10

Asynchronous transfer mode: solution for broadband ISDN

Asynchronous transfer mode: solution for broadband ISDN
Statistical multiplexing of VBR sources: a matrix-analytic approach

Performance Evaluation - Special issue on performance modeling of high speed telecommunication systems
Performance of discrete-time queueing systems

Computers and Operations Research
ME-based approximations for general discrete-time queueing models

Performance Evaluation - Special issue: discrete-time models and analysis methods
The complete analysis of the discrete time finite DBMAP/G/1/N queue

Performance Evaluation
Computer Networks and Systems: Queueing Theory and Performance Evaluation

Computer Networks and Systems: Queueing Theory and Performance Evaluation
Discrete-Time Models for Communication Systems Including ATM

Discrete-Time Models for Communication Systems Including ATM
Theory, Volume 1, Queueing Systems

Theory, Volume 1, Queueing Systems
Queueing networks with discrete time scale: explicit expressions for the steady state behavior of discrete time stochastic networks

Queueing networks with discrete time scale: explicit expressions for the steady state behavior of discrete time stochastic networks

Performance analysis of a GI[X]/Geo/m/N queue with partial- and total-batch rejection

Computers & Mathematics with Applications
A distributed integrated request processing algorithm for QoS assurance in large-scale media-based systems

Journal of Parallel and Distributed Computing
A discrete-time single-server queue with a modified N-policy

International Journal of Systems Science
Performance estimation of an email contact center by a finite source discrete time Geo/Geo/1 queue with disasters

Computers and Industrial Engineering
Multiserver bulk service discrete-time queue with finite buffer and renewal input

Computers & Mathematics with Applications
Energy-efficient resource allocation in wireless networks with quality-of-service constraints

IEEE Transactions on Communications
Performance analysis of discrete-time queues in slotted networks

ELECTROSCIENCE'05 Proceedings of the 5th WSEAS international conference on Applied electromagnetics, wireless and optical communications
Lagrangian relaxation and constraint generation for allocation and advanced scheduling

Computers and Operations Research
Analysis of a discrete-time queue with geometrically distributed service capacities

ASMTA'12 Proceedings of the 19th international conference on Analytical and Stochastic Modeling Techniques and Applications
Sample-path analysis of general arrival queueing systems with constant amount of work for all customers

Queueing Systems: Theory and Applications

Quantified Score

Hi-index	0.01

Visualization

Abstract

In this paper, a discrete-time multiserver queueing system with infinite buffer size and general independent arrivals is considered. The service times of packets are assumed to be independent and identically distributed according to a geometric distribution. Each packet gets service from only one server. In the paper, the behavior of the queueing system is studied analytically by means of a generating-functions approach. This results in closed-form expressions for the mean values, the variances and the tail distributions of the system contents and the packet delay. Some numerical examples are given to illustrate the analysis.