Product Form in Discrete-Time Queueing Networks: New Issues

Authors:
Guy Pujolle
Affiliations:
-
Venue:
MASCOTS '95 Proceedings of the 3rd International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems
Year:
1995

Citing 4
Cited 1

Closed queueing networks with batch services

Queueing Systems: Theory and Applications
Product form in networks of queues with batch arrivals and batch services

Queueing Systems: Theory and Applications
Product-form discrete-time queues in series with batch transition: late arrival case

Performance Evaluation
Queueing systems for modelling ATM networks

Proceedings of the IFIP WG 7.3 International Conference on Performance of Distributed Systems and Integrated Communication Networks

Queueing network analysis: concepts, terminology, and methods

Journal of Systems and Software

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Abstract

This paper presents product form equilibrium distributions for different types of discrete-time queueing systems, in which group transitions are allowed both for arrival and service processes. Only the late arrival case is considered. When the system is open the product form is valid when we assume a geometric arrival process and a truncated geometric service time distribution. Then, we develop some new results for closed discrete-time queueing networks where the number of customers served out follows a truncated Poisson process.