Closed multichain product form queueing networks with large population sizes

SS Lavenberg, SC Bruell - … -Computer Science: The Interface Volume 1, 1982 - Springer
We consider closed multichain product form queueing networks which have at least one
infinite server service center. When modeling interactive computer systems an infinite server …

[PDF][PDF] Corrigendum:``Mean-Value Analysis of Closed Multichain Queuing Networks''

M Reiser, SS Lavenberg - Journal of the ACM (JACM), 1981 - dl.acm.org
In Section 4 of our paper we proposed an iterative algorithm to compute approximate values
for mean queue sizes, mean waiting times, and throughputs in closed multichain queuing …

Approximating response time distributions in closed queueing network models of computer performance

S Salza, SS Lavenberg - 1981 - osti.gov
Hierarchical decomposition methods for approximating response time distributions in certain
closed queueing network models of computer performance are investigated. The methods …

Approximations for large scale closed queueing networks

WM Chow - Performance Evaluation, 1983 - Elsevier
Abstract Evaluation of closed queueing networks with product form solutions is very time-
consuming if the population sizes or the network size is large. This paper provides an …

Numerical solution of some multiple chain queueing networks

CH Sauer - ACM SIGMETRICS Performance Evaluation Review, 1981 - dl.acm.org
Queueing networks are important as performance models of computer and communication
systems because the performance of these systems is usually principally affected by …

[PDF][PDF] Asymptotic expansions and integral representations of moments of queue lengths in closed Markovian networks

J McKenna, D Mitra - Journal of the ACM (JACM), 1984 - dl.acm.org
In this paper a method for calculating the first and higher order moments of the queue
lengths for each customer class at each node in a dosed Markovian queuing network is …

Asymptotic approximations for a queueing network with multiple classes

JD Mei, C Tier - SIAM Journal on Applied Mathematics, 1994 - SIAM
An asymptotic method is described for analyzing the performance of closed, multiple class
queueing networks. The networks consist of an infinite server or terminal node, a large …

Operational aspects of centralized queueing networks

J Bouhana - 1978 - minds.wisconsin.edu
We consider mathematical models of multiprogrammed computer systems expressed in the
form of closed queueing networks. Such models have traditionally required detailed …

A class of closed Markovian queuing networks: integral representations, asymptotic expansions, and generalizations

J McKenna, D Mitra… - Bell System Technical …, 1981 - Wiley Online Library
Closed Markovian networks of queues that have the product form in their stationary
probability distributions are useful in the performance evaluation and design of computer …

Successively improving bounds on performance measures for single class product form queueing networks

MM Srinivasan - IEEE transactions on computers, 1987 - ieeexplore.ieee.org
The use of queueing network models to analyze the performance of computer systems is
widespread. Typically the analysis requires certain assumptions to be made. Even under …