Title
M/G/c/K blocking probability models and system performance
Abstract
An exact solution for the M/G/c/K model is only possible for special cases, such as exponential service, a single server, or no waiting room at all. Instead of basing the approximation on an infinite capacity queue as is often the case, an approximation based on a closed-form expression derivable from the finite capacity exponential queue is presented. Properties of the closed-form expression along with its use in approximating the blocking probability of M/G/c/K systems are discussed. Extensive experiments are provided to test and verify the efficacy of our approximate results.
Year
DOI
Venue
2003
10.1016/S0166-5316(02)00190-6
Perform. Eval.
Keywords
Field
DocType
approximations,probability model,k model,m / g / c / k,system performance,closed-form expression derivable,exact solution,m/g/c/k,blocking probability,infinite capacity queue,approximate result,closed-form expression,exponential service,extensive experiment,finite capacity exponential queue,k system
M/M/1 queue,D/M/1 queue,Combinatorics,G/G/1 queue,M/M/c queue,M/G/1 queue,M/G/k queue,M/D/c queue,Burke's theorem,Mathematics
Journal
Volume
Issue
ISSN
52
4
Performance Evaluation
Citations 
PageRank 
References 
33
1.59
9
Authors
1
Name
Order
Citations
PageRank
J. MacGregor Smith149661.72