Fundamentals of queueing theory (2nd ed.).
Fundamentals of queueing theory (2nd ed.).
Stochastic modelling and analysis: a computational approach
Stochastic modelling and analysis: a computational approach
Asymptotic behavior of the expansion method for open finite queueing networks
Computers and Operations Research
MEM for arbitrary queueing networks with multiple general servers and repetitive-service blocking
Performance Evaluation - Queueing networks with finite capacity queues
Probability, statistics, and queueing theory with computer science applications
Probability, statistics, and queueing theory with computer science applications
Evaluating the overflow probability using the infinite queue
Management Science
Approximate Analysis of Open Network of GE/GE/m/N Queues with Transfer Blocking
MASCOTS '99 Proceedings of the 7th International Symposium on Modeling, Analysis and Simulation of Computer and Telecommunication Systems
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
A Two-Moment Approximation for the GI/G/c Queue with Finite Capacity
INFORMS Journal on Computing
Isolation Method in a Network of Queues
IEEE Transactions on Software Engineering
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Finite buffer, single-server queueing systems and networks are difficult to analyze since the length of time a customer spends in the system does not follow the Markovian property. A two-moment approximation schema is developed for the probability distribution of M/G/1/K systems and extended to the analysis of M/G/1/K queueing networks. The general purpose of this paper is to develop a flexible and practical transform-free approach for computing the probability distribution and performance measures of the system as well as identify the underlying properties of these systems. It is shown that for most performance measures, a sigmoid or S-shaped curve with an inflection point at @r=1 appears as K-~. This has direct implications for the analysis and optimization of such systems. The performance modelling of the M/G/1/K queueing networks of general topologies along with extensive numerical results accompany the paper along with the linear concave performance measures for these systems.