Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions
Journal of the ACM (JACM)
Approximate Analysis of Load Dependent General Queueing Networks
IEEE Transactions on Software Engineering
Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions
Journal of the ACM (JACM)
Queueing Networks: A Critique of the State of the Art and Directions for the Future
ACM Computing Surveys (CSUR)
The Markov modulated regulated Brownian motion: A second-order fluid flow model of a finite buffer
Queueing Systems: Theory and Applications
A Tool to Model Network Transient States with the Use of Diffusion Approximation
TOOLS '98 Proceedings of the 10th International Conference on Computer Performance Evaluation: Modelling Techniques and Tools
Transient diffusion approximation for some queuening systems.
SIGMETRICS '83 Proceedings of the 1983 ACM SIGMETRICS conference on Measurement and modeling of computer systems
Survey of analytic queueing network models of computer systems
SIGMETRICS '79 Proceedings of the 1979 ACM SIGMETRICS conference on Simulation, measurement and modeling of computer systems
A critical overview of computer performance evaluation
ICSE '76 Proceedings of the 2nd international conference on Software engineering
Studies in Markov models of computer systems
ACM '75 Proceedings of the 1975 annual conference
Beyond fluid models: modelling TCP mice in IP networks under non-stationary random traffic
Computer Networks: The International Journal of Computer and Telecommunications Networking
A Fokker-Planck equation method predicting Buffer occupancy in a single queue
Computer Networks: The International Journal of Computer and Telecommunications Networking
VLDB '77 Proceedings of the third international conference on Very large data bases - Volume 3
Stochastic Process Models for Packet/Analytic-Based Network Simulations
Proceedings of the 22nd Workshop on Principles of Advanced and Distributed Simulation
A Diffusion Approximation Analysis of Multilevel Ad Hoc and Sensor Networks
ADHOC-NOW '09 Proceedings of the 8th International Conference on Ad-Hoc, Mobile and Wireless Networks
Diffusion approximation as a modelling tool
Network performance engineering
Approximate techniques for modeling the performance of complex systems
Computer Languages
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Quite often explicit information about the behavior of a queue over a fairly short period is wanted. This requires solving the nonequilibrium solution of the queue-length distribution, which is usually quite difficult mathematically. The first half of Part II shows how the diffusion process approximation can be used to answer this question. A transient solution is obtained for a cyclic queueing model using the technique of eigenfunction expansion. The second half of Part II applies the earlier results of Part I to modeling and performance problems of a typical multiprogrammed computer system. Such performance measures as utilization, throughput, response time and its distribution, etc., are discussed in some detail.