Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions
Journal of the ACM (JACM)
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
On Approximate Computer System Models
Journal of the ACM (JACM)
Calculating equilibrium probabilities for &lgr;(n)/Ck/1/N queues
PERFORMANCE '80 Proceedings of the 1980 international symposium on Computer performance modelling, measurement and evaluation
SIGMETRICS '82 Proceedings of the 1982 ACM SIGMETRICS conference on Measurement and modeling of computer systems
Approximate Analysis of Load Dependent General Queueing Networks
IEEE Transactions on Software Engineering
Nonexponential networks of queues: a maximum entropy analysis
SIGMETRICS '85 Proceedings of the 1985 ACM SIGMETRICS conference on Measurement and modeling of computer systems
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The so-called iterative methods are among a class of methods that have recently been applied to obtain approximate solutions to general queueing networks. In this paper it is shown that if the network contains feedback loops, then it is more advantageous to incorporate these loops into the analysis of the station itself rather than into the analysis of the complement of the station. We show how this analysis may be performed for a simple two-phase Coxian server. Additionally, it is shown that the number of iterations required to achieve a specified degree of accuracy may be considerably reduced by using a continuous updating procedure in which the computed throughputs are incorporated as soon as they are available, rather than at the end of an iteration. An efficient computational scheme is presented to accompany this continuous updating. Finally a number of examples are provided to illustrate these features.