Communications of the ACM · 1973 · 865 citations · 5 references
EngineeringNetwork AnalysisQueueing TheoryOperations ResearchComputational AlgorithmsStochastic NetworkSystems EngineeringLogisticsStorage Allocation StrategiesNetwork OptimizationCombinatorial OptimizationComputer EngineeringComputer ScienceQueueing SystemsExponential AlgorithmExponential ServersCloud ComputingPerformance ModelingBusinessFluid Queue
Methods are presented for computing the equilibrium distribution of customers in closed queueing networks with exponential servers. Expressions for various marginal distributions are also derived. The computational algorithms are based on two-dimensional iterative techniques which are highly efficient and quite simple to implement. Implementation considerations such as storage allocation strategies and order of evaluation are examined in some detail.
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James R. Jackson · Management Science · 1963 · 890 citations
James R. Jackson · Management Science · 2004 · 740 citations
Closed Queuing Systems with Exponential Servers
William J. Gordon, G. F. Newell · Operations Research · 1967 · 682 citations