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Asymptotic evaluation of closed queueing networks with many stations

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References

1975Queuing Networks with Multiple Closed Chains: Theory and Computational Algorithms283 cited
1979Closed Exponential Networks of Queues with Saturation: The Jackson-Type Stationary Distribution and Its Asymptotic Analysis132 cited
1982Integral Representations and Asymptotic Expansions for Closed Markovian Queueing Networks: Normal Usage77 cited
1981A Class of Closed Markovian Queuing Networks: Integral Representations, Asymptotic Expansions, and Generalizations*72 cited
1986Asymptotic expansions for closed Markovian networks with state-dependent service rates54 cited

Cited by

1999Bottleneck analysis in multiclass closed queueing networks and its application25 cited
1996Condensation in large closed Jackson networks24 cited
1998Refined Asymptotic Approximations to Loss Probabilities and Their Sensitivities in Shared Unbuffered Resources21 cited
1992Asymptotic analysis of closed queueing networks with bottlenecks20 cited
1996Blocking probabilities for multiple class batched Poisson arrivals to a shared resource16 cited
1998Asymptotic approximations and bottleneck analysis in product form queueing networks with large populations15 cited
1994Asymptotic solutions of generalized multiclass Engset model13 cited
2012Asymptotics and scalings for large product-form networks via the Central Limit Theorem12 cited

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