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The Heavy Traffic Diffusion Approximation for Sojourn Times in Jackson Networks

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References

1957Networks of Waiting Lines1,215 cited
1984Open Queueing Networks in Heavy Traffic449 cited
1981Reflected Brownian Motion on an Orthant390 cited
1957Waiting Times When Queues are in Tandem222 cited
1981On the Distribution of Multidimensional Reflected Brownian Motion118 cited
1980Sojourn times and the overtaking condition in Jacksonian networks99 cited

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2002Stochastic networks and activity analysis72 cited
1993Processing Networks with Parallel and Sequential Tasks: Heavy Traffic Analysis and Brownian Limits49 cited
2016Does the Past Predict the Future? The Case of Delay Announcements in Service Systems47 cited
2012Dynamic scheduling of a GI/GI/1+GI queue with multiple customer classes45 cited
2008Optimal control of a high-volume assemble-to-order system with maximum leadtime quotation and expediting40 cited
2012Hazard Rate Scaling of the Abandonment Distribution for the GI/M/n + GI Queue in Heavy Traffic36 cited
2018Dynamic Scheduling in a Many-Server, Multiclass System: The Role of Customer Impatience in Large Systems35 cited
2017An Equilibrium Analysis of a Multiclass Queue with Endogenous Abandonments in Heavy Traffic35 cited

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1994

Fluid limits and diffusion approximations for networks of multi-server queues in heavy traffic

28 cited

1993Travel and Sojourn Times in Stochastic Networks23 cited

1986Sojourn times in a tandem queue with overtaking: reduction to a boundary value problem22 cited

2005Fractional Brownian Heavy Traffic Approximations of Multiclass Feedforward Queueing Networks21 cited