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ON THE INFINITE SERVER SHORTEST QUEUE PROBLEM: SYMMETRIC CASE
16 references·1 citing·31 second hop
ON THE INFINITE SERVER SHORTEST QUEUE PROBLEM: SYMMETRIC CASE (2005)ON THE INFINITE SERVER SHORTEST QUEUE PRO…Some diffusion approximations with state space collapse (2006)Some diffusion approximations…Join the shortest queue: stability and exact asymptotics (2001)Join the shortest queue: stab…Chaoticity on path space for a queueing network with selection of the shortest queue among several (2000)Chaoticity on path space for …Minimizing response times and queue lengths in systems of parallel queues (1999)Minimizing response times and…Upper and lower bounds for the waiting time in the symmetric shortest queue system (1994)Upper and lower bounds for th…The Power-Series Algorithm Applied to the Shortest-Queue Model (1992)The Power-Series Algorithm Ap…Analysis of the asymmetric shortest queue problem (1991)Analysis of the asymmetric sh…Analysis of the asymmetric shortest queue problem with threshold jockeying (1991)Analysis of the asymmetric sh…The shortest queue model with jockeying (1990)The shortest queue model with…J.comput. appl. math (1990)J.comput. appl. mathThe shortest queue problem (1985)The shortest queue problemThe shorter queue problem: A numerical study using the matrix-geometric solution (1984)The shorter queue problem: A …Boundary Value Problems in Queueing System Analysis (1983)Boundary Value Problems in Qu…A Basic Dynamic Routing Problem and Diffusion (1978)A Basic Dynamic Routing Probl…Two queues in parallel (1977)Two queues in parallelTwo Similar Queues in Parallel (1961)Two Similar Queues in ParallelOn the infinite server shortest queue problem: Non-symmetric case (2006)On the infinite server shorte…On the Stochastic Matrices Associated with Certain Queuing Processes (1953)Matrix-Geometric Solutions to Stochastic Models (1984)On the analysis of randomized load balancing schemes (1997)Queueing Models with Multiple Waiting Lines (2001)Comparison Methods for Queues and Other Stochastic Models (1984)Blocking When Service Is Required From Several Facilities Simultaneously (1985)Comparison Methods for Queues and Other Stochastic Models. (1986)On the maximum queue length in the supermarket model (2006)Risk-Sensitive Mean-Field Games (2013)Scalable Load Balancing in Networked Systems: A Survey of Recent Advances (2022)Multiple channel queues in heavy traffic. I (1970)Open Queueing Networks in Heavy Traffic (1984)Dynamic Scheduling of a Multiclass Make-to-Stock Queue (1992)Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling (1993)On Pooling in Queueing Networks (1998)Matrix-geometric solutions in stochastic models (1985)Bounds for performance characteristics: a systematic approach via cost structures (1998)The stationary tail asymptotics in the GI/G/1-type queue with countably many background states (2004)Tail Decay Rates in Double QBD Processes and Related Reflected Random Walks (2009)Introduction to Stochastic Processes (2014)Large Deviations For Performance Analysis (2019)Stochastic Differential Equations (1972)Queueing Systems. Volume 1: Theory (1975)STOCHASTIC DIFFERENTIAL EQUATIONS: THEORY AND APPLICATIONS (1976)Resource pooling in queueing networks with dynamic routing (1992)On the Power of (Even a Little) Resource Pooling (2012)Join the Shortest Queue with Many Servers. The Heavy-Traffic Asymptotics (2018)TWO QUEUES IN PARALLEL (1958)Exact Results for Nonsymmetric Token Ring Systems (1985)A compensation approach for two-dimensional Markov processes (1993)Analysis of join-the-shortest-queue routing for web server farms (2007)
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References

  • 1983Boundary Value Problems in Queueing System Analysis235 cited
  • 1961Two Similar Queues in Parallel219 cited
  • 2006Some diffusion approximations with state space collapse175 cited
  • 1978A Basic Dynamic Routing Problem and Diffusion168 cited
  • 1977Two queues in parallel153 cited
  • 2001Join the shortest queue: stability and exact asymptotics145 cited
  • 2000Chaoticity on path space for a queueing network with selection of the shortest queue among several132 cited
  • 1990J.comput. appl. math129 cited
  • 1991Analysis of the asymmetric shortest queue problem90 cited
  • 1994Upper and lower bounds for the waiting time in the symmetric shortest queue system88 cited
  • 1985The shortest queue problem83 cited
  • 1991Analysis of the asymmetric shortest queue problem with threshold jockeying76 cited
  • 1992The Power-Series Algorithm Applied to the Shortest-Queue Model61 cited
  • 1990The shortest queue model with jockeying48 cited
  • 1999Minimizing response times and queue lengths in systems of parallel queues42 cited
  • 1984The shorter queue problem: A numerical study using the matrix-geometric solution

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42 cited

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  • 2006On the infinite server shortest queue problem: Non-symmetric case12 cited