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Geometric Decay in a QBD Process with Countable Background States with Applications to a Join-the-Shortest-Queue Model

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References

1983Boundary Value Problems in Queueing System Analysis235 cited
1961Two Similar Queues in Parallel219 cited
1977Two queues in parallel153 cited
2001Join the shortest queue: stability and exact asymptotics145 cited
1990J.comput. appl. math129 cited
1993A compensation approach for two-dimensional Markov processes114 cited
1984Boundary value problems in queueing system analysis81 cited
2004The stationary tail asymptotics in the GI/G/1-type queue with countably many background states74 cited
2004Spectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process71 cited
2001GEOMETRIC DECAY OF THE STEADY-STATE PROBABILITIES IN A QUASI-BIRTH-AND-DEATH PROCESS WITH A COUNTABLE NUMBER OF PHASES55 cited
1988Boundary value problems in queueing theory54 cited

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2014Tail Asymptotics of the Stationary Distribution of a Two-Dimensional Reflecting Random Walk with Unbounded Upward Jumps27 cited
2016

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Steady-state analysis of shortest expected delay routing

26 cited

2012Asymptotics for the stationary distribution in a discrete-time two-dimensional quasi-birth-and-death process24 cited

2013The shorter queue polling model20 cited

2009On the stationary distribution of queue lengths in a multi-class priority queueing system with customer transfers19 cited

2007Stationary tail asymptotics of a tandem queue with feedback18 cited

2015A superharmonic vector for a nonnegative matrix with QBD block structure and its application to a Markov-modulated two-dimensional reflecting process18 cited

2016Steady-state analysis of shortest expected delay routing17 cited