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Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers

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References

1978Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector154 cited
1978Renewal processes of phase type105 cited
1981Asymptotic exponentiality of the tail of the waiting-time distribution in a Ph/Ph/C queue80 cited

Cited by

2002On the theory of general on-off sources with applications in high-speed networks74 cited
1991On the performance of bursty and correlated sources subject to leaky bucket rate-based access control schemes62 cited
2011Light tail asymptotics in multidimensional reflecting processes for queueing networks59 cited
2001GEOMETRIC DECAY OF THE STEADY-STATE PROBABILITIES IN A QUASI-BIRTH-AND-DEATH PROCESS WITH A COUNTABLE NUMBER OF PHASES55 cited
1985Stationary waiting time distribution in queues with phase type service and in quasi-birth-and-death processes54 cited
1985The slow server problem50 cited
2005An M/M/2 queueing system with heterogeneous servers and multiple vacations42 cited
2005Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type38 cited
2013Transient analysis of a two-heterogeneous servers queue with impatient behavior37 cited
1994On the performance of bursty and modulated sources subject to leaky bucket rate-based access control schemes35 cited

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1996

Optimal buffer design of an m/g/s queue with finite capacity∗

34 cited

1995The probability of large queue lengths and waiting times in a heterogeneous multiserver queue I: Tight limits29 cited

1982The c — Server Queue with Constant Service Times and a Versatile Markovian Arrival Process29 cited

2012An M/M/2 Queueing System with Heterogeneous Servers Including One with Working Vacation27 cited

2000Perturbation Theory for the Asymptotic Decay Rates in the Queues with Markovian Arrival Process and/or Markovian Service Process26 cited

2017Heterogeneous two-server queueing system with reverse balking and reneging23 cited