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On the asymptotic behaviour of the stationary distribution of markov chains of M/G/1-type

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References

1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.996 cited
1990A single-server queue with server vacations and a class of non-renewal arrival processes535 cited
1988A stable recursion for the steady state vector in markov chains of m/g/1 type285 cited
1959Imbedded Markov Chain Analysis of a Waiting-Line Process in Continuous Time108 cited
1985Opsearch88 cited
1985Tables for multi-server queues85 cited
1981Asymptotic exponentiality of the tail of the waiting-time distribution in a Ph/Ph/C queue80 cited
1977Some explicit formulas for the steady-state behavior of the queue with semi-Markovian service times68 cited

Cited by

2005Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type38 cited
2000Perturbation Theory for the Asymptotic Decay Rates in the Queues with Markovian Arrival Process and/or Markovian Service Process26 cited
1999Loss probability in a finite discrete-time queue in terms of the steady state distribution of an infinite queue26 cited
2012Tail asymptotics of the queue size distribution in the M/M/m retrial queue23 cited
2010Tail asymptotics for the queue size distribution in the MAP/G/1 retrial queue

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22 cited

2004Geometric and Subexponential Asymptotics of Markov Chains of M/G/1 Type21 cited

2006The Impact of Buffer Finiteness on the Loss Rate in a Priority Queueing System20 cited

1994A heavy-traffic expansion for asymptotic decay rates of tail probabilities in multichannel queues17 cited

2009Queue size distribution in a discrete-time D-BMAP/G/1 retrial queue16 cited

2010Light-Tailed Asymptotics of Stationary Tail Probability Vectors of Markov Chains of M/G/1 Type15 cited

2001Perturbation Theory for the Asymptotic Decay Rates in the Queues with Markovian Arrival Process and/or Markovian Service Process – Correction15 cited

2011Subexponential asymptotics of the stationary distributions of M/G/1-type Markov chains14 cited

2013Subexponential Asymptotics of the Stationary Distributions of GI/G/1-Type Markov Chains13 cited

2010On the Dual Relationship Between Markov Chains of GI/M/1 and M/G/1 Type13 cited

2002Bounds for the tail distribution in a queue with the superposition of general periodic Markov sources12 cited