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Asymptotic exponentiality of the tail of the waiting-time distribution in a Ph/Ph/C queue

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References

1976Stochastic Processes in Queueing Theory674 cited
1978Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector154 cited
1966On the algebra of queues112 cited
1978Renewal processes of phase type105 cited

Cited by

1981Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers78 cited
1996A Transform-Free Approximation for the Finite Capacity M/G/s Queue76 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
1994On the asymptotic behaviour of the stationary distribution of markov chains of M/G/1-type55 cited
1999A fluid queue driven by a Markovian queue46 cited
1987Engineering Calculation of Overflow Probabilities in Buffers with Markov-Interrupted Service46 cited
2000On a synchronization queue with two finite buffers43 cited
1986Approximation of the queue-length distribution of an M/GI/s queue by the basic equations42 cited
2005Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type38 cited

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1996Optimal buffer design of an m/g/s queue with finite capacity∗34 cited

1988An exact FCFS waiting time analysis for a general class of G/G/s queueing systems32 cited

2001A Finite Buffer Fluid Queue Driven by a Markovian Queue31 cited

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

1989Maximum Entropy Analysis of Multiple-server Queueing Systems27 cited

2013Applications in Queueing Theory26 cited