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The first two moment matrices of the counts for the markovian arrival process

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References

1986A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance1,247 cited
1991New results on the single server queue with a batch markovian arrival process1,085 cited
1990A single-server queue with server vacations and a class of non-renewal arrival processes535 cited
1980The N/G/1 queue and its detailed analysis286 cited
1985Opsearch88 cited

Cited by

1999Point processes with finite-dimensional conditional probabilities51 cited
1994Heavy-traffic asymptotic expansions for the asymptotic decay rates in the BMAP/G/ 1 queue43 cited
1996An Algorithm for the P(n,t) Matrices of a Continuous BMAP35 cited
2008The asymptotic variance rate of the output process of finite capacity birth-death queues31 cited
2003Transient Markov arrival processes27 cited
2018Continuous inventory control with stochastic and non-stationary Markovian demand18 cited
2007Higher Order Moments and Conditional Asymptotics of the Batch Markovian Arrival Process17 cited
1997EIGENVALUE EXPRESSION FOR A BATCH MARKOVIAN ARRIVAL PROCESS17 cited
1996Transient behaviour of queueing systems with correlated traffic16 cited

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1996

Transient behaviour of queueing systems with correlated traffic

15 cited

2024Call center data modeling: a queueing science approach based on Markovian arrival process14 cited

2004On the Time Reversal of Markovian Arrival Processes14 cited

2003A QUEUE WITH POSITIVE AND NEGATIVE ARRIVALS GOVERNED BY A MARKOV CHAIN14 cited