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Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue

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References

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1992Phase-Type Representations in Random Walk and Queueing Problems84 cited
1994The workload in theMAP/G/1 queue with state-dependent services:its application to a queue with preemptive resume priority78 cited
2010Markovian arrivals in stochastic modelling: a survey and some new results70 cited
1990The semi-markovian queue: theory and applications63 cited
1994Matrix product-form solutions for Markov chains with a tree structure60 cited
1994Large claims approximations for risk processes in a Markovian environment

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56 cited

1991Ladder heights and the Markov-modulated M/G/1 queue52 cited

1990From the matrix-geometric to the matrix-exponential44 cited

2006Sojourn time distributions in the queue defined by a general QBD process41 cited

2001Calculation of the Steady State Waiting Time Distribution in GI/PH/c and MAP/PH/c Queues39 cited

1992An approximation for the sojourn-time distribution for the gi/g/1 processor-sharing queue35 cited

2015Beyond the mean in fork-join queues: Efficient approximation for response-time tails32 cited