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An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals

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References

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1984Approximating a Point Process by a Renewal Process, II: Superposition Arrival Processes to Queues164 cited
1980A Class of Data Traffic Processes-Covariance Function Characterization and Related Queuing Results157 cited
1984The asymptotic behavior o queues with time-varying arrival rates80 cited

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1992Computational methods in risk theory: A matrix-algorithmic approach86 cited
1990The semi-markovian queue: theory and applications63 cited
1988A multiclass feedback queue in heavy traffic63 cited
1988An Interpolation Approximation for Queueing Systems with Poisson Input62 cited
1990Diffusion approximations for queues with server vacations58 cited
1989An Interpolation Approximation for the Mean Workload in a GI/G/1 Queue58 cited
1994Queueing-theoretic solution methods for models of parallel and distributed systems57 cited
1990One-Dependent Regenerative Processes and Queues in Continuous Time57 cited
1986The Queue M|G|1 with Markov Modulated Arrivals and Services53 cited
1991

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Ladder heights and the Markov-modulated M/G/1 queue

52 cited

1988Queues as Harris recurrent Markov chains38 cited

1992Discrete-time priority queues with two-state markov modulated arrivals36 cited

1990A network of priority queues in heavy traffic: One bottleneck station32 cited

1992Evaluation of base-stock policies in multiechelon inventory systems with state-dependent demands part I: State-independent policies26 cited

1986The single server semi-markov queue26 cited

1996The Departure Process of the GI/G/1 Queue and Its MacLaurin Series24 cited