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Higher Order Moments and Conditional Asymptotics of the Batch Markovian Arrival Process
16 references·1 citing·28 second hop
Higher Order Moments and Conditional Asymptotics of the Batch Markovian Arrival Process (2007)Higher Order Moments and Conditional Asym…Markov-additive processes of arrivals (2023)Markov-additive processes of …Advances in Queueing Theory, Methods, and Open Problems (2023)Advances in Queueing Theory, …The BMAP/G/1 queue: A tutorial (2005)The BMAP/G/1 queue: A tutorialTransient Markov arrival processes (2003)Transient Markov arrival proc…Matrix‐Exponential Distributions: Calculus and Interpretations via Flows (2003)Matrix‐Exponential Distributi…Point processes with finite-dimensional conditional probabilities (1999)Point processes with finite-d…An Algorithm for the P(n,t) Matrices of a Continuous BMAP (1996)An Algorithm for the P(n,t) M…The Markov-modulated Poisson process (MMPP) cookbook (1993)The Markov-modulated Poisson …Marked point processes as limits of Markovian arrival streams (1993)Marked point processes as lim…The first two moment matrices of the counts for the markovian arrival process (1992)The first two moment matrices…Statistical multiplexing of VBR sources: A matrix-analytic approach (1992)Statistical multiplexing of V…New results on the single server queue with a batch markovian arrival process (1991)New results on the single ser…A single-server queue with server vacations and a class of non-renewal arrival processes (1990)A single-server queue with se…The SPP/G/1 queue: A single server queue with a switched Poisson process as input process (1983)The SPP/G/1 queue: A single s…The N/G/1 queue and its detailed analysis (1980)The N/G/1 queue and its detai…The Interrupted Poisson Process As An Overflow Process (1973)The Interrupted Poisson Proce…Call center data modeling: a queueing science approach based on Markovian arrival process (2024)Call center data modeling: a …A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)An EM Algorithm for Batch Markovian Arrival Processes and its Comparison to a Simpler Estimation Procedure (2002)Markovian arrivals in stochastic modelling: a survey and some new results (2010)Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues and Other Stochastic Models. (1986)Structural results for the control of queueing systems using event-based dynamic programming (1998)Monotonicity in Markov Reward and Decision Chains: Theory and Applications (2006)The Queueing Network Analyzer (1983)Modeling IP traffic using the batch Markovian arrival process (2003)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Discrete-time multiserver queues with geometric service times (2003)A multi-station unreliable machine model with working vacation policy and customers’ impatience (2022)Queueing systems with vacations ? A survey (1986)Traffic modeling for telecommunications networks (1994)The Batch Markovian Arrival Process: A Review and Future Work (2001)Introduction to the Theory of Queues (1963)Introduction to the Theory of Queues. (1963)A stable recursion for the steady state vector in markov chains of m/g/1 type (1988)Chapter 11 Rare-Event Simulation Techniques: An Introduction and Recent Advances (2006)Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory (2006)Queue-and-Idleness-Ratio Controls in Many-Server Service Systems (2009)Queueing Models for Computer Communications System Analysis (1977)Queueing Networks: A Survey of Their Random Processes (1985)Heavy-traffic asymptotic expansions for the asymptotic decay rates in the BMAP/G/ 1 queue (1994)Introduction to Queueing Theory and Stochastic Teletraffic Models (2013)A Dynamic Approach to Rebalancing Bike-Sharing Systems (2018)
this work references cited by second hop

References

  • 1991New results on the single server queue with a batch markovian arrival process1,085 cited
  • 1993The Markov-modulated Poisson process (MMPP) cookbook886 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
  • 1973The Interrupted Poisson Process As An Overflow Process252 cited
  • 1993Marked point processes as limits of Markovian arrival streams234 cited
  • 2005The BMAP/G/1 queue: A tutorial199 cited
  • 2023Advances in Queueing Theory, Methods, and Open Problems165 cited
  • 1992Statistical multiplexing of VBR sources: A matrix-analytic approach138 cited
  • 1992The first two moment matrices of the counts for the markovian arrival process67 cited
  • 2003Matrix‐Exponential Distributions: Calculus and Interpretations via Flows54 cited
  • 1999Point processes with finite-dimensional conditional probabilities51 cited
  • 1983The SPP/G/1 queue: A single server queue with a switched Poisson process as input process36 cited
  • 1996An Algorithm for the P(n,t) Matrices of a Continuous BMAP35 cited
  • 2023Markov-additive processes of arrivals32 cited

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  • 2003Transient Markov arrival processes27 cited
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    • 2024Call center data modeling: a queueing science approach based on Markovian arrival process14 cited