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Sojourn time distributions in the queue defined by a general QBD process
12 references·7 citing·33 second hop
Sojourn time distributions in the queue defined by a general QBD process (2006)Sojourn time distributions in the queue d…Matrix-Analytic Methods in Stochastic Models (2014)Matrix-Analytic Methods in St…Applied Probability and Queues (2003)Applied Probability and QueuesIntroduction to Matrix Analytic Methods in Stochastic Modeling (1999)Introduction to Matrix Analyt…Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Structured Stochastic Matrice…New results on the single server queue with a batch markovian arrival process (1991)New results on the single ser…From the matrix-geometric to the matrix-exponential (1990)From the matrix-geometric to …A single-server queue with server vacations and a class of non-renewal arrival processes (1990)A single-server queue with se…A duality theorem for the matrix paradigms in queueing theory (1990)A duality theorem for the mat…Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue (1989)Markov processes whose steady…Applied Probability and Queues (1987)Applied Probability and QueuesOptimal Operating Policies for M / G /1 Queuing Systems (1968)Optimal Operating Policies fo…On a Generalized M/G/1 Queuing Process in Which the First Customer of Each Busy Period Receives Exceptional Service (1964)On a Generalized M/G/1 Queuin…On the Stochastic and Asymptotic Improvement of First-Come First-Served and Nudge Scheduling (2022)On the Stochastic and Asympto…Waiting-time analysis of D-$${ BMAP}{/}G{/}1$$BMAP/G/1 queueing system (2015)Waiting-time analysis of D-$$…Commuting Matrices in the Queue Length and Sojourn Time Analysis of MAP/MAP/1 Queues (2014)Commuting Matrices in the Que…Analysis of B M A P/M S P/1 Queue (2014)Analysis of B M A P/M S P/1 Q…Applications in Queueing Theory (2013)Applications in Queueing Theo…ANALYTICALLY EXPLICIT RESULTS FOR THE GI/C-MSP/1/∞ QUEUEING SYSTEM USING ROOTS (2012)ANALYTICALLY EXPLICIT RESULTS…Queues where customers of one queue act as servers of the other queue (2008)Queues where customers of one…Queueing Systems with a Removable Service Station (1963)Optimal control of batch service queues (1973)A Classified Bibliography of Research on Optimal Design and Control of Queues (1977)A Unifying View of Hybrid Simulation/Analytic Models and Modeling (1983)The Queueing Network Analyzer (1983)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)The Markov-modulated Poisson process (MMPP) cookbook (1993)Modeling IP traffic using the batch Markovian arrival process (2003)Introduction to the Theory of Queues. (1963)A note on stochastic decomposition in a GI/G/1 queue with vacations or set-up times (1985)Queueing Systems with Service Interruptions (1986)Server farms with setup costs (2010)Queueing systems with vacations ? A survey (1986)Marked point processes as limits of Markovian arrival streams (1993)Traffic modeling for telecommunications networks (1994)The Batch Markovian Arrival Process: A Review and Future Work (2001)Fundamentals of Queueing Theory. (1977)The Single Server Queue (1983)Matrix-geometric solutions in stochastic models (1985)A Queue with Service Interruptions in an Alternating Random Environment (1990)Computational methods in risk theory: A matrix-algorithmic approach (1992)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Fundamentals of Matrix-Analytic Methods (2013)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Asset Pricing with Heterogeneous Consumers (1996)Risk theory in a Markovian environment (1989)An Introduction to Numerical Transform Inversion and Its Application to Probability Models (2000)M/G/1 queue with multiple working vacations (2005)A Stochastic Model for Order Book Dynamics (2010)Ruin probabilities for Erlang(2) risk processes (1998)A Review on Phase-type Distributions and their Use in Risk Theory (2005)Matrix-analytic methods for fluid queues with finite buffers (2005)
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References

  • 1987Applied Probability and Queues2,704 cited
  • 1999Introduction to Matrix Analytic Methods in Stochastic Modeling1,988 cited
  • 2003Applied Probability and Queues1,453 cited
  • 1991New results on the single server queue with a batch markovian arrival process1,085 cited
  • 1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.996 cited
  • 1990A single-server queue with server vacations and a class of non-renewal arrival processes535 cited
  • 1968Optimal Operating Policies for M / G /1 Queuing Systems339 cited
  • 1964On a Generalized M/G/1 Queuing Process in Which the First Customer of Each Busy Period Receives Exceptional Service225 cited
  • 2014Matrix-Analytic Methods in Stochastic Models134 cited
  • 1989Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue108 cited
  • 1990A duality theorem for the matrix paradigms in queueing theory90 cited
  • 1990From the matrix-geometric to the matrix-exponential44 cited

Cited by

  • 2012ANALYTICALLY EXPLICIT RESULTS FOR THE GI/C-MSP/1/∞ QUEUEING SYSTEM USING ROOTS27 cited
  • 2013Applications in Queueing Theory26 cited
  • 2014Analysis of B M A P/M S P/1 Queue

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20 cited
  • 2022On the Stochastic and Asymptotic Improvement of First-Come First-Served and Nudge Scheduling19 cited
  • 2008Queues where customers of one queue act as servers of the other queue18 cited
  • 2014Commuting Matrices in the Queue Length and Sojourn Time Analysis of MAP/MAP/1 Queues17 cited
  • 2015Waiting-time analysis of D-$${ BMAP}{/}G{/}1$$BMAP/G/1 queueing system15 cited