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Analysis of an Infinite-Server Queue with Batch Markovian Arrival Streams
7 references·2 citing·34 second hop
Analysis of an Infinite-Server Queue with Batch Markovian Arrival Streams (2002)Analysis of an Infinite-Server Queue with…Mt/G/∞ Queues with Sinusoidal Arrival Rates (1993)Mt/G/∞ Queues with Sinusoidal…Marked point processes as limits of Markovian arrival streams (1993)Marked point processes as lim…New results on the single server queue with a batch markovian arrival process (1991)New results on the single ser…On the GIX/G/∞ system (1990)On the GIX/G/∞ systemOn the service system MX/G/∞ (1983)On the service system MX/G/∞Some explicit formulas and computational methods for infinite-server queues with phase-type arrivals (1980)Some explicit formulas and co…On infinite server queues with batch arrivals (1966)On infinite server queues wit…On the Distributions of Infinite Server Queues With Batch Arrivals (2018)On the Distributions of Infin…Analysis and computation of the stationary distribution in a special class of Markov chains of level-dependent M/G/1-type and its application to BMAP/M/ $$\infty $$ ∞ and BMAP/M/c+M queues (2016)Analysis and computation of t…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)The BMAP/G/1 queue: A tutorial (2005)Monotonicity in Markov Reward and Decision Chains: Theory and Applications (2006)The Queueing Network Analyzer (1983)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)A single-server queue with server vacations and a class of non-renewal arrival processes (1990)The Markov-modulated Poisson process (MMPP) cookbook (1993)Modeling IP traffic using the batch Markovian arrival process (2003)On Regenerative Processes in Queueing Theory (1976)A First Course in Bulk Queues (1983)Introduction to the Theory of Queues. (1963)Letter to the Editor—The Output of an M/G/∞ Queuing System is Poisson (1963)Some results for infinite server poisson queues (1969)Erlang's formula and some results on the departure process for a loss system (1973)Nonparametric Inference About Service Time Distribution from Indirect Measurements (2004)Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes (1995)Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory (2006)A simple algorithm for the rate matrices of level-dependent QBD processes (2010)Busy period in GIX/G/∞ (1996)Linear stochastic fluid networks (1999)INFINITE-SERVER QUEUES WITH BATCH ARRIVALS AND DEPENDENT SERVICE TIMES (2012)Introduction to Stochastic Processes (2014)The Physics of the Mt/G/∞ Queue (1993)Batch arrival queue with N-policy and single vacation (1995)Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)Renewal processes of phase type (1978)The c — Server Queue with Constant Service Times and a Versatile Markovian Arrival Process (1982)On the Overflow Process from a Finite Markovian Queue (1984)Production-inventory systems in stochastic environment and stochastic lead times (2011)Erlang-R: A Time-Varying Queue with Reentrant Customers, in Support of Healthcare Staffing (2014)Performance analysis of time-dependent queueing systems: Survey and classification (2015)Staffing and scheduling under nonstationary demand for service: A literature review (2015)
this work references cited by second hop

References

  • 1991New results on the single server queue with a batch markovian arrival process1,085 cited
  • 1993Marked point processes as limits of Markovian arrival streams234 cited
  • 1993Mt/G/∞ Queues with Sinusoidal Arrival Rates167 cited
  • 1990On the GIX/G/∞ system77 cited
  • 1966On infinite server queues with batch arrivals75 cited
  • 1980Some explicit formulas and computational methods for infinite-server queues with phase-type arrivals43 cited
  • 1983On the service system MX/G/∞26 cited

Cited by

  • 2016Analysis and computation of the stationary distribution in a special class of Markov chains of level-dependent M/G/1-type and its application to BMAP/M/ $$\infty $$ ∞ and BMAP/M/c+M queues19 cited
  • 2018On the Distributions of Infinite Server Queues With Batch Arrivals17 cited

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