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Some steady-state distributions for theMAP /SM /1 queue
2 references·16 citing·43 second hop
Some steady-state distributions for theMAP /SM /1 queue (1994)Some steady-state distributions for theMA…Models Based on the Markovian Arrival Process (1992)Models Based on the Markovian…New results on the single server queue with a batch markovian arrival process (1991)New results on the single ser…Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks (2017)Queueing systems with correla…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…Markovian bulk-arrival and bulk-service queues with state-dependent control (2010)Markovian bulk-arrival and bu…The infinite-buffer single server queue with a variant of multiple vacation policy and batch Markovian arrival process (2008)The infinite-buffer single se…Fundamental characteristics of queues with fluctuating load (2006)Fundamental characteristics o…A BMAP/G/1 Retrial Queue with a Server Subject to Breakdowns and Repairs (2006)A BMAP/G/1 Retrial Queue with…Markovian bulk-arriving queues with state-dependent control at idle time (2004)Markovian bulk-arriving queue…Output models of MAP/PH/1(/K) queues for an efficient network decomposition (2002)Output models of MAP/PH/1(/K)…The BMAP/SM/1 retrial queue with controllable operation modes (2001)The BMAP/SM/1 retrial queue w…BMAP/SM/1 queue with Markovian input of disasters and non-instantaneous recovery (2001)BMAP/SM/1 queue with Markovia…A retrial BMAP/SM/1 system with linear repeated requests (2000)A retrial BMAP/SM/1 system wi…A BMAP/SM/1 queueing system with Markovian arrival input of disasters (1999)A BMAP/SM/1 queueing system w…On the relationship between queue lengths at a random instant and at a departure in the stationary queue with bmap arrivals (1998)On the relationship between q…Multi‐dimensional quasitoeplitz Markov chains (1998)Multi‐dimensional quasitoepli…Numerical Computation of the Moments of a Probability Distribution from its Transform (1996)Numerical Computation of the …A survey of retrial queues (1990)Retrial Queues (1997)Analysis of the BMAP/G/1 retrial system with search of customers from the orbit (2003)Multi-server retrial queue with negative customers and disasters (2007)A retrial system with two input streams and two orbit queues (2013)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)Product-form queueing networks with negative and positive customers (1991)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)A MAP/G/1 Queue with Negative Customers (2004)Bibliography on G-networks, negative customers and applications (2010)Applied Probability and Queues (1987)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Applied Probability and Queues (2003)A discrete-time Geo/G/1 retrial queue with starting failures and second optional service (2007)The BMAP/PH/N retrial queueing system operating in Markovian random environment (2009)G-networks by triggered customer movement (1993)A disaster queue with Markovian arrivals and impatient customers (2009)Perturbation Bounds forMt/Mt/NQueue with Catastrophes (2012)Fundamentals of Queueing Theory. (1977)Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services (2018)Facilitating Numerical Solutions of Inhomogeneous Continuous Time Markov Chains Using Ergodicity Bounds Obtained with Logarithmic Norm Method (2020)Mitigating long queues and waiting times with service resetting (2022)Theory, Volume 1, Queueing Systems (1975)Fundamentals of queueing theory (2nd ed.). (1985)An operational calculus for probability distributions via Laplace transforms (1996)Computing distributions and moments in polling models by numerical transform inversion (1996)Exponential Approximations for Tail Probabilities in Queues II: Sojourn Time and Workload (1996)A single-server queue with server vacations and a class of non-renewal arrival processes (1990)Marked point processes as limits of Markovian arrival streams (1993)Distributional Form of Little's Law for FIFO Queues with Multiple Markovian Arrival Streams and Its Application to Queues with Vacations (2001)Internet Traffic Modeling: Markovian Approach to Self-Similar Traffic and Prediction of Loss Probability for Finite Queues (2001)On the relationships among queue lengths at arrival, departure, and random epochs in the discrete-time queue with D-BMAP arrivals (2002)Matrix-Geometric Solutions to Stochastic Models (1984)Introduction to Stochastic Processes (2014)Retrial multi-server queuing system with PHF service time distribution as a model of a channel with unreliable transmission of information (2018)Analysis of a Batch Arrival, Batch Service Queuing-Inventory System with Processing of Inventory While on Vacation (2021)Self-Service System with Rating Dependent Arrivals (2022)Analysis of a multi-server retrial queue with search of customers from the orbit (2005)Markovian arrivals in stochastic modelling: a survey and some new results (2010)A queueing model with server breakdowns, repairs, vacations, and backup server (2019)
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References

  • 1991New results on the single server queue with a batch markovian arrival process1,085 cited
  • 1992Models Based on the Markovian Arrival Process126 cited

Cited by

  • 2017Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks62 cited
  • 1999A BMAP/SM/1 queueing system with Markovian arrival input of disasters58 cited
  • 1996Numerical Computation of the Moments of a Probability Distribution from its Transform57 cited
  • 2006A BMAP/G/1 Retrial Queue with a Server Subject to Breakdowns and Repairs55 cited
  • 2000A retrial BMAP/SM/1 system with linear repeated requests53 cited
  • 2001BMAP/SM/1 queue with Markovian input of disasters and non-instantaneous recovery49 cited
  • 2010Markovian bulk-arrival and bulk-service queues with state-dependent control36 cited
  • 1998On the relationship between queue lengths at a random instant and at a departure in the stationary queue with bmap arrivals36 cited
  • 2004Markovian bulk-arriving queues with state-dependent control at idle time29 cited
  • 2001The BMAP/SM/1 retrial queue with controllable operation modes29 cited
  • 1998Multi‐dimensional quasitoeplitz Markov chains29 cited
  • 2006Fundamental characteristics of queues with fluctuating load27 cited

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  • 2012ANALYTICALLY EXPLICIT RESULTS FOR THE GI/C-MSP/1/∞ QUEUEING SYSTEM USING ROOTS27 cited
  • 2002Output models of MAP/PH/1(/K) queues for an efficient network decomposition27 cited
  • 2013Applications in Queueing Theory26 cited
  • 2008The infinite-buffer single server queue with a variant of multiple vacation policy and batch Markovian arrival process25 cited