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Lattice paths combinatorics applied to transient queue length distribution of C2/M/1 queues and busy period analysis of bulk queues C2b/M/1
12 references·3 citing·36 second hop
Lattice paths combinatorics applied to transient queue length distribution of C2/M/1 queues and busy period analysis of bulk queues C2b/M/1 (2002)Lattice paths combinatorics applied to tr…The transient BMAP/G/l queue (1994)The transient BMAP/G/l queueLattice path approach to transient solution of M/M/1 with (0,k) control policy (1993)Lattice path approach to tran…Combinatorial approach to Markovian queueing models (1993)Combinatorial approach to Mar…Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Structured Stochastic Matrice…On Discrete Time Markovian N-policy Queues involving Batches (1991)On Discrete Time Markovian N-…Calculating equilibrium probabilities for λ(n)/C k /1/N queues (1980)Calculating equilibrium proba…General Stochastic Processes in the Theory of Queues. (1964)General Stochastic Processes …General Stochastic Processes in the Theory of Queues (1964)General Stochastic Processes …Introduction to the Theory of Queues. (1963)Introduction to the Theory of…Introduction to the Theory of Queues (1963)Introduction to the Theory of…Elements of Queueing Theory: With Applications. (1963)Elements of Queueing Theory: …Elements of Queueing Theory with Applications (1962)Elements of Queueing Theory w…Lattice path approach for busy period density of M/G/1 queues using C3 Coxian distribution (2006)Lattice path approach for bus…Lattice path approach to transient analysis of M/G/1/N non-Markovian queues using Cox distributions (2002)Lattice path approach to tran…Distribution of number served during a busy period of GI/M/1/N queues-lattice path approach (2002)Distribution of number served…Queueing Systems with a Removable Service Station (1963)Optimal Operating Policies for M / G /1 Queuing Systems (1968)Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations (1985)The transient solution of M/M/1 queues under (M,N)-policy. A combinatorial approach (1993)Transient analysis of queues with heterogeneous arrivals (1994)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)New results on the single server queue with a batch markovian arrival process (1991)Computing distributions and moments in polling models by numerical transform inversion (1996)Some properties of the rate perators in level dependent uasi-birth-and-death processes with countable number of phases (1996)Markovian arrivals in stochastic modelling: a survey and some new results (2010)Introduction to Stochastic Processes (2014)The single server queue in discrete time‐numerical analysis II (1973)A First Course in Bulk Queues (1983)The combinatorics of birth-death processes and applications to queues (1997)A discrete-time single-server queue with a modifiedN-policy (2007)Lattice path counting and the theory of queues (2010)Extensions of infinitesimal perturbation analysis (1988)The M/M/1 queue with a production-inventory system and lost sales (2014)Optimal Price and Delay Differentiation in Large-Scale Queueing Systems (2017)Manufacturing flow line systems: a review of models and analytical results (1992)Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines (1996)Matrix-geometric solution for semi-open queuing network model of autonomous vehicle storage and retrieval system (2013)Fluctuation theory in continuous time (1975)Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)Optimal service-rate selection in an $M| G |\hat 1$Queue (1973)Calculating time-dependent performance measures for the M/M/1 queue (1989)On a single server queue with negative arrivals and request repeated (1999)A General Class of Bulk Queues with Poisson Input (1967)Stochastic Processes for Insurance & Finance (1999)Stochastic Processes for Insurance and Finance (1999)Risk theory in a Markovian environment (1989)A single-server queue with server vacations and a class of non-renewal arrival processes (1990)The Markov-modulated Poisson process (MMPP) cookbook (1993)A delay dependent queue discipline (1964)On a Basic Class of Multi-Item Inventory Problems (1964)Optimal control of batch service queues (1973)
this work references cited by second hop

References

  • 1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.996 cited
  • 1963Introduction to the Theory of Queues.961 cited
  • 1963Introduction to the Theory of Queues480 cited
  • 1963Elements of Queueing Theory: With Applications.223 cited
  • 1980Calculating equilibrium probabilities for λ(n)/C k /1/N queues111 cited
  • 1964General Stochastic Processes in the Theory of Queues101 cited
  • 1994The transient BMAP/G/l queue101 cited
  • 1962Elements of Queueing Theory with Applications68 cited
  • 1991On Discrete Time Markovian N-policy Queues involving Batches27 cited
  • 1993Lattice path approach to transient solution of M/M/1 with (0,k) control policy19 cited
  • 1964General Stochastic Processes in the Theory of Queues.19 cited
  • 1993Combinatorial approach to Markovian queueing models17 cited

Cited by

  • 2002Distribution of number served during a busy period of GI/M/1/N queues-lattice path approach11 cited
  • 2006Lattice path approach for busy period density of M/G/1 queues using C3 Coxian distribution10 cited
  • 2002Lattice path approach to transient analysis of M/G/1/N non-Markovian queues using Cox distributions

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9 cited