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On steady-state queue size distributions of the discrete-time GI / G /1 queue
16 references·0 citing·38 second hop
On steady-state queue size distributions of the discrete-time GI / G /1 queue (1996)On steady-state queue size distributions …Solutions of the basic matrix equation for M/G/l AND G/M/1 type markov chains (1994)Solutions of the basic matrix…Evaluating the Overflow Probability Using the Infinite Queue (1993)Evaluating the Overflow Proba…Discrete-Time Models for Communication Systems Including ATM (1993)Discrete-Time Models for Comm…Alternative Numerical Solutions of Stationary Queueing-Time Distributions in Discrete-Time Queues: GI/G/ 1 (1993)Alternative Numerical Solutio…Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Structured Stochastic Matrice…On the Geo/D/1 and Geo/D/1/n queues (1990)On the Geo/D/1 and Geo/D/1/n …Numerical Solutions of the Waiting Time Distribution and Idle Time Distribution of the Arithmetic GI/G/1 Queue (1989)Numerical Solutions of the Wa…Matrix geometric solutions in stochastic models (1987)Matrix geometric solutions in…Modeling and Analysis of Computer Communications Networks (1984)Modeling and Analysis of Comp…A First Course in Bulk Queues (1983)A First Course in Bulk QueuesThe probabilistic significance of the rate matrix in matrix-geometric invariant vectors (1980)The probabilistic significanc…Computing the Waiting Time Distribution for the G/G/1 Queue by Signal Processing Methods (1980)Computing the Waiting Time Di…Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)Markov chains with applicatio…Fundamentals of Queueing Theory. (1975)Fundamentals of Queueing Theo…An Elementary Solution of the Queuing System G/G/1 (1975)An Elementary Solution of the…The single server queue in discrete time‐numerical analysis I (1973)The single server queue in di…Applied Probability and Queues (1987)Light traffic heuristic for anM/G/1 queue with limited inventory (1992)A compensation approach for two-dimensional Markov processes (1993)On Pooling in Queueing Networks (1998)Applied Probability and Queues (2003)- Theory and applications (2013)Introduction to Queueing Theory (1973)Fundamentals of Queueing Theory. (1977)Analytic derivation of tail probabilities for queue lengths and waiting times in ATM multiserver queues (1994)Analytical solution of finite capacity M/D/1 queues (2000)A Discrete-Time Model for Common Lifetime Inventory Systems (2005)Matrix-Geometric Solutions to Stochastic Models (1984)Non-Skip-Free M/G/ 1 and G/M/ 1 Type Markov Chains (1997)Matrix-geometric invariant measures for G/M/l type Markov chains (1998)Finite and infinite QBD chains: a simple and unifying algorithmic approach (2002)The theory of queues with a single server (1952)On the approximations to the single server queue (1980)Matrix Analytic Methods (2000)Discrete time queues and matrix-analytic methods (2002)The waiting time analysis of a discrete-time queue with arrivals as a discrete autoregressive process of order 1 (2002)QUEUEING NETWORKS- CUSTOMERS, SIGNALS, AND PRODUCT FORM SOLUTIONS (1999)Mathematical methods to study the polling systems (2006)Queues with interruptions: a survey (2012)Queueing behavior of statistical multiplexers with correlated inputs (1988)Performance of discrete-time queueing systems (1993)Analysis and Application of Polling Models (2000)Performance analysis of parallel processing systems (1988)A survey on retrial queues (1989)Batch arrival queue with N-policy and single vacation (1995)Computation of Steady-State Probabilities for M/M/1 Priority Queues (1981)Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue (1989)Standard and retrial queueing systems: a comparative analysis (2002)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)Open and Closed Models for Networks of Queues (1984)Queueing Networks: A Survey of Their Random Processes (1985)Optimal scheduling policies for a class of queues with customer deadlines to the beginning of service (1988)
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References

  • 1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.996 cited
  • 1993Discrete-Time Models for Communication Systems Including ATM602 cited
  • 1983A First Course in Bulk Queues529 cited
  • 1975Fundamentals of Queueing Theory.291 cited
  • 1984Modeling and Analysis of Computer Communications Networks248 cited
  • 1987Matrix geometric solutions in stochastic models155 cited
  • 1978Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector154 cited
  • 1990On the Geo/D/1 and Geo/D/1/n queues85 cited
  • 1989Numerical Solutions of the Waiting Time Distribution and Idle Time Distribution of the Arithmetic GI/G/1 Queue84 cited
  • 1994Solutions of the basic matrix equation for M/G/l AND G/M/1 type markov chains65 cited
  • 1980Computing the Waiting Time Distribution for the G/G/1 Queue by Signal Processing Methods58 cited
  • 1975An Elementary Solution of the Queuing System G/G/143 cited
  • 1980The probabilistic significance of the rate matrix in matrix-geometric invariant vectors40 cited
  • 1973The single server queue in discrete time‐numerical analysis I32 cited
  • 1993Evaluating the Overflow Probability Using the Infinite Queue

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24 cited
  • 1993Alternative Numerical Solutions of Stationary Queueing-Time Distributions in Discrete-Time Queues: GI/G/ 121 cited
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