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Point processes with finite-dimensional conditional probabilities
12 references·6 citing·35 second hop
Point processes with finite-dimensional conditional probabilities (1999)Point processes with finite-dimensional c…Matrix-Analytic Methods in Stochastic Models (2014)Matrix-Analytic Methods in St…Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences (2010)Elements of Queueing Theory: …Applied Probability and Queues (2003)Applied Probability and QueuesMarked point processes as limits of Markovian arrival streams (1993)Marked point processes as lim…The first two moment matrices of the counts for the markovian arrival process (1992)The first two moment matrices…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…Applied Probability and Queues (1987)Applied Probability and QueuesQueues and Point Processes. (1985)Queues and Point Processes.Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-Geometric Solutions to…The Single Server Queue (1983)The Single Server QueueOn the distribution of queueing times (1953)On the distribution of queuei…On minimal representations of Rational Arrival Processes (2011)On minimal representations of…Quasi-Birth-and-Death Processes with Rational Arrival Process Components (2010)Quasi-Birth-and-Death Process…Q-MAM: A Tool for Solving Infinite Queues using Matrix-Analytic Methods (2008)Q-MAM: A Tool for Solving Inf…Characterization of Matrix-Exponential Distributions (2008)Characterization of Matrix-Ex…Moment characterization of matrix exponential and Markovian arrival processes (2007)Moment characterization of ma…Higher Order Moments and Conditional Asymptotics of the Batch Markovian Arrival Process (2007)Higher Order Moments and Cond…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)Some Problems in the Theory of Queues (1951)The Life and Works of A. K. Erlang. (1951)The theory of queues with a single server (1952)Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)Asymptotic results for multiplexing subexponential on-off processes (1999)The supremum of a negative drift random walk with dependent heavy-tailed steps (2000)Analysis, Design, and Control of Queueing Systems (2002)Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Inventory Control in a Fluctuating Demand Environment (1993)To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems (2003)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)OR FORUM—Little's Law as Viewed on Its 50th Anniversary (2011)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)Manufacturing flow line systems: a review of models and analytical results (1992)The origin of bursts and heavy tails in human dynamics (2005)Modeling bursts and heavy tails in human dynamics (2006)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)
this work references cited by second hop

References

  • 1987Applied Probability and Queues2,704 cited
  • 1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
  • 2003Applied Probability and Queues1,453 cited
  • 1991New results on the single server queue with a batch markovian arrival process1,085 cited
  • 1983The Single Server Queue844 cited
  • 2010Elements of Queueing Theory: Palm Martingale Calculus and Stochastic Recurrences354 cited
  • 1985Queues and Point Processes.342 cited
  • 1993Marked point processes as limits of Markovian arrival streams234 cited
  • 1953On the distribution of queueing times195 cited
  • 2014Matrix-Analytic Methods in Stochastic Models134 cited
  • 1992Models Based on the Markovian Arrival Process126 cited
  • 1992The first two moment matrices of the counts for the markovian arrival process67 cited

Cited by

  • 2008Characterization of Matrix-Exponential Distributions68 cited
  • 2010Quasi-Birth-and-Death Processes with Rational Arrival Process Components43 cited
  • 2011On minimal representations of Rational Arrival Processes33 cited
  • 2007Moment characterization of matrix exponential and Markovian arrival processes

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33 cited
  • 2007Higher Order Moments and Conditional Asymptotics of the Batch Markovian Arrival Process17 cited
  • 2008Q-MAM: A Tool for Solving Infinite Queues using Matrix-Analytic Methods16 cited