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Tail probabilities of low-priority waiting times and queue lengths in MAP/GI/1 queues
16 references·1 citing·37 second hop
Tail probabilities of low-priority waiting times and queue lengths in MAP/GI/1 queues (2000)Tail probabilities of low-priority waitin…The BMAP/G/1 queue: A tutorial (2005)The BMAP/G/1 queue: A tutorialElements of Queueing Theory (2003)Elements of Queueing TheoryEffective bandwidths of departure processes from queues with time varying capacities (2002)Effective bandwidths of depar…Asymptotics for M/G/1 low-priority waiting-time tail probabilities (1997)Asymptotics for M/G/1 low-pri…Buffer overflow asymptotics for a buffer handling many traffic sources (1996)Buffer overflow asymptotics f…Sample path large deviations and intree networks (1995)Sample path large deviations …Large deviations, the shape of the loss curve, and economies of scale in large multiplexers (1995)Large deviations, the shape o…The workload in theMAP/G/1 queue with state-dependent services:its application to a queue with preemptive resume priority (1994)The workload in theMAP/G/1 qu…Asymptotics for steady-state tail probabilities in structured markov queueing models (1994)Asymptotics for steady-state …Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Tail probabilities with stati…A Storage Model with a Two-State Random Environment (1992)A Storage Model with a Two-St…New results on the single server queue with a batch markovian arrival process (1991)New results on the single ser…A single-server queue with server vacations and a class of non-renewal arrival processes (1990)A single-server queue with se…Stochastic Modeling and the Theory of Queues (1989)Stochastic Modeling and the T…Queueing theory (1981)Queueing theoryThe N/G/1 queue and its detailed analysis (1980)The N/G/1 queue and its detai…Efficient analysis of the MMAP[K]/PH[K]/1 priority queue (2015)Efficient analysis of the MMA…A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)An EM Algorithm for Batch Markovian Arrival Processes and its Comparison to a Simpler Estimation Procedure (2002)Markovian arrivals in stochastic modelling: a survey and some new results (2010)The Queueing Network Analyzer (1983)The Markov-modulated Poisson process (MMPP) cookbook (1993)Modeling IP traffic using the batch Markovian arrival process (2003)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Effective bandwidths at multi-class queues (1991)Cell loss asymptotics for buffers fed with a large number of independent stationary sources (1999)Sample path large deviations for queues with many inputs (2001)Cell loss asymptotics in buffers fed with a large number of independent stationary sources (2002)Queueing systems with vacations ? A survey (1986)Marked point processes as limits of Markovian arrival streams (1993)Traffic modeling for telecommunications networks (1994)The Batch Markovian Arrival Process: A Review and Future Work (2001)Matrix-Geometric Solutions to Stochastic Models (1984)Applied Probability and Queues (1987)Exponential bounds for queues with Markovian arrivals (1994)Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)Introduction to the Theory of Queues (1963)Introduction to the Theory of Queues. (1963)A stable recursion for the steady state vector in markov chains of m/g/1 type (1988)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks (1998)Loss probability calculations and asymptotic analysis for finite buffer multiplexers (2001)A Stackelberg Network Game with a Large Number of Followers (2002)The stability of a queue with non-independent inter-arrival and service times (1962)Comparison Methods for Queues and Other Stochastic Models (1984)Asymptotic buffer overflow probabilities in multiclass multiplexers: an optimal control approach (1998)Large deviations analysis of the generalized processor sharing policy (1999)A large deviation principle with queueing applications (2002)INFORMATION COSTS, PRICING, AND RESOURCE UNEMPLOYMENT (1969)Martingale Methods in Financial Modelling (1997)Simulation modeling for analysis (2010)Feature Article: Optimization for simulation: Theory vs. Practice (2002)Statistical Analysis of a Telephone Call Center (2005)
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References

  • 1989Stochastic Modeling and the Theory of Queues1,605 cited
  • 1991New results on the single server queue with a batch markovian arrival process1,085 cited
  • 2003Elements of Queueing Theory596 cited
  • 1990A single-server queue with server vacations and a class of non-renewal arrival processes535 cited
  • 1980The N/G/1 queue and its detailed analysis286 cited
  • 1995Large deviations, the shape of the loss curve, and economies of scale in large multiplexers244 cited
  • 2005The BMAP/G/1 queue: A tutorial199 cited
  • 1996Buffer overflow asymptotics for a buffer handling many traffic sources198 cited
  • 2002Effective bandwidths of departure processes from queues with time varying capacities151 cited
  • 1993Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues150 cited
  • 1997Asymptotics for M/G/1 low-priority waiting-time tail probabilities145 cited
  • 1994Asymptotics for steady-state tail probabilities in structured markov queueing models116 cited
  • 1981Queueing theory113 cited
  • 1992A Storage Model with a Two-State Random Environment88 cited
  • 1995Sample path large deviations and intree networks82 cited

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  • 1994The workload in theMAP/G/1 queue with state-dependent services:its application to a queue with preemptive resume priority78 cited
  • Cited by

    • 2015Efficient analysis of the MMAP[K]/PH[K]/1 priority queue13 cited