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Perturbation Theory for the Asymptotic Decay Rates in the Queues with Markovian Arrival Process and/or Markovian Service Process
7 references·5 citing·39 second hop
Perturbation Theory for the Asymptotic Decay Rates in the Queues with Markovian Arrival Process and/or Markovian Service Process (2000)Perturbation Theory for the Asymptotic De…Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)Exponential Approximations fo…On the asymptotic behaviour of the stationary distribution of markov chains of M/G/1-type (1994)On the asymptotic behaviour o…Asymptotics for steady-state tail probabilities in structured markov queueing models (1994)Asymptotics for steady-state …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…The caudal characteristic curve of queues (1986)The caudal characteristic cur…Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers (1981)Asymptotic behavior of the st…A simple analysis of the batch arrival queue with infinite-buffer and Markovian service process using roots method: $$ GI ^{[X]}/C$$ G I [ X ] / C - $$ MSP /1/\infty $$ M S P / 1 / ∞ (2015)A simple analysis of the batc…Analysis of B M A P/M S P/1 Queue (2014)Analysis of B M A P/M S P/1 Q…Stationary analysis of a discrete-time GI/D-MSP/1 queue with multiple vacations (2012)Stationary analysis of a disc…Analyzing the finite buffer batch arrival queue under Markovian service process: GI X /MSP/1/N (2007)Analyzing the finite buffer b…Perturbation Theory for the Asymptotic Decay Rates in the Queues with Markovian Arrival Process and/or Markovian Service Process – Correction (2001)Perturbation Theory for the A…A vacation queue with setup and close-down times and batch Markovian arrival processes (2003)Loss pattern of DBMAP/DMSP/1/K queue and its application in wireless local communications (2010)Mathematical Models of Multiserver Queuing System for Dynamic Performance Evaluation in Port (2012)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)A First Course in Bulk Queues (1983)A First Course in Bulk Queues. (1984)An algorithmic analysis of the BMAP/MSP/1 generalized processor-sharing queue (2016)Analytical and computational studies of the BMAP/G(a,Y)/1 queue (2020)Theory, Volume 1, Queueing Systems (1975)Applied Probability and Queues (1987)Asymptotics for M/G/1 low-priority waiting-time tail probabilities (1997)A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks (1998)Appendix: A primer on heavy-tailed distributions (1999)Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)Renewal processes of phase type (1978)Asymptotic exponentiality of the tail of the waiting-time distribution in a Ph/Ph/C queue (1981)On the performance of bursty and correlated sources subject to leaky bucket rate-based access control schemes (1991)On the theory of general on-off sources with applications in high-speed networks (2002)Light tail asymptotics in multidimensional reflecting processes for queueing networks (2011)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)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Loss probability in a finite discrete-time queue in terms of the steady state distribution of an infinite queue (1999)Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type (2005)Tail asymptotics of the queue size distribution in the M/M/m retrial queue (2012)Some Inequalities for the Queue GI/G/1 (1962)The Interrupted Poisson Process As An Overflow Process (1973)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue (1989)Modeling and analysis of communication systems based on computational methods for Markov chains (1990)Sampling at subexponential times, with queueing applications (1999)Analysis of a versatile batch-service queueing model with correlation in the arrival process (2013)Open problems in queueing theory inspired by datacenter computing (2021)
this work references cited by second hop

References

  • 1991New results on the single server queue with a batch markovian arrival process1,085 cited
  • 1990A single-server queue with server vacations and a class of non-renewal arrival processes535 cited
  • 1995Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times145 cited
  • 1994Asymptotics for steady-state tail probabilities in structured markov queueing models116 cited
  • 1986The caudal characteristic curve of queues81 cited
  • 1981Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers78 cited
  • 1994On the asymptotic behaviour of the stationary distribution of markov chains of M/G/1-type55 cited

Cited by

  • 2015A simple analysis of the batch arrival queue with infinite-buffer and Markovian service process using roots method: $$ GI ^{[X]}/C$$ G I [ X ] / C - $$ MSP /1/\infty $$ M S P / 1 / ∞21 cited
  • 2014Analysis of B M A P/M S P/1 Queue20 cited
  • 2007Analyzing the finite buffer batch arrival queue under Markovian service process: GI X /MSP/1/N19 cited
  • 2012Stationary analysis of a discrete-time GI/D-MSP/1 queue with multiple vacations17 cited
  • 2001Perturbation Theory for the Asymptotic Decay Rates in the Queues with Markovian Arrival Process and/or Markovian Service Process – Correction15 cited

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