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Analysis of the loss probability of the map/g/1/k queue part i: asymptotic theory
15 references·8 citing·29 second hop
Analysis of the loss probability of the map/g/1/k queue part i: asymptotic theory (1994)Analysis of the loss probability of the m…Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times (1995)Exponential Approximations fo…The transient BMAP/G/l queue (1994)The transient BMAP/G/l queueAsymptotics for steady-state tail probabilities in structured markov queueing models (1994)Asymptotics for steady-state …Performance analysis of statistical multiplexing of VBR sources (1992)Performance analysis of stati…New results on the single server queue with a batch markovian arrival process (1991)New results on the single ser…Loss performance analysis of an ATM multiplexer loaded with high-speed on-off sources (1991)Loss performance analysis of …Approximation techniques for computing packet loss in finite-buffered voice multiplexers (1991)Approximation techniques for …A single-server queue with server vacations and a class of non-renewal arrival processes (1990)A single-server queue with se…The n/g/l finite capacity queue (1989)The n/g/l finite capacity que…A stable recursion for the steady state vector in markov chains of m/g/1 type (1988)A stable recursion for the st…A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)A Markov Modulated Characteri…Opsearch (1985)OpsearchThe N/G/1 queue and its detailed analysis (1980)The N/G/1 queue and its detai…A Class of Data Traffic Processes-Covariance Function Characterization and Related Queuing Results (1980)A Class of Data Traffic Proce…The Interrupted Poisson Process As An Overflow Process (1973)The Interrupted Poisson Proce…ERROR BOUNDS FOR LAST-COLUMN-BLOCK-AUGMENTED TRUNCATIONS OF BLOCK-STRUCTURED MARKOV CHAINS (2017)ERROR BOUNDS FOR LAST-COLUMN-…Asymptotic Behaviors of the Loss Probability for a Finite Buffer Queue with QBD Structure (2007)Asymptotic Behaviors of the L…Asymptotic Analysis of the GI/M/ 1 /n Loss System as n Increases to Infinity (2002)Asymptotic Analysis of the GI…A Single-Server Queueing System with Batch Markov Arrivals, Semi-Markov Service, and Finite Buffer: Its Characteristics (2002)A Single-Server Queueing Syst…Analysis of the MAP/G a ,b /1/N Queue (2001)Analysis of the MAP/G a ,b /1…Asymptotic Behavior of Loss Probability in GI/M/1/K Queue as K Tends to Infinity (2000)Asymptotic Behavior of Loss P…Calculating the loss probability in aBMAP/G/l/N+1 queue (1996)Calculating the loss probabil…A numerically efficient method for the MAP/D/1/K queue via rational approximations (1996)A numerically efficient metho…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)Loss probability calculations and asymptotic analysis for finite buffer multiplexers (2001)A simple algorithm for the rate matrices of level-dependent QBD processes (2010)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)Queueing systems with vacations ? A survey (1986)Marked point processes as limits of Markovian arrival streams (1993)Traffic modeling for telecommunications networks (1994)Introduction to the Theory of Queues (1963)Introduction to the Theory of Queues. (1963)Queuing Problems with Heterogeneous Arrivals and Service (1971)A fitting algorithm for Markov-modulated poisson processes having two arrival rates (1987)The analysis of a queue arising in overflow models (1989)Queueing Systems. Volume 1: Theory (1975)Poisson Arrivals See Time Averages (1982)Queueing Models for Computer Communications System Analysis (1977)Queueing Networks: A Survey of Their Random Processes (1985)The BMAP/G/1 queue: A tutorial (2005)The Batch Markovian Arrival Process: A Review and Future Work (2001)Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory (2006)Analysis of individual packet loss in a finite buffer queue with heterogeneous Markov modulated arrival processes: a study of traffic burstiness and priority packet discarding (1992)Fluid models for the analysis and design of statistical multiplexing with loss priorities on multiple classes of bursty traffic (1992)A novel approach to estimating the cell loss probability in an ATM multiplexer loaded with homogeneous on-off sources (1995)
this work references cited by second hop

References

  • 1986A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance1,247 cited
  • 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
  • 1980The N/G/1 queue and its detailed analysis286 cited
  • 1988A stable recursion for the steady state vector in markov chains of m/g/1 type285 cited
  • 1973The Interrupted Poisson Process As An Overflow Process252 cited
  • 1991Loss performance analysis of an ATM multiplexer loaded with high-speed on-off sources198 cited
  • 1980A Class of Data Traffic Processes-Covariance Function Characterization and Related Queuing Results157 cited
  • 1995Exponential Approximations for Tail Probabilities in Queues, I: Waiting Times145 cited
  • 1991Approximation techniques for computing packet loss in finite-buffered voice multiplexers135 cited
  • 1994Asymptotics for steady-state tail probabilities in structured markov queueing models116 cited
  • 1992Performance analysis of statistical multiplexing of VBR sources116 cited
  • 1989The n/g/l finite capacity queue105 cited
  • 1994The transient BMAP/G/l queue101 cited

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1985
Opsearch
88 cited

Cited by

  • 2001Analysis of the MAP/G a ,b /1/N Queue39 cited
  • 1996A numerically efficient method for the MAP/D/1/K queue via rational approximations33 cited
  • 2000Asymptotic Behavior of Loss Probability in GI/M/1/K Queue as K Tends to Infinity30 cited
  • 2017ERROR BOUNDS FOR LAST-COLUMN-BLOCK-AUGMENTED TRUNCATIONS OF BLOCK-STRUCTURED MARKOV CHAINS23 cited
  • 1996Calculating the loss probability in aBMAP/G/l/N+1 queue20 cited
  • 2007Asymptotic Behaviors of the Loss Probability for a Finite Buffer Queue with QBD Structure18 cited
  • 2002A Single-Server Queueing System with Batch Markov Arrivals, Semi-Markov Service, and Finite Buffer: Its Characteristics17 cited
  • 2002Asymptotic Analysis of the GI/M/ 1 /n Loss System as n Increases to Infinity17 cited