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The infinite-buffer single server queue with a variant of multiple vacation policy and batch Markovian arrival process
16 references·3 citing·27 second hop
The infinite-buffer single server queue with a variant of multiple vacation policy and batch Markovian arrival process (2008)The infinite-buffer single server queue w…Vacation Queueing Models Theory and Applications (2006)Vacation Queueing Models Theo…Operating characteristic analysis on the M[x]/G/1 system with a variant vacation policy and balking (2006)Operating characteristic anal…The BMAP/G/1 queue: A tutorial (2005)The BMAP/G/1 queue: A tutorialQueueing Theory (2003)Queueing TheoryA vacation queue with setup and close-down times and batch Markovian arrival processes (2003)A vacation queue with setup a…A UNIFIED QUEUE LENGTH FORMULA FOR BMAP/G/1 QUEUE WITH GENERALIZED VACATIONS (2002)A UNIFIED QUEUE LENGTH FORMUL…Discrete Time Geo/G/1 Queue with Multiple Adaptive Vacations (2001)Discrete Time Geo/G/1 Queue w…Departure Processes of BMAP/G/1 Queues (2001)Departure Processes of BMAP/G…Queueing analysis: A foundation of performance evaluation (1995)Queueing analysis: A foundati…Some steady-state distributions for theMAP /SM /1 queue (1994)Some steady-state distributio…Queueing analysis: A foundation of performance evaluation, volume 1: Vacation and priority systems, Part 1 (1993)Queueing analysis: A foundati…Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Structured Stochastic Matrice…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…A stable recursion for the steady state vector in markov chains of m/g/1 type (1988)A stable recursion for the st…Queueing systems with vacations ? A survey (1986)Queueing systems with vacatio…Single server queues with a batch Markovian arrival process and bulk renewal or non-renewal service (2015)Single server queues with a b…Analysis of a finite buffer variable batch service queue with batch Markovian arrival process and server’s vacation (2015)Analysis of a finite buffer v…Steady state analysis of the GI/M/1/N queue with a variant of multiple working vacations (2011)Steady state analysis of the …A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)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)Poisson Arrivals See Time Averages (1982)A survey on retrial queues (1987)A survey on retrial queues (1989)The N/G/1 queue and its detailed analysis (1980)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)Fundamentals of Queueing Theory. (1977)An introduction to queueing theory (1993)M/G/1 queue with multiple working vacations (2005)Optimal design and control of queues (2005)Equilibrium customer strategies in a single server Markovian queue with setup times (2007)Marked point processes as limits of Markovian arrival streams (1993)Traffic modeling for telecommunications networks (1994)Risk theory in a Markovian environment (1989)Analysis of a GI/M/1 queue with multiple working vacations (2004)The price of anarchy is independent of the network topology (2002)Exact Results for the Barabási Model of Human Dynamics (2005)Analysis and Comparison of Queues with Different Levels of Delay Information (2007)Strategic Behavior and Social Optimization in Markovian Vacation Queues (2011)Fundamentals of Matrix-Analytic Methods (2013)
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References

  • 1986Queueing systems with vacations ? A survey1,183 cited
  • 1991New results on the single server queue with a batch markovian arrival process1,085 cited
  • 1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.996 cited
  • 1995Queueing analysis: A foundation of performance evaluation747 cited
  • 2006Vacation Queueing Models Theory and Applications668 cited
  • 1990A single-server queue with server vacations and a class of non-renewal arrival processes535 cited
  • 2003Queueing Theory434 cited
  • 1993Queueing analysis: A foundation of performance evaluation, volume 1: Vacation and priority systems, Part 1353 cited
  • 1988A stable recursion for the steady state vector in markov chains of m/g/1 type285 cited
  • 2005The BMAP/G/1 queue: A tutorial199 cited
  • 1994Some steady-state distributions for theMAP /SM /1 queue92 cited
  • 2001Discrete Time Geo/G/1 Queue with Multiple Adaptive Vacations91 cited
  • 2003A vacation queue with setup and close-down times and batch Markovian arrival processes64 cited
  • 2006Operating characteristic analysis on the M[x]/G/1 system with a variant vacation policy and balking63 cited
  • 2001Departure Processes of BMAP/G/1 Queues

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47 cited
  • 2002A UNIFIED QUEUE LENGTH FORMULA FOR BMAP/G/1 QUEUE WITH GENERALIZED VACATIONS40 cited
  • Cited by

    • 2011Steady state analysis of the GI/M/1/N queue with a variant of multiple working vacations20 cited
    • 2015Single server queues with a batch Markovian arrival process and bulk renewal or non-renewal service19 cited
    • 2015Analysis of a finite buffer variable batch service queue with batch Markovian arrival process and server’s vacation17 cited