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The Nonpreemptive Priority MAP/G/1 Queue
16 references·8 citing·27 second hop
The Nonpreemptive Priority MAP/G/1 Queue (1999)The Nonpreemptive Priority MAP/G/1 QueueThe BMAP/G/1 queue: A tutorial (2005)The BMAP/G/1 queue: A tutorialQueues with marked customers (1996)Queues with marked customersQueueing analysis: A foundation of performance evaluation (1995)Queueing analysis: A foundati…An analysis of a discrete-time queue for broadband ISDN with priorities among traffic classes (1994)An analysis of a discrete-tim…Queueing analysis: A foundation of performance evaluation, volume 1: Vacation and priority systems, Part 1 (1993)Queueing analysis: A foundati…Marked point processes as limits of Markovian arrival streams (1993)Marked point processes as lim…An introduction to queueing theory (1993)An introduction to queueing t…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…Opsearch (1985)OpsearchIntroduction to Queueing Theory. (1982)Introduction to Queueing Theo…The N/G/1 queue and its detailed analysis (1980)The N/G/1 queue and its detai…A Waiting Line with Interrupted Service, Including Priorities (1962)A Waiting Line with Interrupt…Priority Queues (1960)Priority QueuesOn multiple priority multi-server queues with impatience (2013)On multiple priority multi-se…Applications in Queueing Theory (2013)Applications in Queueing Theo…The MAP/(PH/PH)/1 queue with self-generation of priorities and non-preemptive service (2008)The MAP/(PH/PH)/1 queue with …MAP/(PH/PH)/c Queue with Self-Generation of Priorities and Non-Preemptive Service (2008)MAP/(PH/PH)/c Queue with Self…Single-Server Queues with Markov-Modulated Arrivals and Service Speed (2005)Single-Server Queues with Mar…Discrete‐time analysis of MAP/PH/1 multiclass general preemptive priority queue (2003)Discrete‐time analysis of MAP…Optimal Policies for Multi-server Non-preemptive Priority Queues (2002)Optimal Policies for Multi-se…Distributional Form of Little's Law for FIFO Queues with Multiple Markovian Arrival Streams and Its Application to Queues with Vacations (2001)Distributional Form of Little…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)Queueing systems with vacations ? A survey (1986)Traffic modeling for telecommunications networks (1994)Introduction to the Theory of Queues (1963)Introduction to the Theory of Queues. (1963)Fundamentals of Queueing Theory. (1977)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)A Proof for the Queuing Formula: L = λ W (1961)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Point Processes and Queues (1981)Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations (1985)Some Queuing Problems with the Service Station Subject to Breakdown (1963)A Many-Server Queue with Service Interruptions (1968)Queuing Problems with Heterogeneous Arrivals and Service (1971)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)Dimensioning Large Call Centers (2004)Optimizing Call Center Staffing Using Simulation and Analytic Center Cutting-Plane Methods (2007)Are Call Center and Hospital Arrivals Well Modeled by Nonhomogeneous Poisson Processes? (2014)Risk theory in a Markovian environment (1989)Analysis of a GI/M/1 queue with multiple working vacations (2004)
this work references cited by second hop

References

  • 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
  • 1993An introduction to queueing theory906 cited
  • 1995Queueing analysis: A foundation of performance evaluation747 cited
  • 1990A single-server queue with server vacations and a class of non-renewal arrival processes535 cited
  • 1962A Waiting Line with Interrupted Service, Including Priorities445 cited
  • 1982Introduction to Queueing Theory.359 cited
  • 1993Queueing analysis: A foundation of performance evaluation, volume 1: Vacation and priority systems, Part 1353 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
  • 1993Marked point processes as limits of Markovian arrival streams234 cited
  • 2005The BMAP/G/1 queue: A tutorial199 cited
  • 1996Queues with marked customers119 cited
  • 1960Priority Queues89 cited
  • 1985Opsearch88 cited
  • 1994An analysis of a discrete-time queue for broadband ISDN with priorities among traffic classes

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85 cited

Cited by

  • 2008The MAP/(PH/PH)/1 queue with self-generation of priorities and non-preemptive service30 cited
  • 2003Discrete‐time analysis of MAP/PH/1 multiclass general preemptive priority queue28 cited
  • 2005Single-Server Queues with Markov-Modulated Arrivals and Service Speed26 cited
  • 2013On multiple priority multi-server queues with impatience26 cited
  • 2013Applications in Queueing Theory26 cited
  • 2001Distributional Form of Little's Law for FIFO Queues with Multiple Markovian Arrival Streams and Its Application to Queues with Vacations25 cited
  • 2008MAP/(PH/PH)/c Queue with Self-Generation of Priorities and Non-Preemptive Service23 cited
  • 2002Optimal Policies for Multi-server Non-preemptive Priority Queues23 cited