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Analysis of a continuous time SM[K]/PH[K]/1/FCFS queue: Age process, sojourn times, and queue lengths
16 references·3 citing·35 second hop
Analysis of a continuous time SM[K]/PH[K]/1/FCFS queue: Age process, sojourn times, and queue lengths (2012)Analysis of a continuous time SM[K]/PH[K]…Queue Length Distribution in a FIFO Single-Server Queue with Multiple Arrival Streams Having Different Service Time Distributions (2001)Queue Length Distribution in …Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Introduction to Matrix Analyt…Markov chains with marked transitions11This research was supported in part by Grant No. DMI-930628 from the National Science Foundation and the K.C. Wang Education Foundation. (1998)Markov chains with marked tra…Queues with marked customers (1996)Queues with marked customersThe 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…Marked point processes as limits of Markovian arrival streams (1993)Marked point processes as lim…Phase-Type Representations in Random Walk and Queueing Problems (1992)Phase-Type Representations in…Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Structured Stochastic Matrice…The semi-markovian queue: theory and applications (1990)The semi-markovian queue: the…A single-server queue with server vacations and a class of non-renewal arrival processes (1990)A single-server queue with se…Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue (1989)Markov processes whose steady…Generalizations of the Pollaczek-Khinchin integral equation in the theory of queues (1986)Generalizations of the Pollac…The Single Server Queue (1983)The Single Server QueueThe N/G/1 queue and its detailed analysis (1980)The N/G/1 queue and its detai…Queues with semi-Markovian arrivals (1967)Queues with semi-Markovian ar…The stability of a queue with non-independent inter-arrival and service times (1962)The stability of a queue with…Efficient analysis of the MMAP[K]/PH[K]/1 priority queue (2015)Efficient analysis of the MMA…Commuting Matrices in the Queue Length and Sojourn Time Analysis of MAP/MAP/1 Queues (2014)Commuting Matrices in the Que…Q-MAM: A Tool for Solving Infinite Queues using Matrix-Analytic Methods (2008)Q-MAM: A Tool for Solving Inf…Applied Probability and Queues (1987)New results on the single server queue with a batch markovian arrival process (1991)Applied Probability and Queues (2003)Markovian arrivals in stochastic modelling: a survey and some new results (2010)Multi-class Markovian arrival processes and their parameter fitting (2010)Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues and Other Stochastic Models. (1986)Structural results for the control of queueing systems using event-based dynamic programming (1998)The BMAP/G/1 queue: A tutorial (2005)Monotonicity in Markov Reward and Decision Chains: Theory and Applications (2006)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Queueing systems with vacations ? A survey (1986)Traffic modeling for telecommunications networks (1994)The Batch Markovian Arrival Process: A Review and Future Work (2001)Fundamentals of Queueing Theory. (1977)Matrix-geometric solutions in stochastic models (1985)A duality theorem for the matrix paradigms in queueing theory (1990)A Queue with Service Interruptions in an Alternating Random Environment (1990)Computational methods in risk theory: A matrix-algorithmic approach (1992)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)The theory of queues with a single server (1952)Queueing system MAP|PH|N|N+R with impatient heterogeneous customers as a model of call center (2012)Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks (2017)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Fundamentals of Matrix-Analytic Methods (2013)On Queues in Heavy Traffic (1962)On the stability of interacting queues in a multiple-access system (1988)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Risk theory in a Markovian environment (1989)The Markov-modulated Poisson process (MMPP) cookbook (1993)Manufacturing flow line systems: a review of models and analytical results (1992)The origin of bursts and heavy tails in human dynamics (2005)Modeling bursts and heavy tails in human dynamics (2006)
this work references cited by second hop

References

  • 1999Introduction to Matrix Analytic Methods in Stochastic Modeling1,988 cited
  • 1962The stability of a queue with non-independent inter-arrival and service times1,045 cited
  • 1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.996 cited
  • 1983The Single Server Queue844 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
  • 1993Marked point processes as limits of Markovian arrival streams234 cited
  • 1998Markov chains with marked transitions11This research was supported in part by Grant No. DMI-930628 from the National Science Foundation and the K.C. Wang Education Foundation.129 cited
  • 1996Queues with marked customers119 cited
  • 1989Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue108 cited
  • 1992Phase-Type Representations in Random Walk and Queueing Problems84 cited
  • 1994The workload in theMAP/G/1 queue with state-dependent services:its application to a queue with preemptive resume priority78 cited
  • 1967Queues with semi-Markovian arrivals68 cited
  • 1990The semi-markovian queue: theory and applications63 cited

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1986
Generalizations of the Pollaczek-Khinchin integral equation in the theory of queues
49 cited
  • 2001Queue Length Distribution in a FIFO Single-Server Queue with Multiple Arrival Streams Having Different Service Time Distributions43 cited
  • Cited by

    • 2014Commuting Matrices in the Queue Length and Sojourn Time Analysis of MAP/MAP/1 Queues17 cited
    • 2008Q-MAM: A Tool for Solving Infinite Queues using Matrix-Analytic Methods16 cited
    • 2015Efficient analysis of the MMAP[K]/PH[K]/1 priority queue13 cited