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Matrix Product-Form Solution for an LCFS-PR Single-Server Queue with Multiple Arrival Streams Governed by a Markov Chain
11 references·0 citing·38 second hop
Matrix Product-Form Solution for an LCFS-PR Single-Server Queue with Multiple Arrival Streams Governed by a Markov Chain (2002)Matrix Product-Form Solution for an LCFS-…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 $$MMAP\left[ K \right]/PH\left[ K \right]/1$$ queues with a last-come-first-served preemptive service discipline (1998)The $$MMAP\left[ K \right]/PH…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 customersA generalization of the matrix M/G/l paradigm for Markov chains with a tree structure (1995)A generalization of the matri…The 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…Matrix product-form solutions for Markov chains with a tree structure (1994)Matrix product-form solutions…Ladder heights and the Markov-modulated M/G/1 queue (1991)Ladder heights and the Markov…A single-server queue with server vacations and a class of non-renewal arrival processes (1990)A single-server queue with se…The Relation between Customer and Time Averages in Queues (1980)The Relation between Customer…The stability of a queue with non-independent inter-arrival and service times (1962)The stability of a queue with…New results on the single server queue with a batch markovian arrival process (1991)A logarithmic reduction algorithm for quasi-birth-death processes (1993)Queueing analysis: A foundation of performance evaluation (1995)The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue (2001)The delay distribution of a type k customer in a first-come-first-served MMAP[K]/PH[K]/1 queue (2002)Applications in Queueing Theory (2013)Applied Probability and Queues (1987)Queue Length Distribution in a FIFO Single-Server Queue with Multiple Arrival Streams Having Different Service Time Distributions (2001)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)A Proof for the Queuing Formula: L = λ W (1961)Fundamentals of Queueing Theory. (1977)The asymptotic behavior o queues with time-varying arrival rates (1984)Rate conservation laws: A survey (1994)Little's Law as Viewed on its 50th Anniversary. (2011)Introduction to Stochastic Processes (2014)Matrix-Geometric Solutions to Stochastic Models (1984)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Discrete-time queues with generally distributed service times and renewal-type server interruptions (2003)The N/G/1 queue and its detailed analysis (1980)The quasi-birth-death type markov chain with a tree structure (1999)STABILITY AND PERFORMANCE OF STACK ALGORITHMS FOR RANDOM ACCESS COMMUNICATION MODELED AS A TREE STRUCTURED QBD MARKOV CHAIN (2001)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)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)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)Poisson Arrivals See Time Averages (1982)Computational methods in risk theory: A matrix-algorithmic approach (1992)On cycle maxima, first passage problems and extreme value theory for queues (1992)Large claims approximations for risk processes in a Markovian environment (1994)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)
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References

  • 1962The stability of a queue with non-independent inter-arrival and service times1,045 cited
  • 1990A single-server queue with server vacations and a class of non-renewal arrival processes535 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
  • 1980The Relation between Customer and Time Averages in Queues87 cited
  • 1994The workload in theMAP/G/1 queue with state-dependent services:its application to a queue with preemptive resume priority78 cited
  • 1994Matrix product-form solutions for Markov chains with a tree structure60 cited
  • 1995A generalization of the matrix M/G/l paradigm for Markov chains with a tree structure55 cited
  • 1991Ladder heights and the Markov-modulated M/G/1 queue52 cited
  • 1998The $$MMAP\left[ K \right]/PH\left[ K \right]/1$$ queues with a last-come-first-served preemptive service discipline38 cited
  • 2001Distributional Form of Little's Law for FIFO Queues with Multiple Markovian Arrival Streams and Its Application to Queues with Vacations25 cited

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