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Delay Distribution of (Im)Patient Customers in a Discrete Time D-MAP/PH/1 Queue with Age-Dependent Service Times
9 references·1 citing·32 second hop
Delay Distribution of (Im)Patient Customers in a Discrete Time D-MAP/PH/1 Queue with Age-Dependent Service Times (2003)Delay Distribution of (Im)Patient Custome…The delay distribution of a type k customer in a first-come-first-served MMAP[K]/PH[K]/1 queue (2002)The delay distribution of a t…Efficient solution of multiple server queues with application to the modeling of ATM concentrators (2002)Efficient solution of multipl…A NEW ALGORITHM FOR COMPUTING THE RATE MATRIX OF GI/M/1 TYPE MARKOV CHAINS (2002)A NEW ALGORITHM FOR COMPUTING…The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue (2001)The Versatility of MMAP[K] an…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…Performance analysis of a telephone system with both patient and impatient customers (1995)Performance analysis of a tel…Statistical multiplexing of VBR sources: A matrix-analytic approach (1992)Statistical multiplexing of V…A single-server queue with server vacations and a class of non-renewal arrival processes (1990)A single-server queue with se…Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)Markov chains with applicatio…Mathematical Analysis of Queue with Phase Service: An Overview (2014)Mathematical Analysis of Queu…Applied Probability and Queues (1987)New results on the single server queue with a batch markovian arrival process (1991)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)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Discrete-time multiserver queues with geometric service times (2003)A multi-station unreliable machine model with working vacation policy and customers’ impatience (2022)Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations (1985)Queueing systems with vacations ? A survey (1986)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (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)Performance analysis of statistical multiplexing of VBR sources (1992)Theory, Volume 1, Queueing Systems (1975)Poisson Arrivals See Time Averages (1982)BMAP/G/1 queue with correlated arrivals of customers and disasters (2003)Priority queue with customer upgrades (2012)Applications in Queueing Theory (2013)The Waiting Time Distribution of a TypekCustomer in a Discrete-Time MMAP[K]/PH[K]/c (c = 1, 2) Queue Using QBDs (2004)Age Process, Workload Process, Sojourn Times, and Waiting Times in a Discrete Time SM[K]/PH[K]/1/FCFS Queue (2005)Analysis of a continuous time SM[K]/PH[K]/1/FCFS queue: Age process, sojourn times, and queue lengths (2012)Stochastic block–monotonicity in the approximation of the stationary distribution of infinite markov chains (2000)The Impact of Self-Generation of Priorities on Multi-Server Queues with Finite Capacity (2005)Matrix Analytic Methods: A Tutorial Overview with Some Extensions and New Results (2014)Stationary analysis of a discrete-time GI/D-MSP/1 queue with multiple vacations (2012)Computation of Steady-State Probabilities for M/M/1 Priority Queues (1981)Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue (1989)Standard and retrial queueing systems: a comparative analysis (2002)
this work references cited by second hop

References

  • 1990A single-server queue with server vacations and a class of non-renewal arrival processes535 cited
  • 1978Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector154 cited
  • 1992Statistical multiplexing of VBR sources: A matrix-analytic approach138 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
  • 2001The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue36 cited
  • 2002Efficient solution of multiple server queues with application to the modeling of ATM concentrators31 cited
  • 2002The delay distribution of a type k customer in a first-come-first-served MMAP[K]/PH[K]/1 queue20 cited
  • 1995Performance analysis of a telephone system with both patient and impatient customers20 cited
  • 2002A NEW ALGORITHM FOR COMPUTING THE RATE MATRIX OF GI/M/1 TYPE MARKOV CHAINS19 cited

Cited by

  • 2014Mathematical Analysis of Queue with Phase Service: An Overview16 cited

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