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The PH/PH/1 queue at epochs of queue size change
8 references·3 citing·37 second hop
The PH/PH/1 queue at epochs of queue size change (1997)The PH/PH/1 queue at epochs of queue size…A logarithmic reduction algorithm for quasi-birth-death processes (1993)A logarithmic reduction algor…Probabilistic interpretations of some duality results for the matrix paradigms in queueing theory (1990)Probabilistic interpretations…From the matrix-geometric to the matrix-exponential (1990)From the matrix-geometric to …Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue (1989)Markov processes whose steady…An experimental evaluation of the matrix-geometric method for theGI/PH/1 queue (1989)An experimental evaluation of…Applied Probability and Queues (1987)Applied Probability and QueuesExplicit Steady-State Solutions to Some Elementary Queueing Models (1982)Explicit Steady-State Solutio…Renewal processes of phase type (1978)Renewal processes of phase ty…Mathematical Analysis of Queue with Phase Service: An Overview (2014)Mathematical Analysis of Queu…Q-MAM: A Tool for Solving Infinite Queues using Matrix-Analytic Methods (2008)Q-MAM: A Tool for Solving Inf…Solving the ME/ME/1 queue with state–space methods and the matrix sign function (2005)Solving the ME/ME/1 queue wit…Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)Diffusion Approximation for an M / G / m Queue (1983)The caudal characteristic curve of queues (1984)The n/g/l finite capacity queue (1989)Matrix-Geometric Solutions to Stochastic Models (1984)Opsearch (1985)Chapter 10 Queueing theory (1990)Exact and approximate numerical solutions of steady-state distributions arising in the queueGI/G/1 (1992)ANALYTICALLY EXPLICIT RESULTS FOR THE GI/C-MSP/1/∞ QUEUEING SYSTEM USING ROOTS (2012)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Queueing Theory: A Linear Algebraic Approach (2012)The N/G/1 queue and its detailed analysis (1980)Invariant measures for quasi-birth-and-death processes (1998)A CONSTRUCTIVE METHOD FOR FINDING β-INVARIANT MEASURES FOR TRANSITION MATRICES OF M/G/1 TYPE (2002)A single-server queue with server vacations and a class of non-renewal arrival processes (1990)New results on the single server queue with a batch markovian arrival process (1991)Computational methods in risk theory: A matrix-algorithmic approach (1992)The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue (2001)Sojourn time distributions in the queue defined by a general QBD process (2006)Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations (1985)Queueing systems with vacations ? A survey (1986)Fundamentals of Queueing Theory. (1977)The Single Server Queue (1983)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)Theory, Volume 1, Queueing Systems (1975)Semi-explicit solutions for M/PH/1-like queuing systems (1983)Exponential Queues with Server Vacations (1986)On the Cycle Time Distribution in a Two-Stage Cyclic Network with Blocking (1989)Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes (1995)Spectral analysis ofM/G/1 andG/M/1 type Markov chains (1996)The Batch Markovian Arrival Process: A Review and Future Work (2001)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Asset Pricing with Heterogeneous Consumers (1996)
this work references cited by second hop

References

  • 1987Applied Probability and Queues2,704 cited
  • 1993A logarithmic reduction algorithm for quasi-birth-death processes391 cited
  • 1989Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue108 cited
  • 1978Renewal processes of phase type105 cited
  • 1990Probabilistic interpretations of some duality results for the matrix paradigms in queueing theory58 cited
  • 1990From the matrix-geometric to the matrix-exponential44 cited
  • 1982Explicit Steady-State Solutions to Some Elementary Queueing Models38 cited
  • 1989An experimental evaluation of the matrix-geometric method for theGI/PH/1 queue30 cited

Cited by

  • 2014Mathematical Analysis of Queue with Phase Service: An Overview16 cited
  • 2008Q-MAM: A Tool for Solving Infinite Queues using Matrix-Analytic Methods16 cited
  • 2005Solving the ME/ME/1 queue with state–space methods and the matrix sign function16 cited

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