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The quasi-birth-death type markov chain with a tree structure
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The quasi-birth-death type markov chain with a tree structure (1999)The quasi-birth-death type markov chain w…A generalization of the matrix M/G/l paradigm for Markov chains with a tree structure (1995)A generalization of the matri…Matrix product-form solutions for Markov chains with a tree structure (1994)Matrix product-form solutions…A logarithmic reduction algorithm for quasi-birth-death processes (1993)A logarithmic reduction algor…A duality theorem for the matrix paradigms in queueing theory (1990)A duality theorem for the mat…Triangular M/G/1-Type and Tree-Like Quasi-Birth-Death Markov Chains (2010)Triangular M/G/1-Type and Tre…Analyzing priority queues with 3 classes using tree-like processes (2006)Analyzing priority queues wit…Tree Structured QBD Markov Chains and Tree‐Like QBD Processes (2003)Tree Structured QBD Markov Ch…STABILITY AND PERFORMANCE OF STACK ALGORITHMS FOR RANDOM ACCESS COMMUNICATION MODELED AS A TREE STRUCTURED QBD MARKOV CHAIN (2001)STABILITY AND PERFORMANCE OF …Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Combining make to order and make to stock (1998)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)DES AND RES PROCESSES AND THEIR EXPLICIT SOLUTIONS (2014)Fitting correlated arrival and service times and related queueing performance (2017)EXPLICIT SOLUTIONS FOR CONTINUOUS-TIME QBD PROCESSES BY USING RELATIONS BETWEEN MATRIX GEOMETRIC ANALYSIS AND THE PROBABILITY GENERATING FUNCTIONS METHOD (2020)Introduction to the Theory of Queues. (1963)Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)The N/G/1 queue and its detailed analysis (1980)Probabilistic interpretations of some duality results for the matrix paradigms in queueing theory (1990)Some properties of the rate perators in level dependent uasi-birth-and-death processes with countable number of phases (1996)Fluid Flow Models and Queues—A Connection by Stochastic Coupling (2003)The stability of a queue with non-independent inter-arrival and service times (1962)New results on the single server queue with a batch markovian arrival process (1991)The $$MMAP\left[ K \right]/PH\left[ K \right]/1$$ queues with a last-come-first-served preemptive service discipline (1998)The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue (2001)Statistical multiplexing of VBR sources: A matrix-analytic approach (1992)Age Process, Workload Process, Sojourn Times, and Waiting Times in a Discrete Time SM[K]/PH[K]/1/FCFS Queue (2005)Computation of Steady-State Probabilities for M/M/1 Priority Queues (1981)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)Poisson Arrivals See Time Averages (1982)Applied Probability and Queues (1987)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)
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References

  • 1993A logarithmic reduction algorithm for quasi-birth-death processes391 cited
  • 1990A duality theorem for the matrix paradigms in queueing theory90 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

Cited by

  • 2001STABILITY AND PERFORMANCE OF STACK ALGORITHMS FOR RANDOM ACCESS COMMUNICATION MODELED AS A TREE STRUCTURED QBD MARKOV CHAIN37 cited
  • 2003Tree Structured QBD Markov Chains and Tree‐Like QBD Processes27 cited
  • 2010Triangular M/G/1-Type and Tree-Like Quasi-Birth-Death Markov Chains26 cited
  • 2006Analyzing priority queues with 3 classes using tree-like processes15 cited

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