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Phase-type representations for matrix-geometric solutions
6 references·5 citing·35 second hop
Phase-type representations for matrix-geometric solutions (1990)Phase-type representations for matrix-geo…The semi-markovian queue: theory and applications (1990)The semi-markovian queue: the…From the matrix-geometric to the matrix-exponential (1990)From the matrix-geometric to …A duality theorem for the matrix paradigms in queueing theory (1990)A duality theorem for the mat…Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue (1989)Markov processes whose steady…Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-Geometric Solutions to…Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)Markov chains with applicatio…Applications in Queueing Theory (2013)Applications in Queueing Theo…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…Age Process, Workload Process, Sojourn Times, and Waiting Times in a Discrete Time SM[K]/PH[K]/1/FCFS Queue (2005)Age Process, Workload Process…An analysis of queueing systems with multi-task servers (2003)An analysis of queueing syste…Representations for matrix-geometric and matrix-exponential steady-state distributions with applications to many-server queues (1998)Representations for matrix-ge…Fundamentals of Queueing Theory. (1977)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)A multi-server retrial queueing-inventory system with asynchronous multiple vacations (2023)Introduction to the Theory of Queues. (1963)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)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Commuting Matrices in the Queue Length and Sojourn Time Analysis of MAP/MAP/1 Queues (2014)Mathematical Analysis of Queue with Phase Service: An Overview (2014)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)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)On cycle maxima, first passage problems and extreme value theory for queues (1992)Fundamental characteristics of queues with fluctuating load (2006)The Single Server Queue (1983)Matrix-geometric solutions in stochastic models (1985)A Queue with Service Interruptions in an Alternating Random Environment (1990)Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain (1953)Applied Probability and Queues (2003)Stability of Fluid Queueing Systems With Parallel Servers and Stochastic Capacities (2018)Applications of fluid models in service operations management (2022)Flow-through tensors: A unified computational graph architecture for multi-layer transportation network optimization (2025)Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Inventory Control in a Fluctuating Demand Environment (1993)To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems (2003)Q-MAM: A Tool for Solving Infinite Queues using Matrix-Analytic Methods (2008)Efficient analysis of the MMAP[K]/PH[K]/1 priority queue (2015)Computation of Steady-State Probabilities for M/M/1 Priority Queues (1981)Standard and retrial queueing systems: a comparative analysis (2002)
this work references cited by second hop

References

  • 1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
  • 1978Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector154 cited
  • 1989Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue108 cited
  • 1990A duality theorem for the matrix paradigms in queueing theory90 cited
  • 1990The semi-markovian queue: theory and applications63 cited
  • 1990From the matrix-geometric to the matrix-exponential44 cited

Cited by

  • 2013Applications in Queueing Theory26 cited
  • 2005Age Process, Workload Process, Sojourn Times, and Waiting Times in a Discrete Time SM[K]/PH[K]/1/FCFS Queue19 cited
  • 2003An analysis of queueing systems with multi-task servers18 cited
  • 2012Analysis of a continuous time SM[K]/PH[K]/1/FCFS queue: Age process, sojourn times, and queue lengths17 cited
  • 1998Representations for matrix-geometric and matrix-exponential steady-state distributions with applications to many-server queues16 cited

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