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On the use of a fundamental identity in the theory of semi-Markov queues
8 references·6 citing·34 second hop
On the use of a fundamental identity in the theory of semi-Markov queues (1972)On the use of a fundamental identity in t…Time dependence of queues with semi-Markovian services (1967)Time dependence of queues wit…Queues with semi-Markovian arrivals (1967)Queues with semi-Markovian ar…QUEUES AND INVENTORIES (1967)QUEUES AND INVENTORIESThe single server queue with Poisson input and semi-Markov service times (1966)The single server queue with …Queues and Inventories. (1966)Queues and Inventories.On the algebra of queues (1966)On the algebra of queuesThe stability of a queue with non-independent inter-arrival and service times (1962)The stability of a queue with…Stationary Waiting-Time Distributions for Single-Server Queues (1962)Stationary Waiting-Time Distr…Fundamental characteristics of queues with fluctuating load (2006)Fundamental characteristics o…Fundamental characteristics of queues with fluctuating load (2006)Fundamental characteristics o…An approximation for performance evaluation of stationary single server queues (2002)An approximation for performa…The single server semi-markov queue (1986)The single server semi-markov…On fluctuation problems in the theory of queues (1976)On fluctuation problems in th…Random Flow in Queueing Networks: A Review and Critique (1975)Random Flow in Queueing Netwo…Introduction to the Theory of Queues. (1963)Two queues in series with a finite, intermediate waitingroom (1968)A queue subject to extraneous phase changes (1971)On a Class of Semi-Markov Risk Models Obtained as Classical Risk Models in a Markovian Environment (1984)Elements of Queueing Theory (2003)Elements of Queueing Theory (2014)The theory of queues with a single server (1952)Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain (1953)Fluctuation theory in continuous time (1975)Fluctuation theory in continuous time (1975)Heavy traffic theory for queues with several servers. II (1979)On the distribution of queueing times (1953)A queueing system with Markov-dependent arrivals (1985)FLUID MODELS WITH JUMPS (2005)The N/G/1 queue and its detailed analysis (1980)A single-server queue with server vacations and a class of non-renewal arrival processes (1990)Spectral expansion solution for a class of Markov models: application and comparison with the matrix-geometric method (1995)Asymptotically Optimal Controls for Time-Inhomogeneous Networks (2011)Blending randomness in closed queueing network models (2014)The RESET and MARC techniques, with application to multiserver-job analysis (2023)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Fundamentals of Queueing Theory. (1977)Introduction to Stochastic Processes (2014)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)Generalizations of the Pollaczek-Khinchin integral equation in the theory of queues (1986)Non-Skip-Free M/G/ 1 and G/M/ 1 Type Markov Chains (1997)The semi-markovian queue: theory and applications (1990)THE EFFECT OF CORRELATED ARRIVALS ON QUEUES (1993)On the tails of waiting-time distributions (1975)Transient solutions in markovian queueing systems (1977)The Output of a Queueing System (1981)A Basic Dynamic Routing Problem and Diffusion (1978)
this work references cited by second hop

References

  • 1962The stability of a queue with non-independent inter-arrival and service times1,045 cited
  • 1967QUEUES AND INVENTORIES281 cited
  • 1966Queues and Inventories.236 cited
  • 1966On the algebra of queues112 cited
  • 1966The single server queue with Poisson input and semi-Markov service times92 cited
  • 1967Queues with semi-Markovian arrivals68 cited
  • 1967Time dependence of queues with semi-Markovian services62 cited
  • 1962Stationary Waiting-Time Distributions for Single-Server Queues46 cited

Cited by

  • 2006Fundamental characteristics of queues with fluctuating load27 cited
  • 1975Random Flow in Queueing Networks: A Review and Critique27 cited
  • 1986The single server semi-markov queue26 cited
  • 2002An approximation for performance evaluation of stationary single server queues24 cited
  • 1976On fluctuation problems in the theory of queues24 cited
  • 2006Fundamental characteristics of queues with fluctuating load15 cited

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