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Renewal processes of phase type
1 references·16 citing·40 second hop
Renewal processes of phase type (1978)Renewal processes of phase typeMarkov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)Markov chains with applicatio…Discovering Queues from Event Logs with Varying Levels of Information (2016)Discovering Queues from Event…Finite capacity vacation models with non-renewal input (1991)Finite capacity vacation mode…The n/g/l finite capacity queue (1989)The n/g/l finite capacity que…A continuous review perishable inventory model (1988)A continuous review perishabl…The caudal characteristic curve of queues (1986)The caudal characteristic cur…The caudal characteristic curve of queues (1984)The caudal characteristic cur…On the Overflow Process from a Finite Markovian Queue (1984)On the Overflow Process from …Semi-explicit solutions for M/PH/1-like queuing systems (1983)Semi-explicit solutions for M…Diffusion Approximation for an M / G / m Queue (1983)Diffusion Approximation for a…The GI/PH/1 Queue: a Method to Find The Transition Matrix (1982)The GI/PH/1 Queue: a Method t…The c — Server Queue with Constant Service Times and a Versatile Markovian Arrival Process (1982)The c — Server Queue with Con…Solutions of M/G/1//N-type Loops with Extensions to M/G/1 and GI/M/1 Queues (1982)Solutions of M/G/1//N-type Lo…Asymptotic exponentiality of the tail of the waiting-time distribution in a Ph/Ph/C queue (1981)Asymptotic exponentiality of …Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers (1981)Asymptotic behavior of the st…The N/G/1 queue and its detailed analysis (1980)The N/G/1 queue and its detai…Some explicit formulas and computational methods for infinite-server queues with phase-type arrivals (1980)Some explicit formulas and co…A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Queueing systems with vacations ? A survey (1986)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Analysis of the MAP/G a ,b /1/N Queue (2001)The complete analysis of the discrete time finite DBMAP/G/1/N queue (2001)Computing queue length distributions in MAP/G/1/N queue under single and multiple vacation (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)Cell loss and output process analyses of a finite-buffer discrete-time ATM queueing system with correlated arrivals (1995)Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks (2017)On the theory of queues with many servers (1955)Poisson Arrivals See Time Averages (1982)Applications of Queueing Theory (1985)A Two-Moment Approximation for the Mean Waiting Time in the GI/G/s Queue (1986)Strong Convexity Results for Queueing Systems (1987)On the inapproximability of M/G/K: why two moments of job size distribution are not enough (2009)Some Inequalities for the Queue GI/G/1 (1962)The Interrupted Poisson Process As An Overflow Process (1973)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)Matrix-analytic methods in queuing theory (1984)Modeling and analysis of communication systems based on computational methods for Markov chains (1990)Real-Time Delay Estimation Based on Delay History (2008)On the algebra of queues (1966)Stochastic Processes in Queueing Theory (1976)A Transform-Free Approximation for the Finite Capacity M/G/s Queue (1996)Light tail asymptotics in multidimensional reflecting processes for queueing networks (2011)A Continous-Review (s, S) Inventory System with Arbitrary Interarrival Distribution between Unit Demand (1974)Optimal Ordering Policies for Continuous Review Perishable Inventory Models (1980)Perishable Inventory Theory: A Review (1982)Continuous review inventory models for perishable items ordered in batches (2010)Two substitutable perishable product disaster inventory systems (2015)INVENTORY MANAGEMENT CONCEPTS AND IMPLEMENTATIONS: A SYSTEMATIC REVIEW (2022)Introduction to the Theory of Queues. (1963)Production-inventory systems in stochastic environment and stochastic lead times (2011)On the performance of bursty and correlated sources subject to leaky bucket rate-based access control schemes (1991)On the theory of general on-off sources with applications in high-speed networks (2002)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)Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue (1989)
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References

  • 1978Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector154 cited

Cited by

  • 1989The n/g/l finite capacity queue105 cited
  • 1983Diffusion Approximation for an M / G / m Queue90 cited
  • 1984The caudal characteristic curve of queues86 cited
  • 1986The caudal characteristic curve of queues81 cited
  • 1981Asymptotic exponentiality of the tail of the waiting-time distribution in a Ph/Ph/C queue80 cited
  • 1981Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers78 cited
  • 1988A continuous review perishable inventory model52 cited
  • 1991Finite capacity vacation models with non-renewal input48 cited
  • 1980Some explicit formulas and computational methods for infinite-server queues with phase-type arrivals43 cited
  • 1984On the Overflow Process from a Finite Markovian Queue35 cited
  • 1980The N/G/1 queue and its detailed analysis35 cited
  • 1982Solutions of M/G/1//N-type Loops with Extensions to M/G/1 and GI/M/1 Queues34 cited
  • 1983Semi-explicit solutions for M/PH/1-like queuing systems33 cited
  • 1982The GI/PH/1 Queue: a Method to Find The Transition Matrix

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31 cited
  • 1982The c — Server Queue with Constant Service Times and a Versatile Markovian Arrival Process29 cited
  • 2016Discovering Queues from Event Logs with Varying Levels of Information28 cited