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Asymptotic Behaviors of the Loss Probability for a Finite Buffer Queue with QBD Structure
12 references·1 citing·40 second hop
Asymptotic Behaviors of the Loss Probability for a Finite Buffer Queue with QBD Structure (2007)Asymptotic Behaviors of the Loss Probabil…The stationary tail asymptotics in the GI/G/1-type queue with countably many background states (2004)The stationary tail asymptoti…GEOMETRIC DECAY OF THE STEADY-STATE PROBABILITIES IN A QUASI-BIRTH-AND-DEATH PROCESS WITH A COUNTABLE NUMBER OF PHASES (2001)GEOMETRIC DECAY OF THE STEADY…Stochastic block–monotonicity in the approximation of the stationary distribution of infinite markov chains (2000)Stochastic block–monotonicity…Asymptotic Behavior of Loss Probability in GI/M/1/K Queue as K Tends to Infinity (2000)Asymptotic Behavior of Loss P…Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Introduction to Matrix Analyt…Analysis of the loss probability of the map/g/1/k queue part ii: approximations and numerical results (1994)Analysis of the loss probabil…Analysis of the loss probability of the map/g/1/k queue part i: asymptotic theory (1994)Analysis of the loss probabil…Evaluating the Overflow Probability Using the Infinite Queue (1993)Evaluating the Overflow Proba…Matrix-geometric solutions in stochastic models (1985)Matrix-geometric solutions in…Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-Geometric Solutions to…Asymptotic exponentiality of the tail of the waiting-time distribution in a Ph/Ph/C queue (1981)Asymptotic exponentiality of …Introduction to the Theory of Queues. (1963)Introduction to the Theory of…Optimal Configuration of the Metro Rail Transit Station Service Facilities by Integrated Simulation-Optimization Method Using Passengers’ Flow Fluctuation (2018)Optimal Configuration of the …A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)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)A numerically efficient method for the MAP/D/1/K queue via rational approximations (1996)Analysis of the MAP/G a ,b /1/N Queue (2001)Two Similar Queues in Parallel (1961)SUFFICIENT CONDITIONS FOR A GEOMETRIC TAIL IN A QBD PROCESS WITH MANY COUNTABLE LEVELS AND PHASES (2005)Geometric Decay in a QBD Process with Countable Background States with Applications to a Join-the-Shortest-Queue Model (2007)Rare event asymptotics for a random walk in the quarter plane (2010)The stability of a queue with non-independent inter-arrival and service times (1962)Applied Probability and Queues (1987)Tail Decay Rates in Double QBD Processes and Related Reflected Random Walks (2009)Markovian arrivals in stochastic modelling: a survey and some new results (2010)Light tail asymptotics in multidimensional reflecting processes for queueing networks (2011)Introduction to Stochastic Processes (2014)On the algebra of queues (1966)Stochastic Processes in Queueing Theory (1976)Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers (1981)A Transform-Free Approximation for the Finite Capacity M/G/s Queue (1996)The Single Server Queue (1983)An algorithm for Ph/Ph/c queues (1986)Stochastic Modelling and Analysis: A Computational Approach. (1987)On steady-state queue size distributions of the discrete-time GI/G/1 queue (1996)System capacity and performance modelling of finite buffer queueing networks (2013)Loss probability behavior of Pareto/M/1/K queue (2003)Asymptotic Behavior of the Number of Lost Messages (2004)Tail asymptotics of the queue size distribution in the M/M/m retrial queue (2012)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)The Batch Markovian Arrival Process: A Review and Future Work (2001)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Fundamentals of Matrix-Analytic Methods (2013)A General Class of Bulk Queues with Poisson Input (1967)Stochastic Processes for Insurance and Finance (1999)Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System (2007)Models for analysis of packet voice communications systems (1986)Risk theory in a Markovian environment (1989)Russian and American put options under exponential phase-type Lévy models (2003)
this work references cited by second hop

References

  • 1999Introduction to Matrix Analytic Methods in Stochastic Modeling1,988 cited
  • 1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
  • 1963Introduction to the Theory of Queues.961 cited
  • 1985Matrix-geometric solutions in stochastic models871 cited
  • 1981Asymptotic exponentiality of the tail of the waiting-time distribution in a Ph/Ph/C queue80 cited
  • 2004The stationary tail asymptotics in the GI/G/1-type queue with countably many background states74 cited
  • 2001GEOMETRIC DECAY OF THE STEADY-STATE PROBABILITIES IN A QUASI-BIRTH-AND-DEATH PROCESS WITH A COUNTABLE NUMBER OF PHASES55 cited
  • 1994Analysis of the loss probability of the map/g/1/k queue part i: asymptotic theory39 cited
  • 2000Asymptotic Behavior of Loss Probability in GI/M/1/K Queue as K Tends to Infinity30 cited
  • 1993Evaluating the Overflow Probability Using the Infinite Queue24 cited
  • 2000Stochastic block–monotonicity in the approximation of the stationary distribution of infinite markov chains19 cited
  • 1994Analysis of the loss probability of the map/g/1/k queue part ii: approximations and numerical results19 cited

Cited by

  • 2018Optimal Configuration of the Metro Rail Transit Station Service Facilities by Integrated Simulation-Optimization Method Using Passengers’ Flow Fluctuation16 cited

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