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Simple Inequalities for the D/G/1 Queue
16 references·1 citing·39 second hop
Simple Inequalities for the D/G/1 Queue (1987)Simple Inequalities for the D/G/1 QueueThe single-server queue with independent GI/G and M/G input streams (1987)The single-server queue with …On the stationary waiting-time distribution in the GI/G/ 1 queue, I: Transform methods and almost-phase-type distributions (1987)On the stationary waiting-tim…Comparison Methods for Queues and Other Stochastic Models. (1986)Comparison Methods for Queues…Stationary waiting time distribution in queues with phase type service and in quasi-birth-and-death processes (1985)Stationary waiting time distr…Stationary and Cyclostationary Finite Buffer Behaviour Computation via Levinson's Method (1984)Stationary and Cyclostationar…The Single Server Queue. (1983)The Single Server Queue.The Single Server Queue (1983)The Single Server QueueThe marshall and stoyan bounds for IMRL/G/1 queues are tight (1982)The marshall and stoyan bound…Queueing Models for Computer Communications System Analysis (1977)Queueing Models for Computer …On the Probability of Buffer Overflow Under an Arbitrary Bounded Input-Output Distribution (1974)On the Probability of Buffer …Bounds on the delay distribution inGI/G/1 queues (1974)Bounds on the delay distribut…Bounds on the Wait in a GI/M/k Queue (1973)Bounds on the Wait in a GI/M/…Inequalities in the Theory of Queues (1970)Inequalities in the Theory of…THE LIMITING DISTRIBUTION OF THE VIRTUAL WAITING TIME AND THE QUEUE SIZE FOR A SINGLE-SERVER QUEUE WITH RECURRENT INPUT AND GENERAL SERVICE TIMES (1963)THE LIMITING DISTRIBUTION OF …Some Inequalities for the Queue GI/G/1 (1962)Some Inequalities for the Que…Some Problems in the Theory of Queues (1951)Some Problems in the Theory o…Algorithms for the upper bound mean waiting time in the GI/GI/1 queue (2020)Algorithms for the upper boun…On the theory of queues with many servers (1955)Approximations in finite-capacity multi-server queues by Poisson arrivals (1978)Performance bounds for queueing networks and scheduling policies (1994)Tractable stochastic analysis in high dimensions via robust optimization (2012)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)The stability of a queue with non-independent inter-arrival and service times (1962)A martingale inequality in the theory of queues (1964)Chapter 5 Performance evaluation of production networks (1993)Asymptotically tight steady-state queue length bounds implied by drift conditions (2012)Some Inequalities in Queuing (1968)The continuity of queues (1974)Conditioned limit theorems relating a random walk to its associate, with applications to risk reserve processes and the GI/G/1 queue (1982)Facility Location with Stochastic Demand and Constraints on Waiting Time (2008)Operator-geometric stationary distributions for markov chains, with application to queueing models (1982)Matrix-Geometric Solutions to Stochastic Models (1984)Matrix geometric solutions in stochastic models (1987)From the matrix-geometric to the matrix-exponential (1990)Matrix Analytic Methods (2000)Modeling Load and Overwork Effects in Queueing Systems with Adaptive Service Rates (2016)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Two Interfering Queues in Packet-Radio Networks (1983)Simultaneity in discrete-time single server queues with Bernoulli inputs (1992)Analysis and Application of Polling Models (2000)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Optimal Investment Policies for a Firm With a Random Risk Process: Exponential Utility and Minimizing the Probability of Ruin (1995)Extreme Values in the GI/G/1 Queue (1972)Asymptotic behaviour of Wiener-Hopf factors of a random walk (1977)Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines (1996)Functional limit theorems for the queue GI/G/1 in light traffic (1971)A single-server queue with limited virtual waiting time (1974)Limit theorems for periodic queues (1977)On Queueing Processes with Bulk Service (1954)On Queues in Heavy Traffic (1962)Control Techniques for Complex Networks (2007)Manufacturing flow line systems: a review of models and analytical results (1992)The origin of bursts and heavy tails in human dynamics (2005)Modeling bursts and heavy tails in human dynamics (2006)
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References

  • 1986Comparison Methods for Queues and Other Stochastic Models.938 cited
  • 1983The Single Server Queue844 cited
  • 1951Some Problems in the Theory of Queues653 cited
  • 1983The Single Server Queue.370 cited
  • 1970Inequalities in the Theory of Queues245 cited
  • 1962Some Inequalities for the Queue GI/G/1222 cited
  • 1977Queueing Models for Computer Communications System Analysis185 cited
  • 1974Bounds on the delay distribution inGI/G/1 queues80 cited
  • 1963THE LIMITING DISTRIBUTION OF THE VIRTUAL WAITING TIME AND THE QUEUE SIZE FOR A SINGLE-SERVER QUEUE WITH RECURRENT INPUT AND GENERAL SERVICE TIMES63 cited
  • 1985Stationary waiting time distribution in queues with phase type service and in quasi-birth-and-death processes54 cited
  • 1974On the Probability of Buffer Overflow Under an Arbitrary Bounded Input-Output Distribution38 cited
  • 1987The single-server queue with independent GI/G and M/G input streams26 cited
  • 1982The marshall and stoyan bounds for IMRL/G/1 queues are tight21 cited
  • 1984Stationary and Cyclostationary Finite Buffer Behaviour Computation via Levinson's Method19 cited
  • 1987On the stationary waiting-time distribution in the GI/G/ 1 queue, I: Transform methods and almost-phase-type distributions

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17 cited
  • 1973Bounds on the Wait in a GI/M/k Queue14 cited
  • Cited by

    • 2020Algorithms for the upper bound mean waiting time in the GI/GI/1 queue12 cited