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Time-Dependent Solution of the Many-Server Poisson Queue
5 references·7 citing·37 second hop
Time-Dependent Solution of the Many-Server Poisson Queue (1960)Time-Dependent Solution of the Many-Serve…Many server queueing processes with Poisson input and exponential service times (1958)Many server queueing processe…An Elementary Method of Solution of the Queueing Problem with a Single Server and Constant Parameters (1956)An Elementary Method of Solut…On the theory of queues with many servers (1955)On the theory of queues with …A Continuous Time Treatment of a Simple Queue using Generating Functions (1954)A Continuous Time Treatment o…Some Problems in the Theory of Queues (1951)Some Problems in the Theory o…Multi-server accumulating priority queues with heterogeneous servers (2016)Multi-server accumulating pri…The busy period of an M/M/1 queue with balking and reneging (2013)The busy period of an M/M/1 q…Transient analytical solution of M/D/1/N queues (2002)Transient analytical solution…Transient solution to the many-server Poisson queue: a simple approach (1989)Transient solution to the man…Transient exponential-Erlang queues and steady-state simulation (1985)Transient exponential-Erlang …On Two-Server Poisson Queues with Two Types of Customers (1973)On Two-Server Poisson Queues …On Poisson Queue with Two Heterogeneous Servers (1963)On Poisson Queue with Two Het…Introduction to the Theory of Queues. (1963)Detecting Initialization Bias in Simulation Output (1982)An Empirical Investigation of the Transient Behavior of Stationary Queueing Systems (1983)Elements of Queueing Theory with Applications (1962)Elements of Queueing Theory: With Applications. (1963)A transient solution to anM/M/1 queue: a simple approach (1987)On a new formula for the transient state probabilities forM/M/1 queues and computational implications (1993)Transient solution of a Markovian queuing model with heterogeneous servers and catastrophes (2015)Online Learning and Pricing for Service Systems with Reusable Resources (2022)Theory, Volume 1, Queueing Systems (1975)Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)The transient solution to queue (2005)Transient Queueing Analysis (2016)Waiting Lines with Heterogeneous Servers (1960)On Jockeying in Queues (1966)Resequencing delay for a queueing system with two heterogeneous servers under a threshold-type scheduling (1988)Routing and Staffing When Servers Are Strategic (2016)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)On the Characteristics of the General Queueing Process, with Applications to Random Walk (1956)Inequalities in the Theory of Queues (1970)Steady-state simulation of queueing processes: survey of problems and solutions (1990)Investigation of waiting time problems by reduction to Markov processes (1955)Some Recent Work and Further Problems in the Theory of Queues (1964)The Analysis of Simulation-Generated Time Series (1967)Transient behavior of the M/M/ 1 queue via Laplace transforms (1988)A Proof for the Queuing Formula: L = λ W (1961)A delay dependent queue discipline (1964)Poisson Arrivals See Time Averages (1982)Nonlinear Accumulating Priority Queues with Equivalent Linear Proxies (2017)Sixty Years of Queueing Theory (1969)A sample path analysis of theM/M/1 queue (1989)Imbedded Markov Chain Analysis of a Waiting-Line Process in Continuous Time (1959)Processor sharing: A survey of the mathematical theory (2007)On Queueing Processes with Bulk Service (1954)On Queues in Heavy Traffic (1962)Control Techniques for Complex Networks (2007)
this work references cited by second hop

References

  • 1951Some Problems in the Theory of Queues653 cited
  • 1955On the theory of queues with many servers313 cited
  • 1958Many server queueing processes with Poisson input and exponential service times182 cited
  • 1954A Continuous Time Treatment of a Simple Queue using Generating Functions122 cited
  • 1956An Elementary Method of Solution of the Queueing Problem with a Single Server and Constant Parameters73 cited

Cited by

  • 1963On Poisson Queue with Two Heterogeneous Servers54 cited
  • 1989Transient solution to the many-server Poisson queue: a simple approach54 cited
  • 2016Multi-server accumulating priority queues with heterogeneous servers39 cited
  • 1985Transient exponential-Erlang queues and steady-state simulation38 cited
  • 2002Transient analytical solution of M/D/1/N queues32 cited
  • 2013The busy period of an M/M/1 queue with balking and reneging19 cited
  • 1973On Two-Server Poisson Queues with Two Types of Customers18 cited

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