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On a new formula for the transient state probabilities forM/M/1 queues and computational implications

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References

1983The Single Server Queue844 cited
1988Transient behavior of the M/M/ 1 queue via Laplace transforms127 cited
1956An Elementary Method of Solution of the Queueing Problem with a Single Server and Constant Parameters73 cited
1982Some New Results for the M/M/1 Queue71 cited
1989A sample path analysis of theM/M/1 queue68 cited
1987A transient solution to anM/M/1 queue: a simple approach65 cited
1989Transient solution to the many-server Poisson queue: a simple approach54 cited
1989Calculating time-dependent performance measures for the M/M/1 queue47 cited
1976Lecture Notes on Queueing Systems.38 cited

Cited by

1995Organization and Management27 cited
2018Fractional Queues with Catastrophes and Their Transient Behaviour24 cited
2002A new formula for the transient behaviour of a non-empty M/M/1/∞ queue20 cited
2000A SIMPLE TRANSIENT ANALYSIS OF AN M/M/1/N QUEUE19 cited
1995Computing transient performance measures for the M/M/1 queue18 cited
2017A state-dependent queueing system with asymptotic logarithmic distribution16 cited

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1997

A Simple Formula for the Transient State Probabilities of an M/M/1/∞Queue

16 cited

1999On the convergence to stationarity of the many-server Poisson queue14 cited

2008A new formula for the transient solution of the Erlang queueing model12 cited