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Approximation of the queue-length distribution of an M/GI/s queue by the basic equations

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References

1978Approximations in finite-capacity multi-server queues by Poisson arrivals139 cited
1978Approximations for the M/G/m Queue129 cited
1979Approximations of the Mean Waiting Time in an M/G/s Queueing System113 cited
1981Approximations for the steady-state probabilities in theM/G/cqueue99 cited
1983Diffusion Approximation for an M / G / m Queue90 cited
1979Heavy traffic theory for queues with several servers. II88 cited
1971A relation between stationary queue and waiting time distributions85 cited
1983The derivation of invariance relations in complex queueing systems with stationary inputs83 cited
1981Asymptotic exponentiality of the tail of the waiting-time distribution in a Ph/Ph/C queue80 cited
1974Heavy traffic theory for queues with several servers. I76 cited
1979A formal approach to queueing processes in the steady state and their applications69 cited
1983A Light-Traffic Theorem for Multi-Server Queues55 cited
1981Queueing Tables and Graphs.54 cited
1985Algorithms and Approximations for Queueing Systems.52 cited
1977AN APPROXIMATION FORMULA FOR THE MEAN WAITING TIME OF AN M/G/c QUEUE44 cited

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Cited by

2008BALKING AND RENEGING IN M/G/s SYSTEMS EXACT ANALYSIS AND APPROXIMATIONS26 cited
1995Approximations for the delay probability in the M/G/s queue23 cited
2005A Two-Moment Approximation for the GI/G/c Queue with Finite Capacity22 cited
2006An algorithm for repairable item inventory system with depot spares and general repair time distribution18 cited
2011On Markov–Krein characterization of the mean waiting time in M/G/K and other queueing systems13 cited
2000Equivalence relations in the approximations for the M/G/s/s + r queue13 cited
1991The Characterization of the Stationary Distribution of the Supplemented Self-Clocking Jump Process13 cited