Transient exponential-Erlang queues and steady-state simulation
Communications of the ACM
Calculating transient distributions of cumulative reward
Proceedings of the 1995 ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
The problem of the initial transient in digital computer simulation
WSC '76 Proceedings of the 76 Bicentennial conference on Winter simulation
Techniques for data-truncation in digital computer simulation.
Techniques for data-truncation in digital computer simulation.
Warm-up periods in simulation can be detrimental
Probability in the Engineering and Informational Sciences
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A theoretical application of transient queueing analysis is provided for military air traffic control. The exact distribution of the nth arriving or departing flight's sojourn time in an M/M/s queue with k flights initially present is reviewed. Algorithms previously developed for computing the covariance between sojourn times for an M/M/1 queue with k ≥ 0 flights present at time zero are provided and utilized. Maple computer code is utilized for practical applications in air traffic control of transient queue analysis for many system measures of performance without regard to traffic intensity (i.e., the system may be unstable with traffic intensity greater than one), thus negating the need for simulation.