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On the behavior of LIFO preemptive resume queues in heavy traffic. (English) Zbl 0955.60097

The heavy traffic behavior of a G/G/1 last-in-first-out preemptive resume queue is studied. The results are derived by extending the techniques developed for M/G/1 queues in a recent paper of the author [“A LIFO queue in heavy traffic” (Techn. Rep., UC San Diego 1999), available at http://math.cornell.edu/~limic/)].

MSC:

60K25 Queueing theory (aspects of probability theory)
60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
90B22 Queues and service in operations research