UDC 519.21
ASYMPTOTIC BEHAVIOR OF EXTREME VALUES OF QUEUE LENGTH
IN M /M /m SYSTEMS
Abstract. The paper investigates the asymptotic behavior of almost surely extreme values of processes specifying queue length.
For a system M /M /m, 1 ≤m <∞, a statement of the type of law of the iterated logarithm is established.
We also consider the case m = ∞, for which the asymptotic behavior is much different.
Keywords: queuing system M /M /m, extreme values of queue length, asymptotic behavior almost surely.
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