Abstract
We consider a queuing system (≤ λ)/G/m, where the symbol (≤ λ) means that, independently of prehistory, the probability of arrival of a call during the time interval dtdoes not exceed λdt. The case where the queue length first attains the level r≥ m+ 1 during a busy period is called the refusal of the system. We determine a bound for the intensity μ1(t) of the flow of homogeneous events associated with the monotone refusals of the system, namely, μ1(t) = O(λr+ 1α1 m− 1α r− m+ 1), where α k is the kth moment of the service-time distribution.
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Kovalenko, I.N. Estimation of the Intensity of the Flow of Nonmonotone Refusals in the Queuing System (≤ λ)/G/m. Ukrainian Mathematical Journal 52, 1396–1402 (2000). https://doi.org/10.1023/A:1010328002361
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DOI: https://doi.org/10.1023/A:1010328002361