2006
DOI: 10.1007/s10559-006-0103-6
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Stationary characteristics of a single-channel queuing system with one waiting space

Abstract: A semi-Markovian model of a queuing system, with a discrete-continuous phase space of states is developed. Its main stationary characteristics are determined.

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“…But if the incoming flux of requests makes a renewal process and request service time distribution is of general kind, essential difficulties arise when defining system stationary characteristics in explicit form. To overcome them an apparatus of semi-Markovian processes with a common phase field of states is used in the works [5,6]. Thus, in [6] stationary characteristics of the single-server queue system 1 0 GI G with losses were found.…”
Section: Introductionmentioning
confidence: 99%
“…But if the incoming flux of requests makes a renewal process and request service time distribution is of general kind, essential difficulties arise when defining system stationary characteristics in explicit form. To overcome them an apparatus of semi-Markovian processes with a common phase field of states is used in the works [5,6]. Thus, in [6] stationary characteristics of the single-server queue system 1 0 GI G with losses were found.…”
Section: Introductionmentioning
confidence: 99%