Abstract
This paper presents a loss model in which a general renewal arrival stream is served by any number of general renewal servers, i.e., theGI/GI/s/s model. Using linear algebraic queueing theory (LAQT), we provide the exact steady-state solution of the number of customers in theGI/GI/s/s model at general, arrival, and departure times. We show that the steady-state solution at arrival times can be used to approximate those at general times and that the third moment of the arrival process significantly affects this approximation. Finally, we show that a conjectured inequality does not hold.
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This work was performed while at the University of Missouri-Kansas City.
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Hsin, WJ., van de Liefvoort, A. The teletraffic analysis of the multi-server loss model with renewal distributions. Telecommunication Systems 5, 303–321 (1996). https://doi.org/10.1007/BF02112520
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DOI: https://doi.org/10.1007/BF02112520