Abstract
A one-server loss system with Poisson arrival stream and deterministic service times is considered conditional on the number of customers who appeared up to a givenT. This condition implies that the arrival times form a sample of the uniform distribution on (0,T]. We derive several characteristics of interest, such as the blocking probability at any given timet ∈ (0,T], the probability that exactlyi of the customers in (0,T] are served and, as a generalization, the distribution of the number of served customers arriving in any subinterval of (0,T].
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Stadje, W. On a loss system with a given number of customers. Queueing Syst 12, 325–331 (1992). https://doi.org/10.1007/BF01158807
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DOI: https://doi.org/10.1007/BF01158807