Abstract
The busy period of the GI/D/∞ queue is determined as the time when at least one customer is served. Let v be the number of customers served during this period. The busy period of order n is defined as a busy period for which v ≧ n. In this paper we derive the exact distributions, integral equations, characteristic functions and all moments of those periods. Finally, some properties of the idle periods of order n are established.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference5 articles.
1. Kuljukina L. A. et al. (1977) Statistical research of the probability distribution of streamer track ionization parameters (in Russian). Comm. JINR P5–11143, Dubna.
2. Determination of bubble density
3. A Combinatorial Identity and Its Application to the Problem Concerning the First Occurrence of a Rare Event
4. Clustering of events in a stochastic process
5. Dvurecenskij A. , Kuljukina L. A. and Ososkov G. A. (1981) On estimation of track ionizations in track chambers (in Russian). Preprint JINR 5–81–362, Dubna.
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