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Application of the Superposition of Renewal Processes to the Study of Batch Arrival Queues
Authors:Bratiychuk  M.S.  Kempa  W.
Affiliation:(1) Silesian Technical University, Gliwice, Poland
Abstract:The GTHgr/G/1-type batch arrival system is considered. We deal with non-steady-state characteristics of the system like the first busy period and the first idle time, the number of customers served on the first busy period. The study is based on a generalization of Korolyuk's method which he developed for semi-Markov random walks.
Keywords:batch arrival G  /content/m061756777666248/xxlarge920.gif"   alt="  THgr"   align="  BASELINE"   BORDER="  0"  >/G/1 queueing system  busy period  idle time  canonical factorization
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