Mathematical Model of Parallel Retrial Queueing of Multiple Requests
S. P. Moiseeva, I. A. Zakhorol'naya
Tomsk State University
smoiseeva@mail.ru, izax@mail2000.ru
Keywords: non-Markov systems with an unlimited number of servers, Poisson flow of multiple requests, retrial queueing
Pages: 51-58
Abstract
A model of parallel queueing of requests is developed for a queueing system consisting of two units with an unlimited number of servers in each unit and with retrial queueing in the units. An analytic expression is obtained for the generating function of the multi-dimensional state probability distribution of the random vector which characterizes the number of requests in each unit and the number of repeated calls to each unit in a nonstationary mode.
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