Heavy outgoing call asymptotics for MMPP/M/1/1 retrial queue with two-way communication A. A. Nazarov, T. Phung-Duc, S. Paul
Material type:
ArticleSubject(s): гауссовское приближение | асимптотический анализ | марковские процессы | системы массового обслуживания с повторными вызовамиGenre/Form: статьи в сборниках Online resources: Click here to access online
In:
Information Technologies and Mathematical Modelling. Queueing Theory and Applications : 16th International Conference, ITMM 2017, named after A. F. Terpugov, Kazan, Russia, September 29 - October 3, 2017 : proceedings P. 28-41Abstract: In this paper, we consider an MMPP/M/1/1 retrial queue where incoming fresh calls arrive at the server according to a Markov modulated Poisson process. Upon arrival, an incoming call either occupies the server if it is idle or joins an orbit if the server is busy. From the orbit, an incoming call retries to occupy the server and behaves the same as a fresh incoming call. The server makes an outgoing call in its idle time. Our contribution is to derive the asymptotics of the number of calls in retrial queue under the conditions of high rate of making outgoing calls and low rate of service time of outgoing calls.
Библиогр.: 10 назв.
In this paper, we consider an MMPP/M/1/1 retrial queue where incoming fresh calls arrive at the server according to a Markov modulated Poisson process. Upon arrival, an incoming call either occupies the server if it is idle or joins an orbit if the server is busy. From the orbit, an incoming call retries to occupy the server and behaves the same as a fresh incoming call. The server makes an outgoing call in its idle time. Our contribution is to derive the asymptotics of the number of calls in retrial queue under the conditions of high rate of making outgoing calls and low rate of service time of outgoing calls.
There are no comments on this title.