Asymptotic analysis of Markovian retrial queue with unreliable server and multiple types of outgoing calls A. A. Nazarov, S. V. Paul, O. D. Lizyura
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ArticleContent type: Текст Media type: электронный Subject(s): системы массового обслуживания с повторными вызовами | асимптотический анализ | марковские системы массового обслуживанияGenre/Form: статьи в журналах Online resources: Click here to access online
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Global and stochastic analysis Vol. 8, № 3. P. 143-149Abstract: In this paper, we consider markovian retrial queue with twoway communication and unreliable server. Input process is Poisson with constant rate. Incoming calls that find the server busy join the orbit and reattempt to get the service after an exponentially distributed delay. In its idle time the server makes outgoing calls. There are multiple types of outgoing calls in the system. Service durations and rates of making outgoing calls are different and depend on type of outgoing call. The unreliability of the server is characterised by breakdown and restoration periods and its durations are exponentially distributed with parameters depending on the server state.
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In this paper, we consider markovian retrial queue with twoway communication and unreliable server. Input process is Poisson with constant rate. Incoming calls that find the server busy join the orbit and reattempt to get the service after an exponentially distributed delay. In its idle time the server makes outgoing calls. There are multiple types of outgoing calls in the system. Service durations and rates of making outgoing calls are different and depend on type of outgoing call. The unreliability of the server is characterised by breakdown and restoration periods and its durations are exponentially distributed with parameters depending on the server state.
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