Markovian polling systems with mixed service disciplines and retrial customers |
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Authors: | Christos Langaris |
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Institution: | (1) Dept. of Mathematics, University of Ioannina, 45110 Ioannina, Greece |
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Abstract: | A Markovian polling model with a mixture of exhaustive and gated type stations is considered. The cuttomers are ofn different tppes and arrive to the system acccording to the Poisson distribution, in batches containing customers of all types
(correlated batch arrivals). The customers who find upon arrival the server unavailable repeat their arrival individually
after a random amount of time (retrial customers). The service timesT
i
and the switchover timesV
ij
are arbitrarily distributed with different distributions for the different stations.
For such a model we obtain formulae for the expected number of customers in each station in a steady state. Our formulae hold
also for zero switchover periods and can easily be adapted to hold for the corresponding ordinary Markovian mixed polling
models with/without switchover times and correlated batch arrivals. Numerical calculations are finally used to observe system's
performance. |
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Keywords: | Polling Model Retrial Customers Markovian Order Correlated Arrivals |
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