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      <subfield code="a">Gómez-Corral, Antonio</subfield>
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      <subfield code="a">Ramalhoto, M.F.</subfield>
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      <subfield code="c">1999-04-03</subfield>
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      <subfield code="a">In this paper, we introduce a bivariate Markov process {X(t), t greater than or equal to 0} = {(C(t), Q(t)), t greater than or equal to 0} whose state space is a lattice semistrip E = {0, 1, 2, 3} x Z(+). The process {X(t), t greater than or equal to 0} can be seen as the joint process of the number of servers and waiting positions occupied, and the number of customers in orbit of a generalized Markovian multiserver queue with repeated attempts and state dependent intensities. Using a simple approach, we derive closed form expressions for the stationary distribution of {X(t), t greater than or equal to 0} when a sufficient condition is satisfied. The stationary analysis of the M/M/2/2 + 1 and M/M/3/3 queues with linear retrial rates is studied as a particular case in this process.</subfield>
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      <subfield code="a">0895-7177</subfield>
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      <subfield code="a">10.1016/S0895-7177(99)00138-7</subfield>
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      <subfield code="a">https://hdl.handle.net/20.500.14352/57423</subfield>
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      <subfield code="a">http://www.sciencedirect.com/science/article/pii/S0895717799001387</subfield>
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      <subfield code="a">http://www.sciencedirect.com</subfield>
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      <subfield code="a">The stationary distribution of a Markovian process arising in the theory of multiserver retrial queueing systems</subfield>
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