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Performance of the MAP/G/1 Queue Under the Dyadic Control of Workload and Server Idleness

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Abstract

This paper studies the steady-state queue length process of the MAP/G/1 queue under the dyadic control of the D-policy and multiple server vacations. We derive the probability generating function of the queue length and the mean queue length. We then present computational experiences and compare the MAP queue with the Poisson queue.

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Correspondence to Ho Woo Lee.

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Lee, H.W., Cheon, S.H., Lee, S.W. et al. Performance of the MAP/G/1 Queue Under the Dyadic Control of Workload and Server Idleness. Discrete Event Dyn Syst 18, 537–562 (2008). https://doi.org/10.1007/s10626-007-0024-1

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  • DOI: https://doi.org/10.1007/s10626-007-0024-1

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