Operational behavior of the MAP / G / 1 queue under N -policy with a single vacation and set-up

Ho Woo Lee and Boo Yong Ahn

International Journal of Stochastic Analysis, 2002, vol. 15, 1-30

Abstract:

This paper considers the MAP / G / 1 queue under N -policy with a single vacation and set-up. We derive the vector generating functions of the queue length at an arbitrary time and at departures in decomposed forms. We also derive the Laplace-Stieltjes transform of the waiting time. Computation algorithms for mean performance measures are provided.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:961458

DOI: 10.1155/S1048953302000151

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