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- W2005608156 abstract "In this paper we consider a discrete-time GeoX/G/1 queue with unreliable server and multiple adaptive delayed vacations policy in which the vacation time, service time, repair time and the delayed time all follow arbitrary discrete distribution. By using a concise decomposition method, the transient and steady-state distributions of the queue length are studied, and the stochastic decomposition property of steady-state queue length has been proved. Several common vacation policies are special cases of the vacation policy presented in this study. The relationship between the generating functions of steady-state queue length at departure epoch and arbitrary epoch is obtained. Finally, we give some numerical examples to illustrate the effect of the parameters on several performance characteristics." @default.
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- W2005608156 date "2008-10-01" @default.
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- W2005608156 title "Discrete-time <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si21.gif overflow=scroll><mml:msup><mml:mrow><mml:mtext>Geo</mml:mtext></mml:mrow><mml:mrow><mml:mi>X</mml:mi></mml:mrow></mml:msup><mml:mo>/</mml:mo><mml:mi>G</mml:mi><mml:mo>/</mml:mo><mml:mn>1</mml:mn></mml:math> queue with unreliable server and multiple adaptive delayed vacations" @default.
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- W2005608156 doi "https://doi.org/10.1016/j.cam.2007.08.019" @default.
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