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A New Analysis of a Fluid Queue Driven By M/M/1 Queue |
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PP: 865-869 |
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doi:10.18576/jsap/100322
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Author(s) |
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Abdelaziz Darwiesh,
Ahmed Tarabia,
Ali El-Baz,
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Abstract |
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| In this paper, we consider a fluid queue with an infinite buffer capacity which is both filled and depleted by a fluid at constant rates. These rates are uniquely determined by the number of customers in an M/M/1 queue with constant arrival and service rates. A simple series form is obtained for the joint stationary distribution of the buffer occupancy. This method is explicit where the coefficients of the series are obtained in closed form. |
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