A note on the queueing systems GI/D/1 and D/G/1
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In this note we adopt the notation and terminology of Kingman (1966) without further comment. For the general single server queue one has For the queueing systems GI/D/1 and D/G/1 we shall show that it is possible to make use of the special form of the service time and inter-arrival time distributions, respectively, to evaluate the right hand side of (1). A similar evaluation applies to the limiting distribution when it exists. The results obtained could also be obtained from those of Finch (1969) and Henderson and Finch (1970) by using suitable limiting arguments.
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2018 ◽
Vol 189
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pp. 02006
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1964 ◽
Vol 1
(02)
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pp. 369-384
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1978 ◽
Vol 26
(2)
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pp. 290-295
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