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• W2100029051 abstract "The renewal age process increases linearly with slope one and is reset to zero at points governed by a Poisson process. We present various results for the random vari- able Hx that represents the first time the process hits the level x. These results include three characterizations of the distribution function and a symptotic expressions for the tail distribution. The latter involve complex-valued solution s of the Lambert W function. We further establish several connections to other probabilis tic models. Using the theory of uniform spacings, we show that Hx has the same distribution as the sojourn time of the first customer in an M/D/1 processor sharing queue." @default.
• W2100029051 created "2016-06-24" @default.
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• W2100029051 date "2008-01-01" @default.
• W2100029051 modified "2023-10-18" @default.
• W2100029051 title "Connecting renewal age processes and M/D/1 processor sharing queues through stick breaking" @default.
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• W2100029051 hasPublicationYear "2008" @default.
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