The Asymptotic Mathematical Expectation for the Time at Which the Number of Customers in the M/G/1 Queue Reaches a finite Number for the First Time

Document Type : Original Article

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Abstract

In this paper the mathematical expectation and its asymptotic value for the time ζₙ at which the number of customers in the queue reaches n for the first time are derived for a M/G/1 bulk service queue. Moreover the fundamental lemmas and a limit theorem are obtained.

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The Egyptian Statistical Journal
Volume 28, Issue 2
December 1984
Pages 37-56

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