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
Mokaddis, G. (1984). 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. EKB Journal Management System, 28(2), 37-56. doi: 10.21608/esju.1984.316603
G. S. Mokaddis. "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". EKB Journal Management System, 28, 2, 1984, 37-56. doi: 10.21608/esju.1984.316603
Mokaddis, G. (1984). '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', EKB Journal Management System, 28(2), pp. 37-56. doi: 10.21608/esju.1984.316603
Mokaddis, G. 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. EKB Journal Management System, 1984; 28(2): 37-56. doi: 10.21608/esju.1984.316603

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

The Egyptian Statistical Journal
Article 2, Volume 28, Issue 2, December 1984, Page 37-56  XML
Document Type: Original Article
DOI: 10.21608/esju.1984.316603
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Author
G. S. Mokaddis
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.
Keywords
Asymptotic Mathematical Expectation; First Time; Limit Theorem; M/G/1 Queue; Number of Customers
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