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.
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. The Egyptian Statistical Journal, 28(2), 37-56. doi: 10.21608/esju.1984.316603
MLA
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", The Egyptian Statistical Journal, 28, 2, 1984, 37-56. doi: 10.21608/esju.1984.316603
HARVARD
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', The Egyptian Statistical Journal, 28(2), pp. 37-56. doi: 10.21608/esju.1984.316603
VANCOUVER
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. The Egyptian Statistical Journal, 1984; 28(2): 37-56. doi: 10.21608/esju.1984.316603