The busy period of the M/G/1 vacation model with a Bernoulli schedule

The busy period of the M/G/1 vacation model with a Bernoulli schedule

0.00 Avg rating0 Votes
Article ID: iaor1988342
Country: United States
Volume: 4
Start Page Number: 507
End Page Number: 521
Publication Date: Dec 1988
Journal: Communications in Statistics - Stochastic Models
Authors: ,
Abstract:

The server busy period for the M/G/1 vacation model with a Bernoulli schedule is studied. Simple expressions are found for (i) the conditional joint distribution of the busy period and number in the system at the end of a busy period given the number in the system at the beginning of the busy period, (ii) the ergodic distribution of the number in the system at a budy period initiation epoch, and (iii) the distribution of the depletion time at service initiation epochs. Expressions in the real domain for the key ingredients of the busy period are also given.

Reviews

Required fields are marked *. Your email address will not be published.