ON THE M/G/1 QUEUE WITH MULTIPLE VACATIONS AND GATED SERVICE DISCIPLINE

Tetsuya Takine, Toshiharu Hasegawa
1992 Journal of the Operations Research Society of Japan  
The MIGII queue with multiple vacations and gated service discipline is considered. We first provide an alternative appreach to derive the Laplace-Stieltjes transfbrrn of the limiting waiting time distribution, which reveals the stochastic structure of the gated vacatien system. Next we discuss the regenerative cycle of the gated vacation system. Based on these considerations, we carry our a time-dependent analysis, from which various formulas are derived.
doi:10.15807/jorsj.35.217 fatcat:gt76xipsxjaxbavyd4rldsoyaq