The M/G/1 queue with multiple vacations and gated service discipline is considered. The authors first provide an alternative approach to derive the Laplace-Stieltjes transform of the limiting waiting time distribution, which reveals the stochastic structure of the gated vacation system. Next they discuss the regenerative cycle of the gated vacation system. Based on these considerations, the authors carry out a time-dependent analysis, from which various formulas are derived.
