Abstract
We consider the M^X/G/1 queue with and without vacation time under nonpreemptive last-come first-served (LCFS). The Laplace Stieltjes transform of the distribution function of the steady-state waiting time is found. The first two moments of the waiting time are obtained. We find the relationship between the second moments of the waiting time in the M^X/G/1 queue with and without vacation time under first-come first-served (FCFS) and LCFS.
