Models of single-server queues with vacations have been widely used to study the performance of many computer, communication, and production systems. In this paper, we use the formula for a wide class of vacation policies and multiple types of vacatio...
Models of single-server queues with vacations have been widely used to study the performance of many computer, communication, and production systems. In this paper, we use the formula for a wide class of vacation policies and multiple types of vacations based on the M/G/1 queue with generalized vacations and exhaustive service. Furthermore, we derive the waiting times for many complex vacation policies, which would otherwise be to analyze. These new results are also applicable to other related queueing models, if they conform with the basic model considered in this paper.