Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
Control policies for the MX/g/1 queueing system
Management Science
M/M/1 queues with working vacations (M/M/1/WV)
Performance Evaluation
The optimal control of an M/G/1 queueing system with server vacations, startup and breakdowns
Computers and Industrial Engineering
M/G/1 queue with multiple working vacations
Performance Evaluation
Performance of the MAP/G/1 queue under the dyadic control of workload and server idleness
valuetools '06 Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
On the convexity of the two-threshold policy for an M/G/1 queue with vacations
Operations Research Letters
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In this note, we study the issue of adjusting the workload of an under-utilized server in a queueing system. Using an M/G/1 model with server vacations of two types, we can effectively control the workload level of the server. The server vacations are time periods that the server does not serve the queue. Type 1 vacations represent durations of supplementary non-queue jobs assigned to the server. Type 2 vacations represent the non-productive period for the server such as idle time. With a two threshold policy, we demonstrated that the server's workload can be effectively controlled. A simple procedure for determining the conditionally optimal policy is proposed. Numerical examples are presented to illustrate the use of the procedure.