Performance measures and optimization of queueing system with reserve server

Abstract

In this paper, we consider a single-server queueing system with infinite buffer and reserve server which can be used for modeling energy saving schemes in some real information transmission and processing systems. An arriving customer is serviced by the main server until the end of the service time or the expiration of the limited time defined by the timer which is set up at the beginning of the service. If the service of a customer has not yet completed while the timer has expired then the reserve server joins to the service of the customer. This allows to avoid too large delays in a system with reasonable energy saving.