On the Optimal Strategy for Activation of a Servicing Device in One Class of Systems with Group Servicing

The article considers a system with several limited queues for requests and one servicing device that operates in accordance with the following principle: switch on; service all accumulated requests at once; switch off. Servicing of requests produces revenue, while activation of the device creates overhead. The structure of the optimal activation strategy for the device that maximizes the average revenue per unit time is determined.