Optimal control for an \(M^X/G/1\) queue with two operation modes. (English) Zbl 1096.90515

Summary: The controlled \(M^X/G/1\)-type queueing model with two modes of operation is considered. The modes are characterized by different service time distributions and input rates. The switchover times are imposed in the model. The embedded stationary queue-length distribution and the explicit dependence of operation criteria on switchover levels are derived.


90B22 Queues and service in operations research
60K25 Queueing theory (aspects of probability theory)
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