## 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.

### MSC:

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

 [1] Dudin, Automation and Remote Control 11 pp 74– (1981) [2] Skorokhod, Probability theory and random processes (1980) · Zbl 0479.60001 [3] Dudin, Queueing systems with varying modes of operation and its optimization (1991) [4] Nishimura, Probability in the Engineering and Informational Sciences 9 pp 355– (1995) [5] Kolmogorov, Basic notions of the probability theory (1936) [6] Press, Numerical recipes (1986)
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