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On the slow server problem. (English. Russian original) Zbl 1180.90078
Autom. Remote Control 70, No. 12, 2013-2023 (2009); translation from Avtom. Telemekh. 2009, No. 12, 81-91 (2009).
Summary: The problem of optimal control over a Markov queueing system with heterogeneous servers and a joint queue is considered, which is also known in the literature as “the slow server problem.” The classical model is generalized here to the case with delay and call serving penalties. It is proved here that the optimal control policy for servers’ activating is of monotonic and threshold nature.

90B22 Queues and service in operations research
Full Text: DOI
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