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Optimal control of queueing systems with heterogeneous servers. (English) Zbl 1061.90035
Summary: An optimal policy to minimize the queue length in a multi-server controllable queueing system with heterogeneous servers has a threshold property, and it uses the fastest server if necessary [see W. Lin and P. R. Kumar, IEEE Trans. Autom. Control 29, 696–703 (1984; Zbl 0546.90035) and V. V. Rykov, Queueing Syst. 37, No. 4, 391–403 (2001; Zbl 1017.90026)]. This study gives a numerical description of optimal policies that minimize the operational cost for such a system.

MSC:
90B22 Queues and service in operations research
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