Abstract
The optimization and balancing problems formulated in the author's previous works are theoretically investigated for queueing networks with several classes of messages. The necessary and sufficient conditions of the global optimal solution of these problems are obtained. It is shown that the method of Lagrangian multipliers can be used in solving them.
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Gerasimov, A.I. Synthesis of Closed Queueing Networks with Several Classes of Messages on the Basis of Their Optimization and Balancing. Cybernetics and Systems Analysis 36, 906–915 (2000). https://doi.org/10.1023/A:1009417712791
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DOI: https://doi.org/10.1023/A:1009417712791