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Investigação Operacional
Print version ISSN 0874-5161
Abstract
BOUNKHEL, Messaoud and TADJ, Lotfi. Optimal design of a bulk service queue. Inv. Op. [online]. 2007, vol.27, n.2, pp.131-138. ISSN 0874-5161.
This paper uses a control-theoretic approach, the so-called predictive control, for the optimal design of a single-server, finite capacity, bulk-service queueing system. The problem is presented as an optimal control problem with one state vector variable and one control variable. The optimal service rate is obtained explicitly under a general quadratic cost function. Illustrative numerical examples are presented and the effect of the initial state distribution on the shape of the optimal solution is demonstrated.
Keywords : Queue; optimal control; predictive control; optimal design.
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