Resumo

BOUNKHEL, Messaoud  e  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.

Palavras-chave : Queue; optimal control; predictive control; optimal design.