Print version ISSN 0874-5161
Inv. Op. vol.27 no.2 Lisboa Dec. 2007
Optimal design of a bulk service queue
King Saud University
College of Science, Department of Mathematics,
P.O. Box 2455, Riyadh 11451, Saudi Arabia
American University in Dubai
School of Business Administration, Department of Management and e-business
P.O. Box 28282, Dubai, United Arab Emirates
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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