Optimal server allocation in general,finite, multi‐server queueing networks |
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| Authors: | J. MacGregor Smith F. R. B. Cruz T. van Woensel |
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| Affiliation: | 1. Department of Mechanical and Industrial Engineering, University of Massachusetts Amherst, MA 01003, U.S.A.;2. Department of Statistics, Federal University of Minas Gerais, Belo Horizonte, MG, Brazil;3. Department of Operations, Planning Accounting and Control, Eindhoven University of Technology, Eindhoven, The Netherlands |
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| Abstract: | Queueing networks with finite buffers, multiple servers, arbitrary acyclic, series‐parallel topologies, and general service time distributions are considered in this paper. An approach to optimally allocate servers to series, merge, and split topologies and their combinations is demonstrated. The methodology builds on two‐moment approximations to the service time distribution embedded in the generalized expansion method for computing the performance measures in complex finite queueing networks and Powell's algorithm for optimally allocating servers to the network topology. Convexity of the objective function along with results from computational experiments is presented for showing the efficacy of the methodology. Copyright © 2009 John Wiley & Sons, Ltd. |
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| Keywords: | multi‐server finite buffer queueing networks optimal server allocation |
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