Performance optimization of open zero-buffer multi-server queueing networks

Authors:
R. Andriansyah;T. Van Woensel;F. R. B. Cruz;L. Duczmal
Affiliations:
Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands;Department of Technology Management, Operations, Planning, Accounting and Control, Eindhoven University of Technology, Eindhoven, The Netherlands;School of Computer Science and Information Technology, University of Nottingham, Jubilee Campus, Wollaton Road, Nottingham NG8 1BB, UK;Department of Statistics, Federal University of Minas Gerais, 31270-901 Belo Horizonte, MG, Brazil
Venue:
Computers and Operations Research
Year:
2010

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Abstract

Open zero-buffer multi-server general queueing networks occur throughout a number of physical systems in the semi-process and process industries. In this paper, we evaluate the performance of these systems in terms of throughput using the generalized expansion method (GEM) and compare our results with simulation. Secondly, we embed the performance evaluation in a multi-objective optimization setting. This multi-objective optimization approach results in the Pareto efficient curves showing the trade-off between the total number of servers used and the throughput. Experiments for a large number of settings and different network topologies are presented in detail.