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A loss network model with overflow for capacity planning of a neonatal unit
Authors:Md Asaduzzaman  Thierry J Chaussalet  Nicola J Robertson
Institution:(1) Division IV (room PK 6X.185), VU University Medical Centre, De Boelelaan 1117, PO Box 7075, Amsterdam, The Netherlands;(2) Department of Cardiology, VU University Medical Centre, Amsterdam, The Netherlands;(3) Department of Neurology, VU University Medical Centre, Amsterdam, The Netherlands;(4) Faculty of Sciences, Department of Mathematics, VU University, Amsterdam, The Netherlands
Abstract:The main aim of this paper is to derive a solution to the capacity problem faced by many perinatal networks in the United Kingdom. We propose a queueing model to determine the number of cots at all care units for any desired overflow and rejection probability in a neonatal unit. The model formulation is developed, being motivated by overflow models in telecommunication systems. Exact expressions for the overflow and rejection probabilities are derived. The model is then applied to a neonatal unit of a perinatal network in the UK.
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