caa a22 4500 445839805 CHVBK 20180317145340.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00186-010-0340-3 doi (NATIONALLICENCE)springer-10.1007/s00186-010-0340-3 Accuracy of fluid approximations to controlled birth-and-death processes: absorbing case [Elektronische Daten] [Alexey Piunovskiy, Yi Zhang] We consider the fluid model of a controlled birth-and-death process with an absorbing state. Instead of analyzing the trajectories, we investigate the performance functionals of the underlying process by considering algebraic equations of the dynamic programming type. We provide the accuracy of such fluid approximations and give illustrative examples. Springer-Verlag, 2010 Birth-and-death process nationallicence Continuous-time Markov chain nationallicence Fluid model nationallicence Optimal control nationallicence Queueing system nationallicence Dynamic programming nationallicence Piunovskiy Alexey Department of Mathematical Sciences, The University of Liverpool, L69 7ZL, Liverpool, UK aut Zhang Yi Department of Mathematical Sciences, The University of Liverpool, L69 7ZL, Liverpool, UK aut Mathematical Methods of Operations Research Springer-Verlag 73/2(2011-04-01), 159-187 1432-2994 73:2<159 2011 73 186 https://doi.org/10.1007/s00186-010-0340-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00186-010-0340-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Piunovskiy Alexey Department of Mathematical Sciences, The University of Liverpool, L69 7ZL, Liverpool, UK aut NATIONALLICENCE 700 1- Zhang Yi Department of Mathematical Sciences, The University of Liverpool, L69 7ZL, Liverpool, UK aut NATIONALLICENCE 773 0- Mathematical Methods of Operations Research Springer-Verlag 73/2(2011-04-01), 159-187 1432-2994 73:2<159 2011 73 186 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer