caa a22 4500 445840056 CHVBK 20180317145341.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00186-011-0351-8 doi (NATIONALLICENCE)springer-10.1007/s00186-011-0351-8 Sojourn time asymptotics in a parking lot network [Elektronische Daten] [Regina Egorova, Bert Zwart] For a two-class two-node bandwidth sharing network called parking lot network we investigate the tail behavior of the queue length and sojourn time under light-tailed assumptions. These results extend previous results in the literature obtained for a single-node network. Explicit conditions are given that indicate whether congestion at the second node influences the large deviations behavior or not. To overcome the complexities that arise when moving away from the single node case, we rely on recent results on overloaded bandwidth sharing networks obtained by Borst etal. (2009), and a comparison with the modified proportional fairness discipline, as introduced by Massoulié (Ann Appl Probab 17: 809-839, 2007). Specifically, our results include upper bounds for the distribution of the number of flows in the network, finiteness of the moment generating function of the workload, and large-deviations asymptotics for the sojourn time assuming flow size distributions having a bounded hazard rate. Springer-Verlag, 2011 Large deviations nationallicence Bandwidth sharing networks nationallicence Egorova Regina CWI, P.O. Box 94079, 1090GB, Amsterdam, The Netherlands aut Zwart Bert CWI, P.O. Box 94079, 1090GB, Amsterdam, The Netherlands aut Mathematical Methods of Operations Research Springer-Verlag 74/2(2011-10-01), 163-190 1432-2994 74:2<163 2011 74 186 https://doi.org/10.1007/s00186-011-0351-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00186-011-0351-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Egorova Regina CWI, P.O. Box 94079, 1090GB, Amsterdam, The Netherlands aut NATIONALLICENCE 700 1- Zwart Bert CWI, P.O. Box 94079, 1090GB, Amsterdam, The Netherlands aut NATIONALLICENCE 773 0- Mathematical Methods of Operations Research Springer-Verlag 74/2(2011-10-01), 163-190 1432-2994 74:2<163 2011 74 186 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer