%0 Book Section %1 susitaival2006modelling %A Susitaival, Riikka %A Aalto, Samuli %B Self-Organizing Systems %D 2006 %E de Meer, Hermann %E Sterbenz, JamesP.G. %I Springer Berlin Heidelberg %K availability dependability %P 34-48 %R 10.1007/11822035_5 %T Modelling the Population Dynamics and the File Availability in a BitTorrent-Like P2P System with Decreasing Peer Arrival Rate %U http://dx.doi.org/10.1007/11822035_5 %V 4124 %X Many measurement studies of P2P file sharing systems suggest that the request rate for a file changes over time and the system is thus non-stationary. For this reason we study the population dynamics and the availability of a file in a BitTorrent-like file sharing system, when the arrival rate for file requests decreases exponentially. We study the system first by a deterministic fluid model and then by a more detailed Markov chain analysis that allows estimating the life time of a single chunk exactly. Simple approximation for the life time is also derived. In addition, we simulate the life time of a file consisting multiple chunks in order to verify the analytical results to be applicable also to a more complex system. %@ 978-3-540-37658-3

@incollection{susitaival2006modelling, abstract = {Many measurement studies of P2P file sharing systems suggest that the request rate for a file changes over time and the system is thus non-stationary. For this reason we study the population dynamics and the availability of a file in a BitTorrent-like file sharing system, when the arrival rate for file requests decreases exponentially. We study the system first by a deterministic fluid model and then by a more detailed Markov chain analysis that allows estimating the life time of a single chunk exactly. Simple approximation for the life time is also derived. In addition, we simulate the life time of a file consisting multiple chunks in order to verify the analytical results to be applicable also to a more complex system.}, added-at = {2014-09-04T07:58:27.000+0200}, author = {Susitaival, Riikka and Aalto, Samuli}, biburl = {https://www.bibsonomy.org/bibtex/2d68d4b9d09594009d175055945569522/avail_map_stud}, booktitle = {Self-Organizing Systems}, description = {Modelling the Population Dynamics and the File Availability in a BitTorrent-Like P2P System with Decreasing Peer Arrival Rate - Springer}, doi = {10.1007/11822035_5}, editor = {de Meer, Hermann and Sterbenz, JamesP.G.}, interhash = {d9d410cf502d145fe4d98ff050a418d3}, intrahash = {d68d4b9d09594009d175055945569522}, isbn = {978-3-540-37658-3}, keywords = {availability dependability}, language = {English}, pages = {34-48}, publisher = {Springer Berlin Heidelberg}, series = {Lecture Notes in Computer Science}, timestamp = {2014-10-15T22:01:38.000+0200}, title = {Modelling the Population Dynamics and the File Availability in a BitTorrent-Like P2P System with Decreasing Peer Arrival Rate}, url = {http://dx.doi.org/10.1007/11822035_5}, volume = 4124, year = 2006 }