Abstract
In this paper, we model the number of seeders during the initial stage of a file sharing process on BitTorrent networks. The initial stage is crucial for successfully identifying the initial seeder, who provided the source of the files on the Internet. Most existing BT models focus on different parameters in the steady state, which occurs at a later stage of a file sharing process. None of them are able to characterize the initial stage. In this study, we propose the first model on capturing the characteristics on the growth of the number of seeders during the initial stage on a BT network. Also, we derive a lower bound for the appearing time of the second seeder and the length of the stationary period. Our model suggests that the number of seeders remain stationary during the starting period of a file sharing process. When it enters the rapid-rising period, it increases more speedily as an increasing number of seeders are available for supplying the rarest pieces. The observed demarcation of the stationary period and the rapid-rising period is significant in identifying the initial seeder on a BT network. If the investigative work can be commenced within the stationary period, the chance of identifying the initial seeder is much higher. On the other hand, if the file distribution has entered the rapid-rising period, one can no longer determine which of the existing seeders is, indeed, the initial seeder.
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References
Ascan. http://www.dc3.mil/dcci/dcciAbout.php. Accessed 1 May 2011
Napster. http://music.napster.com/napsterhomemain.htm?signin=1. Accessed 1 May 2011
P2p marshal. http://p2pmarshal.atc-nycorp.com/. Accessed 1 May 2011
Vuze: the most powerful bittorrent app on earth. http://www.vuze.com/. Accessed 1 May 2011
Anti-piracy in Asia Pacific (2009) http://www.mpa-i.org/piracy_home.html. Accessed 1 May 2011
Sandvine: close to half of all bandwidth sucked up by p2p (2009) http://arstechnica.com/news.ars/post/20080623.html
Bangeman E (2007) P2p responsible for as much as 90 percent of all net traffic. http://arstechnica.com/news.ars/post/20070903.html
Bharambe AR, Herley C, Padmanabhan VN (2005) Some observations on bittorrent performance. Perform Eval Rev 33:2005
Cohen B (2003) Incentives build robustness in bittorrent. http://www2.sims.berkeley.edu/research/conferences/p2pecon/papers/s4-cohen.pdf. Accessed 1 May 2011
Dale C, Liu J (2007) A measurement study of piece population in bittorrent. In: GLOBECOM’07, pp 405–410
Dán G, Carlsson N (2009) Dynamic swarm management for improved bittorrent performance. In: Proceedings of the 8th international conference on peer-to-peer systems. USENIX Association, Berkeley, CA, USA, IPTPS’09, pp 10–10. http://portal.acm.org/citation.cfm?id=1855663.1855673
Fan B (2006) Stochastic differential equation approach to model bittorrent-like p2p systems. In: In Proceedings of IEEE ICC
Fisk NW (2009) Understanding online piracy: the truth about illegal file sharing. Praeger, New York
Ge Z, Figueiredo DR, Jaiswal S, Kurose J, Towsley D (2003) Modeling peer-peer file sharing systems. In: Proceedings of INFOCOM 2003, pp 2188–2198
Guo L, Chen S, Xiao Z, Tan E, Ding X, Zhang X (2005) Measurements, analysis, and modeling of bittorrent-like systems. In: Proceedings of the 5th ACM SIGCOMM conference on internet measurement, USENIX Association, Berkeley, CA, USA, IMC ’05, pp 4–4. http://portal.acm.org/citation.cfm?id=1251086.1251090
Hendrik S, Klaus M (2009) Internet study 2008/2009. http://www.ipoque.com/resources/internet-studies
Ieong R, Lai K, Chow K, Law F, Kwan M, Tse K (2009) A model for foxy peer-to-peer network investigations. In: Fifth annual IFIP WG 11.9 international conference on digital forensics, advances in digital forensics V, pp 175–186
Ieong R, Lai K, Chow K, Kwan M, Law F (2010) Identifying first seeders in foxy peer-to-peer networks. In: Sixth annual IFIP WG 11.9 international conference on digital forensics, advances in digital forensics VI, pp 151–170
Ieong R, Lai K, Chow K, Kwan M, Law F, Tse H, Tse K (2010) Handbook of research on computational forensics, digital crime and investigation: methods and solution, IGI Global, United Kingdom, chap. Forensic Investigation of Peer-to-Peer Networks, pp 355–378
Intellectual Property Department TGoHKSAR (0000) Awardness of protection of intellectual property rights increases. http://www.info.gov.hk/gia/general/200601/19/P200601190149.htm
Jun S, Ahamad M (2005) Incentives in bittorrent induce free riding. In: Proceedings of the 2005 ACM SIGCOMM workshop on economics of peer-to-peer systems, P2PECON ’05. ACM, New York, NY, USA, pp 116–121. doi:10.1145/1080192.1080199
Karagiannis T, Broido A, Brownlee N, Claffy K, Faloutsos M (2004) Is P2P dying or just hiding? Global Internet and Next Generation Networks, Dallas, Texas, Globecom 2004
Kingman JFC (1993) Poisson processes. Clarendon Press, Oxford
Legout A, Urvoy-Keller G, Michiardi P (2006) Rarest first and choke algorithms are enough. In: Proceedings of the 6th ACM SIGCOMM conference on internet measurement, IMC ’06. ACM, New York, NY, USA, pp 203–216. doi:10.1145/1177080.1177106
Levin D, LaCurts K, Spring N, Bhattacharjee B (2008) Bittorrent is an auction: analyzing and improving bittorrent’s incentives. SIGCOMM Comput Commun Rev 38:243–254. doi:10.1145/1402946.1402987
Qiu D, Srikant R (2004) Modeling and performance analysis of bit torrent-like peer-to-peer networks. In: ACM SIGCOMM
Scottsdale A (2008) The value of unlicensed music shared worldwide on p2p networks in 2007 was US$ 69 billion. http://www.multimediaintelligence.com/
Software SF Forensics p2p. http://www.spearforensics.com/products/forensicp2p/. Accessed 1 May 2011
Veciana GD, Yang X (2003) Fairness, incentives and performance in peer-to-peer networks. In: The forty-first annual allerton conference on communication, control and computing
Ye L, Zhang H, Li F, Su M (2010) A measurement study on bittorrent system. Int J Commun Netw Syst Sci 3(12):916–924
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Lai, P.K.Y., Chow, K.P., Hui, L.C.K. et al. Modeling the initial stage of a file sharing process on a BitTorrent network. Peer-to-Peer Netw. Appl. 7, 311–319 (2014). https://doi.org/10.1007/s12083-011-0118-2
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DOI: https://doi.org/10.1007/s12083-011-0118-2