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Peer-to-Peer (P2P) systems have proved to be the most effective and popularfile sharing applications in recent years. Previous studies mainly focus on theequal service and the differentiated service strategies when peers have noinitial data before their download. In an upload-constrained P2P file sharingsystem, we model both the equal service process and the differentiated serviceprocess when peers' initial data distribution satisfies some specialconditions, and also show how to minimize the time to get the file to anynumber of peers. The proposed models can reveal the intrinsic relations amongthe initial data amount, the size of peer set and the minimum last finish time.By using the models, we can also provide arbitrary degree of differentiatedservice to a certain number of peers. We believe that our analysis process andachieved theoretical results could provide fundamental insights into studies onbandwidth allocation and data scheduling, and can give helpful reference bothfor improving system performance and building effective incentive mechanism inP2P file sharing systems.

Extended Equal Service and Differentiated Service Models for Peer-to-Peer File Sharing