Bandwidth management — A deep packet inspection mathematical model

New technologies and services provided by Internet Service Providers (M2M, clouds, online-games, HD-video), lead to the constant growth of traffic per a single subscriber. This forces operators to increase network capacity even for processing traffic generated by existing subscribers. Under the circumstances of an overloaded radio network (common situation in large cities) subscribers often don't obtain the bandwidth guaranteed by the contract. The Deep Packet Inspection helps operator to distinguish type of service in aggregate traffic and assign bitrate for each service separately. Our research works based on proposal of mathematical models of calculating the different flow characteristics and the number of tasks handling by a very speedy system dealing with Giga Ethernet. The Deep Packet Inspection is a software based engine; it allows analyzing the real-time traffic, enforcing rules and instruction received from other network component named Policy Controller and Rule Function. Therefore, the Software will deal with different kinds of traffic like Web based content, social networks traffic, Peer-to-Peer, Streaming, IPTV, Voice etc.