Mmpp analysis of network traffic using a transition window
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[0019] An illustration of a 2-state MMPP model is shown in FIG. 1. The model 110 is a bimodal sequencer that serves to predict inter-message arrival delays. It consists of a “bursty” state 112 represented as P1, with a high packet arrival rate, and an “idle” state 118 represented by P2, with a low packet arrival rate. The bursty state describes the network traffic when a burst of packets 114 occurs during heavy traffic conditions. During these bursts, the packet inter-arrival time is much smaller than the average packet arrival time, and is Poisson distributed with a mean inter-arrival time of λ1mean. The idle state 118 describes the network traffic 120 between bursts, when the traffic is light and the Poisson distributed packet inter-arrival time has a mean value λ2mean. When the packet inter-arrival time is less than λ1max and λ2min, all arrivals are in the bursty state. When the times are all above λ2min, the arrivals are in the idle state. When the inter-arrival time slows down ...
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