Fig. 1. The Gnutella header.

Fig. 2. Measurement network infrastructure.

Fig. 3. Measurement process.

Fig. 4. Error in random sample transformed with the PIT.

Fig. 5. Maximum error for a PIT transformation.

Fig. 6. Interarrival times (s).

Fig. 7. Incoming session rate (sessions/s).

Fig. 8. Gnutella session duration (s).

Fig. 9. Message interarrival times (s).

Fig. 10. Message interdeparture times, upper 26.1%.

Fig. 11. IP byte rate vs. Gnutella byte rate.

Fig. 12. IP datagram size (bytes).

Quality-of-fit mapping

Model notation

Incoming session statistics

Outgoing session statistics

Incoming and outgoing session statistics

Session interarrival and interdeparture times statistics (s)

Models for session interarrival and interdeparture times (s)

Gnutella (valid and invalid) session interarrival times

Session size and duration models

Message interarrival time statistics (s)

Message interdeparture time statistics (s)

Models for message interarrival and interdeparture times (s)

Probability mass points for message interdeparture times (s)

Message size statistics (bytes)

Message size (bytes) and bulk size distribution

Probability mass points for message bulk size

Message byte rate (bytes/s) statistics

Gnutella (ALL) byte rate (bytes/s) modeling results

IP layer byte rate (bytes/s) statistics

Models for IP layer byte rates (bytes/s)

Model for IP datagram size (bytes)

Probability mass points for IP datagram size (bytes)

IP datagram interarrival and interdeparture times statistics(s)

Interarrival and interdeparture times models for IP datagrams(s)