Non-Stationary Characteristics of AQM Based on the Queue Length

Area of Science:

• Computer Science
• Network Engineering
• Queueing Theory

Background:

• Buffer management is crucial for TCP/IP network performance.
• Existing analyses often assume stationary conditions, which may not reflect real-world network dynamics.
• Understanding non-stationary behavior is key to optimizing packet delivery and minimizing loss.

Purpose of the Study:

• To analyze non-stationary buffer management schemes in TCP/IP networks.
• To derive time-dependent formulas for packet waiting time and loss intensity.
• To investigate the influence of initial conditions and system parameters on network performance evolution.

Main Methods:

• Non-stationary analysis of random packet rejection based on queue length.
• Derivation of time-dependent formulas for queuing delay and packet loss intensity.
• Calculation of stationary waiting time and packet loss probability as a byproduct.

Main Results:

• Formulas derived for time-varying packet waiting time (queuing delay) and packet loss intensity.
• Demonstrated dependence of waiting time and loss evolution on initial buffer state and system parameters (load, dropping probability, packet size distribution).
• Obtained stationary performance metrics as special cases.

Conclusions:

• The derived formulas provide insights into the dynamic behavior of buffer management schemes.
• The analysis highlights the importance of considering non-stationary conditions for accurate network performance prediction.
• Numerical examples validate the practical applicability of the theoretical findings for TCP/IP network optimization.