**TCP Stability and Resource
Allocation: Part I**

**References**

**What is Congestion?**

**Congestion indication and
Control**

**Window Flow Control**

**Window to Rate**

**Adaptive Window Flow
Control**

**Simplified TCP Dynamics - I**

**Simplified TCP Dynamics -
II**

**Differential Equation - I**

**Differential Equation - II**

**Equilibrium**

**Multiple Sources, Identical
RTTs**

**Model for packet loss
probability**

**Stability**

**Linearization**

**Stability Analysis**

**TCP-Reno is not scalable**

**TCP and Resource Allocation**

**Utility Functions**

**Kelly’s System Problem**

**Link Price Formulation**

**Solution**

**TCP-Reno**

**Simplified TCP-Reno**

**TCP: A Decentralized
Solution to the Resource Allocation Problem**

**Convergence**

**Proportionally-Fair
Controller**

**Price versus Probabilistic
Feedback**

**Alternate views: Duality**

**Dual Algorithm**

**Primal-Dual Algorithm**

**Active Queue Management**

**Random Early Detection
(RED)**

**Random Early Marking (REM)**

**Exponential-RED**

**Explicit Congestion
Notification (ECN)**

**Part II**