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

**Issues with TCP**

**Scalability Problem - I**

**Scalability Problem - II**

**Scalability Problem - III**

**Proposed Solutions**

**High Throughput TCP (Vinnicombe)**

**High-Throughput TCP - II**

**Linear System**

**Stability**

**Nyquist Test**

**Nyquist Plot (a=0.5)**

**Sufficient Condition for
Stability**

**Source and Router
Conditions**

**Decomposition for a
Particular Price Function**

**Network Analysis**

**Extension to Networks**

**Global Stability - I**

**Global Stability - II**

**Razumikhin’s theorem**

**What does it mean?**

**Global Stability Results**

**Stochastic Models**

**Discrete-Time Stochastic
Models**

**Model at the Link**

**Large Number of Sources
Limit**

**Arrivals and Departures**

** Connection-Level Model**

**Necessary Condition for
Stability**

**Priority**

**What if we use TCP for
resource allocation?**

**A Class of Utility
Functions**

**Connection-Level Fluid
Model**

**Proof of Stability**

**Some Open Problems**