Impact of Packet Size Diversity

The impact of packet size diversity can be understood by assuming that each node uses the same data rate, i.e $\forall i,j \in I$, d_i = d_j. Based on Equations 2 and 3, we have:

$$T(i) = \frac{\frac{s_i}{\gamma_i}}{\sum_{j \in I}{\frac{s_j}{\gamma_j}}}$$ (8)

$$R(i) = \frac{s_i}{\sum_{j \in I}{\frac{s_j}{\gamma_j}}}$$ (9)

$$R(I) = \frac{\sum_{i \in I}{s_i}}{\sum_{j \in I}{\frac{s_j}{\gamma_j}}}$$ (10)

Once again, R(i) depends on the baseline throughputs of all other competing nodes. However, the equations make it clear that in this case T(i) and R(i) may differ across nodes, depending upon packet size.