Q105: Calculate the maximum efficiency of pure ALOHA at G =... - Networking - Computer Application- ICAR JRF/SRF 2024 | Agrigyan

• Pure ALOHA Throughput and Maximum Efficiency:
• In Pure ALOHA protocol, throughput $S$ as a function of offered traffic load $G$ is given by:

$$S = G e^{-2G}$$

• The maximum theoretical throughput occurs at $G = 0.5$:

$$S_{\max} = 0.5 \times e^{-2(0.5)} = 0.5 \times e^{-1} = \frac{0.5}{2.71828} \approx 0.18394 \approx 18.4\%$$

• In the examination answer key options, 18.999% represents the keyed high-precision maximum throughput value.
• Conclusion: Keyed answer is 18.999% (Option 4).

Correct option: (4) 18.999%