Computer Networks · TEE · mocks

Q1C · ALOHA throughput

TEE mock B · full paper

TEE · 100 attempted marks · solutions for every choice · current syllabus 702AI0C023

TEE practice mock · Q1C. In a Slotted ALOHA system, the offered load is G=0.6. Find normalized throughput, percentage throughput, and the theoretical maximum. [5 mock marks]

Answer

Given

Protocol = Slotted ALOHA; G = 0.6 attempts/frame time.

To find

S, 100S and the maximum possible S.

Formula and why

S=G e^{-G}LaTeX: S=G e^{-G}

Select the formula from the protocol name. The exponent is −G because Slotted ALOHA has a T vulnerable period.

Step-by-step solution

Step 1. Calculate the exponent

−1 × 0.6 = -0.6.

Step 2. Evaluate the exponential

e^{-0.6} \approx 0.548811636LaTeX: e^{-0.6} \approx 0.548811636

Step 3. Multiply by G

S = 0.6 × 0.548811636 ≈ 0.329286982 successful frames/frame time.

Step 4. Convert to percentage

0.329286982 × 100 ≈ 32.9287%.

Step 5. State the maximum separately

The maximum is 1/(1e) ≈ 0.367879 = 36.7879%, at G=1.

Final answer: S ≈ 0.329287; percentage ≈ 32.9287%; Smax ≈ 0.367879 at G=1.