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Suppose two hosts are connected by a point-to-point link and they are configured to use Stop-and-Wait protocol for reliable data transfer. Identify in which one of the following scenarios, the utilization of the link is the lowest.

  • A.Longer link length and lower transmission rate
  • B.Longer link length and higher transmission rate
  • C.Shorter link length and lower transmission rate
  • D.Shorter link length and higher transmission rate

Answer: B

Utilisation is lowest with a longer link length and higher transmission rate.

In Stop-and-Wait the sender transmits one frame and then idles for a round trip until the acknowledgement returns. With transmission time \(T_{t} = L/R\) and propagation delay \(T_{p} = d/v\):

\[ \begin{aligned} U &= \frac{T_{t}}{T_{t} + 2T_{p}} = \frac{1}{1 + 2a} \\ a &= \frac{T_{p}}{T_{t}} \end{aligned} \]

Utilisation falls as a grows. A longer link raises \(T_{p}\), and a higher transmission rate shrinks \(T_{t}\); both increase a, so together they give the lowest utilisation. A shorter link with a lower rate is the best case, and the two mixed options lie in between.

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